TSTP Solution File: ALG147+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG147+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 : n023.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 16:37:41 EDT 2023
% Result : Unsatisfiable 33.23s 5.07s
% Output : Proof 266.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG147+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 04:38:25 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.57/0.59 ________ _____
% 0.57/0.59 ___ __ \_________(_)________________________________
% 0.57/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.57/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.63/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.63/0.59
% 0.63/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.63/0.59 (2023-06-19)
% 0.63/0.59
% 0.63/0.59 (c) Philipp Rümmer, 2009-2023
% 0.63/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.63/0.59 Amanda Stjerna.
% 0.63/0.59 Free software under BSD-3-Clause.
% 0.63/0.59
% 0.63/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.63/0.59
% 0.63/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.63/0.60 Running up to 7 provers in parallel.
% 0.63/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.63/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.63/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.63/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.63/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.63/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.63/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.54/1.39 Prover 4: Preprocessing ...
% 4.54/1.39 Prover 1: Preprocessing ...
% 5.04/1.42 Prover 6: Preprocessing ...
% 5.04/1.42 Prover 0: Preprocessing ...
% 5.04/1.42 Prover 2: Preprocessing ...
% 5.04/1.42 Prover 5: Preprocessing ...
% 5.04/1.42 Prover 3: Preprocessing ...
% 8.29/1.88 Prover 2: Constructing countermodel ...
% 8.29/1.88 Prover 3: Constructing countermodel ...
% 9.01/1.94 Prover 1: Constructing countermodel ...
% 9.01/1.95 Prover 4: Constructing countermodel ...
% 9.01/1.96 Prover 0: Constructing countermodel ...
% 9.01/1.98 Prover 6: Constructing countermodel ...
% 10.56/2.19 Prover 5: Constructing countermodel ...
% 33.23/5.07 Prover 3: proved (4458ms)
% 33.23/5.07
% 33.23/5.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.23/5.07
% 33.23/5.07 Prover 2: stopped
% 33.23/5.07 Prover 6: stopped
% 33.23/5.07 Prover 5: stopped
% 33.23/5.08 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 33.23/5.08 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 33.23/5.08 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 33.23/5.08 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 33.23/5.09 Prover 0: stopped
% 33.23/5.09 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 35.03/5.29 Prover 8: Preprocessing ...
% 35.23/5.30 Prover 7: Preprocessing ...
% 35.46/5.33 Prover 10: Preprocessing ...
% 35.50/5.34 Prover 13: Preprocessing ...
% 35.50/5.39 Prover 11: Preprocessing ...
% 36.08/5.43 Prover 8: Constructing countermodel ...
% 36.63/5.52 Prover 7: Constructing countermodel ...
% 36.63/5.54 Prover 13: Constructing countermodel ...
% 36.63/5.56 Prover 10: Constructing countermodel ...
% 37.58/5.60 Prover 11: Constructing countermodel ...
% 72.94/10.15 Prover 13: stopped
% 73.69/10.20 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 74.03/10.25 Prover 16: Preprocessing ...
% 74.69/10.35 Prover 16: Constructing countermodel ...
% 116.84/15.69 Prover 16: stopped
% 116.84/15.70 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 118.08/15.84 Prover 19: Preprocessing ...
% 118.57/15.92 Prover 19: Constructing countermodel ...
% 118.57/15.95 Prover 1: stopped
% 145.28/19.43 Prover 19: stopped
% 190.47/27.73 Prover 7: stopped
% 191.61/27.94 Prover 4: stopped
% 226.88/38.83 Prover 11: stopped
% 229.26/39.81 Prover 8: stopped
% 235.73/44.97 Prover 10: Found proof (size -1295510892)
% 235.73/44.97 Prover 10: proved (39902ms)
% 235.73/44.97
% 235.73/44.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 235.73/44.97
% 239.83/46.79 % SZS output start Proof for theBenchmark
% 240.67/47.09 Assumptions after simplification:
% 240.67/47.09 ---------------------------------
% 240.67/47.09
% 240.67/47.09 (ax1)
% 240.85/47.14 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.14 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 240.85/47.14 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 240.85/47.14 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 240.85/47.14 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 240.85/47.14 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 240.85/47.14 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 240.85/47.14 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 240.85/47.14 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 240.85/47.14 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 240.85/47.14 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 240.85/47.14 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 240.85/47.14 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 240.85/47.14 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 240.85/47.14 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 240.85/47.14 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 240.85/47.14 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 240.85/47.14 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 240.85/47.14 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 240.85/47.14
% 240.85/47.15 (ax10)
% 240.85/47.15 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.15 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e2, v1) = v2 &
% 240.85/47.15 op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 &
% 240.85/47.15 $i(v1))))
% 240.85/47.15
% 240.85/47.15 (ax11)
% 240.85/47.15 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.15 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e1, v1) = v2 &
% 240.85/47.15 op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 &
% 240.85/47.15 $i(v1))))
% 240.85/47.15
% 240.85/47.15 (ax12)
% 240.85/47.15 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.15 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e3, v1) = v2 &
% 240.85/47.15 op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 &
% 240.85/47.15 $i(v1))))
% 240.85/47.15
% 240.85/47.15 (ax13)
% 240.85/47.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.16 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e2, v1) = v2 &
% 240.85/47.16 op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 &
% 240.85/47.16 $i(v1))))
% 240.85/47.16
% 240.85/47.16 (ax14)
% 240.85/47.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.16 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e3, v1) = v2 &
% 240.85/47.16 op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 &
% 240.85/47.16 $i(v1))))
% 240.85/47.16
% 240.85/47.16 (ax15)
% 240.85/47.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.16 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e0, v1) = v2 &
% 240.85/47.16 op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 &
% 240.85/47.16 $i(v1))))
% 240.85/47.16
% 240.85/47.16 (ax16)
% 240.85/47.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.16 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e2, v1) = v2 &
% 240.85/47.16 op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 &
% 240.85/47.16 $i(v1))))
% 240.85/47.16
% 240.85/47.16 (ax17)
% 240.85/47.17 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.17 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e0, v1) = v2 &
% 240.85/47.17 op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 &
% 240.85/47.17 $i(v1))))
% 240.85/47.17
% 240.85/47.17 (ax18)
% 240.85/47.17 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.17 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e3, v1) = v2 &
% 240.85/47.17 op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 &
% 240.85/47.17 $i(v1))))
% 240.85/47.17
% 240.85/47.17 (ax19)
% 240.85/47.17 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.17 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e1, v1) = v2 &
% 240.85/47.17 op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 &
% 240.85/47.17 $i(v1))))
% 240.85/47.17
% 240.85/47.17 (ax2)
% 240.85/47.19 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.19 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 240.85/47.19 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 240.85/47.19 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 240.85/47.19 e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 240.85/47.19 e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 240.85/47.19 e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 240.85/47.19 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 240.85/47.19 op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 240.85/47.19 e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 240.85/47.19 | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 240.85/47.19 & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 240.85/47.19 e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 240.85/47.19 e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 240.85/47.19 = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 240.85/47.19 op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 240.85/47.19 e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 240.85/47.19 | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 240.85/47.19 & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 240.85/47.19 = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 240.85/47.19 (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 240.85/47.19 op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 240.85/47.19 = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 240.85/47.19 (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 240.85/47.19 op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 240.85/47.19 e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 240.85/47.19 e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 240.85/47.19 (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 240.85/47.19 op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 240.85/47.19 = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 240.85/47.19 (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 240.85/47.19 op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 240.85/47.19 e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 240.85/47.19 & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 240.85/47.19 op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 240.85/47.19 e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 240.85/47.19 | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 240.85/47.19 & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 240.85/47.19 = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 240.85/47.19 (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 240.85/47.19 op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 240.85/47.19 e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 240.85/47.19 = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 240.85/47.19 op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 240.85/47.19 = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 240.85/47.19 ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 240.85/47.19 op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 240.85/47.19 = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 240.85/47.19 = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 240.85/47.19 op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 240.85/47.19 e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 240.85/47.19 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 240.85/47.19 op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 240.85/47.19 e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 240.85/47.19 = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 240.85/47.19 op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 240.85/47.19 e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 240.85/47.19 e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 240.85/47.19 (v1 = e0 & op(e0, e1) = e0)))))
% 240.85/47.19
% 240.85/47.19 (ax20)
% 240.85/47.20 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.20 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e3, v1) = v2 &
% 240.85/47.20 op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 &
% 240.85/47.20 $i(v1))))
% 240.85/47.20
% 240.85/47.20 (ax21)
% 240.85/47.20 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.20 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e0, v1) = v2 &
% 240.85/47.20 op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 &
% 240.85/47.20 $i(v1))))
% 240.85/47.20
% 240.85/47.20 (ax22)
% 240.85/47.20 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.20 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e1, v1) = v2 &
% 240.85/47.20 op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 &
% 240.85/47.20 $i(v1))))
% 240.85/47.20
% 240.85/47.20 (ax23)
% 240.85/47.20 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.20 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e0, v1) = v2 &
% 240.85/47.20 op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 &
% 240.85/47.20 $i(v1))))
% 240.85/47.20
% 240.85/47.20 (ax24)
% 240.85/47.20 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.20 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e2, v1) = v2 &
% 240.85/47.20 op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 &
% 240.85/47.20 $i(v1))))
% 240.85/47.20
% 240.85/47.20 (ax25)
% 240.85/47.20 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.20 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e1, v1) = v2 &
% 240.85/47.20 op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 &
% 240.85/47.20 $i(v1))))
% 240.85/47.20
% 240.85/47.20 (ax26)
% 240.85/47.21 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.21 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e2, v1) = v2 &
% 240.85/47.21 op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 &
% 240.85/47.21 $i(v1))))
% 240.85/47.21
% 240.85/47.21 (ax27)
% 240.85/47.21 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.21 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e0, v1) = v2 &
% 240.85/47.21 op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 &
% 240.85/47.21 $i(v1))))
% 240.85/47.21
% 240.85/47.21 (ax28)
% 240.85/47.21 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.21 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e1, v1) = v2 &
% 240.85/47.21 op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 &
% 240.85/47.21 $i(v1))))
% 240.85/47.21
% 240.85/47.21 (ax29)
% 240.85/47.21 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.21 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e0, v1) = v2 &
% 240.85/47.21 op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 &
% 240.85/47.21 $i(v1))))
% 240.85/47.21
% 240.85/47.21 (ax3)
% 240.85/47.21 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 240.85/47.21 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 240.85/47.21 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 240.85/47.21 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 240.85/47.21 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 240.85/47.21 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 240.85/47.21 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 240.85/47.21 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 240.85/47.21 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 240.85/47.21 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 240.85/47.21 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 240.85/47.21 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 240.85/47.21 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 240.85/47.21 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 240.85/47.21 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 240.85/47.21 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 240.85/47.21 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 240.85/47.22 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 240.85/47.22 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 240.85/47.22 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 240.85/47.22
% 240.85/47.22 (ax4)
% 240.85/47.22 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 240.85/47.22 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 240.85/47.22
% 240.85/47.22 (ax5)
% 241.29/47.24 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 241.29/47.24 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 241.29/47.24 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 241.29/47.24 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 241.29/47.24 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23:
% 241.29/47.24 $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 241.29/47.24 $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (((v31 = v30 & op(v30,
% 241.29/47.24 e3) = v30 & op(e3, e3) = v30 & $i(v30)) | (v29 = v28 & op(v28, e2) =
% 241.29/47.24 v28 & op(e2, e3) = v28 & $i(v28)) | (v27 = v26 & op(v26, e1) = v26 &
% 241.29/47.24 op(e1, e3) = v26 & $i(v26)) | (v25 = v24 & op(v24, e0) = v24 & op(e0,
% 241.29/47.24 e3) = v24 & $i(v24))) & ((v28 = e2 & ~ (v30 = e3) & ~ (v22 = e2) &
% 241.29/47.24 ~ (v20 = e3) & ~ (v14 = e1) & ~ (v6 = e0) & op(e3, e3) = v30 & op(e3,
% 241.29/47.24 e2) = v22 & op(e3, e1) = v14 & op(e3, e0) = v6 & op(e2, e3) = e2 &
% 241.29/47.24 op(e2, e2) = v20 & $i(v30) & $i(v22) & $i(v20) & $i(v14) & $i(v6)) |
% 241.29/47.24 (v26 = e1 & ~ (v30 = e3) & ~ (v22 = e2) & ~ (v14 = e1) & ~ (v10 = e3)
% 241.29/47.24 & ~ (v6 = e0) & op(e3, e3) = v30 & op(e3, e2) = v22 & op(e3, e1) = v14
% 241.29/47.24 & op(e3, e0) = v6 & op(e1, e3) = e1 & op(e1, e1) = v10 & $i(v30) &
% 241.29/47.24 $i(v22) & $i(v14) & $i(v10) & $i(v6)) | (v22 = e3 & ~ (v30 = e2) & ~
% 241.29/47.24 (v28 = e3) & ~ (v20 = e2) & ~ (v12 = e1) & ~ (v4 = e0) & op(e3, e3) =
% 241.29/47.24 v30 & op(e3, e2) = e3 & op(e2, e3) = v28 & op(e2, e2) = v20 & op(e2, e1)
% 241.29/47.24 = v12 & op(e2, e0) = v4 & $i(v30) & $i(v28) & $i(v20) & $i(v12) &
% 241.29/47.24 $i(v4)) | (v18 = e1 & ~ (v28 = e3) & ~ (v20 = e2) & ~ (v12 = e1) & ~
% 241.29/47.24 (v10 = e2) & ~ (v4 = e0) & op(e2, e3) = v28 & op(e2, e2) = v20 & op(e2,
% 241.29/47.24 e1) = v12 & op(e2, e0) = v4 & op(e1, e2) = e1 & op(e1, e1) = v10 &
% 241.29/47.24 $i(v28) & $i(v20) & $i(v12) & $i(v10) & $i(v4)) | (v14 = e3 & ~ (v30 =
% 241.29/47.24 e1) & ~ (v26 = e3) & ~ (v18 = e2) & ~ (v10 = e1) & ~ (v2 = e0) &
% 241.29/47.24 op(e3, e3) = v30 & op(e3, e1) = e3 & op(e1, e3) = v26 & op(e1, e2) = v18
% 241.29/47.24 & op(e1, e1) = v10 & op(e1, e0) = v2 & $i(v30) & $i(v26) & $i(v18) &
% 241.29/47.24 $i(v10) & $i(v2)) | (v12 = e2 & ~ (v26 = e3) & ~ (v20 = e1) & ~ (v18
% 241.29/47.24 = e2) & ~ (v10 = e1) & ~ (v2 = e0) & op(e2, e2) = v20 & op(e2, e1) =
% 241.29/47.24 e2 & op(e1, e3) = v26 & op(e1, e2) = v18 & op(e1, e1) = v10 & op(e1, e0)
% 241.29/47.24 = v2 & $i(v26) & $i(v20) & $i(v18) & $i(v10) & $i(v2)) | (v6 = e3 & ~
% 241.29/47.24 (v30 = e0) & ~ (v24 = e3) & ~ (v16 = e2) & ~ (v8 = e1) & ~ (v0 = e0)
% 241.29/47.24 & op(e3, e3) = v30 & op(e3, e0) = e3 & op(e0, e3) = v24 & op(e0, e2) =
% 241.29/47.24 v16 & op(e0, e1) = v8 & op(e0, e0) = v0 & $i(v30) & $i(v24) & $i(v16) &
% 241.29/47.24 $i(v8) & $i(v0)) | (v4 = e2 & ~ (v24 = e3) & ~ (v20 = e0) & ~ (v16 =
% 241.29/47.24 e2) & ~ (v8 = e1) & ~ (v0 = e0) & op(e2, e2) = v20 & op(e2, e0) = e2
% 241.29/47.24 & op(e0, e3) = v24 & op(e0, e2) = v16 & op(e0, e1) = v8 & op(e0, e0) =
% 241.29/47.24 v0 & $i(v24) & $i(v20) & $i(v16) & $i(v8) & $i(v0)) | (op(e0, e0) = v0 &
% 241.29/47.24 $i(v0) & ((v24 = e0 & ~ (v30 = e3) & ~ (v22 = e2) & ~ (v14 = e1) & ~
% 241.29/47.24 (v6 = e0) & ~ (v0 = e3) & op(e3, e3) = v30 & op(e3, e2) = v22 &
% 241.29/47.24 op(e3, e1) = v14 & op(e3, e0) = v6 & op(e0, e3) = e0 & $i(v30) &
% 241.29/47.24 $i(v22) & $i(v14) & $i(v6)) | (v16 = e0 & ~ (v28 = e3) & ~ (v20 =
% 241.29/47.24 e2) & ~ (v12 = e1) & ~ (v4 = e0) & ~ (v0 = e2) & op(e2, e3) =
% 241.29/47.24 v28 & op(e2, e2) = v20 & op(e2, e1) = v12 & op(e2, e0) = v4 & op(e0,
% 241.29/47.24 e2) = e0 & $i(v28) & $i(v20) & $i(v12) & $i(v4)) | (v8 = e0 & ~
% 241.29/47.24 (v26 = e3) & ~ (v18 = e2) & ~ (v10 = e1) & ~ (v2 = e0) & ~ (v0 =
% 241.29/47.24 e1) & op(e1, e3) = v26 & op(e1, e2) = v18 & op(e1, e1) = v10 &
% 241.29/47.24 op(e1, e0) = v2 & op(e0, e1) = e0 & $i(v26) & $i(v18) & $i(v10) &
% 241.29/47.24 $i(v2)) | (v2 = e1 & ~ (v24 = e3) & ~ (v16 = e2) & ~ (v10 = e0) &
% 241.29/47.24 ~ (v8 = e1) & ~ (v0 = e0) & op(e1, e1) = v10 & op(e1, e0) = e1 &
% 241.29/47.24 op(e0, e3) = v24 & op(e0, e2) = v16 & op(e0, e1) = v8 & $i(v24) &
% 241.29/47.24 $i(v16) & $i(v10) & $i(v8))))) & ((v23 = v22 & op(v22, e3) = v22 &
% 241.29/47.24 op(e3, e2) = v22 & $i(v22)) | (v21 = v20 & op(v20, e2) = v20 & op(e2,
% 241.29/47.24 e2) = v20 & $i(v20)) | (v19 = v18 & op(v18, e1) = v18 & op(e1, e2) =
% 241.29/47.24 v18 & $i(v18)) | (v17 = v16 & op(v16, e0) = v16 & op(e0, e2) = v16 &
% 241.29/47.24 $i(v16))) & ((v15 = v14 & op(v14, e3) = v14 & op(e3, e1) = v14 &
% 241.29/47.24 $i(v14)) | (v13 = v12 & op(v12, e2) = v12 & op(e2, e1) = v12 & $i(v12))
% 241.29/47.24 | (v11 = v10 & op(v10, e1) = v10 & op(e1, e1) = v10 & $i(v10)) | (v9 = v8
% 241.29/47.24 & op(v8, e0) = v8 & op(e0, e1) = v8 & $i(v8))) & ((v7 = v6 & op(v6, e3)
% 241.29/47.24 = v6 & op(e3, e0) = v6 & $i(v6)) | (v5 = v4 & op(v4, e2) = v4 & op(e2,
% 241.29/47.24 e0) = v4 & $i(v4)) | (v3 = v2 & op(v2, e1) = v2 & op(e1, e0) = v2 &
% 241.29/47.24 $i(v2)) | (v1 = v0 & op(v0, e0) = v0 & op(e0, e0) = v0 & $i(v0))))
% 241.29/47.24
% 241.29/47.24 (ax6)
% 241.29/47.24 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 241.29/47.24 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e3, v1) = v2 &
% 241.29/47.24 op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 &
% 241.29/47.24 $i(v1))))
% 241.29/47.24
% 241.29/47.24 (ax7)
% 241.29/47.24 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 241.29/47.24 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e2, v1) = v2 &
% 241.29/47.24 op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 &
% 241.29/47.24 $i(v1))))
% 241.29/47.24
% 241.29/47.24 (ax8)
% 241.29/47.24 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 241.29/47.24 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e3, v1) = v2 &
% 241.29/47.24 op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 &
% 241.29/47.24 $i(v1))))
% 241.29/47.24
% 241.29/47.24 (ax9)
% 241.29/47.25 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 241.29/47.25 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e1, v1) = v2 &
% 241.29/47.25 op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 &
% 241.29/47.25 $i(v1))))
% 241.29/47.25
% 241.29/47.25 (function-axioms)
% 241.29/47.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 241.29/47.25 v2) = v1) | ~ (op(v3, v2) = v0))
% 241.29/47.25
% 241.29/47.25 Those formulas are unsatisfiable:
% 241.29/47.25 ---------------------------------
% 241.29/47.25
% 241.29/47.25 Begin of proof
% 241.29/47.25 |
% 241.29/47.25 | ALPHA: (ax1) implies:
% 241.29/47.25 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 241.29/47.25 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 241.29/47.25 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 241.29/47.25 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 241.29/47.25 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 241.29/47.25 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 241.29/47.26 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 241.29/47.26 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 241.29/47.26 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 241.29/47.26 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 241.29/47.26 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 241.29/47.26 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 241.29/47.26 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 241.29/47.26 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 241.29/47.26 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 241.29/47.26 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 241.29/47.26 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 241.29/47.26 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 241.29/47.26 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 241.29/47.26 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 241.29/47.26 | = e0))
% 241.29/47.26 |
% 241.29/47.26 | ALPHA: (ax2) implies:
% 241.29/47.27 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 241.29/47.27 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 241.29/47.27 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 241.29/47.27 | ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 241.29/47.27 | = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 241.29/47.27 | e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 241.29/47.27 | e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 241.29/47.27 | & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 241.29/47.27 | = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 241.29/47.27 | e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 241.29/47.27 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 241.29/47.27 | op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 241.29/47.27 | op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 241.29/47.27 | op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 241.29/47.27 | op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 241.29/47.27 | op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 241.29/47.27 | op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 241.29/47.27 | op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 241.29/47.27 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 241.29/47.27 | op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 241.29/47.27 | op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 241.29/47.27 | op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 241.29/47.27 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 241.29/47.27 | op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 241.29/47.27 | op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 241.29/47.27 | op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 241.29/47.27 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 241.29/47.27 | op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 241.29/47.27 | op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 241.29/47.27 | op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 241.29/47.27 | op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 241.29/47.27 | op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 241.29/47.27 | op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 241.29/47.27 | op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 241.29/47.27 | op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 241.29/47.27 | op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 241.29/47.27 | op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 241.29/47.27 | op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 241.29/47.27 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 241.29/47.27 | op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 241.29/47.27 | op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 241.29/47.27 | op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 241.29/47.27 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 241.29/47.27 | op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 241.29/47.27 | op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 241.29/47.27 | op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 241.29/47.27 | op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 241.29/47.27 | op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 241.29/47.27 | op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 241.29/47.27 | op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 241.29/47.27 | op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 241.29/47.27 | op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 241.29/47.27 | op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 241.29/47.27 | op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 241.29/47.27 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 241.29/47.27 | op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 241.29/47.27 | op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 241.29/47.27 | op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 241.29/47.27 | op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 241.29/47.27 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 241.29/47.27 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 241.29/47.27 | op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 241.29/47.27 | op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 241.29/47.27 | op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 241.29/47.27 | op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 241.29/47.27 | op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 241.29/47.27 | op(e0, e1) = e0)))))
% 241.29/47.27 |
% 241.29/47.27 | ALPHA: (ax3) implies:
% 241.29/47.27 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 241.29/47.27 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 241.29/47.27 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 241.29/47.27 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 241.29/47.27 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 241.29/47.27 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 241.29/47.27 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 241.29/47.27 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 241.29/47.27 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 241.29/47.27 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 241.29/47.27 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 241.29/47.27 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 241.29/47.27 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 241.29/47.27 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 241.29/47.27 | v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 241.29/47.27 | e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 241.29/47.27 | op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 241.29/47.27 | v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 241.29/47.27 | e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 241.29/47.27 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 241.29/47.27 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 241.29/47.27 |
% 241.29/47.27 | ALPHA: (ax4) implies:
% 241.29/47.28 | (4) ~ (e1 = e0)
% 241.29/47.28 | (5) ~ (e2 = e0)
% 241.29/47.28 | (6) ~ (e2 = e1)
% 241.29/47.28 | (7) ~ (e3 = e0)
% 241.29/47.28 | (8) ~ (e3 = e1)
% 241.29/47.28 | (9) ~ (e3 = e2)
% 241.29/47.28 |
% 241.29/47.28 | ALPHA: (ax5) implies:
% 241.62/47.29 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 241.62/47.29 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 241.62/47.29 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 241.62/47.29 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 241.62/47.29 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 241.62/47.29 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 241.62/47.29 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (((v31 = v30 &
% 241.62/47.29 | op(v30, e3) = v30 & op(e3, e3) = v30 & $i(v30)) | (v29 = v28 &
% 241.62/47.29 | op(v28, e2) = v28 & op(e2, e3) = v28 & $i(v28)) | (v27 = v26 &
% 241.62/47.29 | op(v26, e1) = v26 & op(e1, e3) = v26 & $i(v26)) | (v25 = v24 &
% 241.62/47.29 | op(v24, e0) = v24 & op(e0, e3) = v24 & $i(v24))) & ((v28 = e2 &
% 241.62/47.29 | ~ (v30 = e3) & ~ (v22 = e2) & ~ (v20 = e3) & ~ (v14 = e1) &
% 241.62/47.29 | ~ (v6 = e0) & op(e3, e3) = v30 & op(e3, e2) = v22 & op(e3, e1) =
% 241.62/47.29 | v14 & op(e3, e0) = v6 & op(e2, e3) = e2 & op(e2, e2) = v20 &
% 241.62/47.29 | $i(v30) & $i(v22) & $i(v20) & $i(v14) & $i(v6)) | (v26 = e1 & ~
% 241.62/47.29 | (v30 = e3) & ~ (v22 = e2) & ~ (v14 = e1) & ~ (v10 = e3) & ~
% 241.62/47.29 | (v6 = e0) & op(e3, e3) = v30 & op(e3, e2) = v22 & op(e3, e1) =
% 241.62/47.29 | v14 & op(e3, e0) = v6 & op(e1, e3) = e1 & op(e1, e1) = v10 &
% 241.62/47.29 | $i(v30) & $i(v22) & $i(v14) & $i(v10) & $i(v6)) | (v22 = e3 & ~
% 241.62/47.29 | (v30 = e2) & ~ (v28 = e3) & ~ (v20 = e2) & ~ (v12 = e1) & ~
% 241.62/47.29 | (v4 = e0) & op(e3, e3) = v30 & op(e3, e2) = e3 & op(e2, e3) =
% 241.62/47.29 | v28 & op(e2, e2) = v20 & op(e2, e1) = v12 & op(e2, e0) = v4 &
% 241.62/47.29 | $i(v30) & $i(v28) & $i(v20) & $i(v12) & $i(v4)) | (v18 = e1 & ~
% 241.62/47.29 | (v28 = e3) & ~ (v20 = e2) & ~ (v12 = e1) & ~ (v10 = e2) & ~
% 241.62/47.29 | (v4 = e0) & op(e2, e3) = v28 & op(e2, e2) = v20 & op(e2, e1) =
% 241.62/47.29 | v12 & op(e2, e0) = v4 & op(e1, e2) = e1 & op(e1, e1) = v10 &
% 241.62/47.29 | $i(v28) & $i(v20) & $i(v12) & $i(v10) & $i(v4)) | (v14 = e3 & ~
% 241.62/47.29 | (v30 = e1) & ~ (v26 = e3) & ~ (v18 = e2) & ~ (v10 = e1) & ~
% 241.62/47.29 | (v2 = e0) & op(e3, e3) = v30 & op(e3, e1) = e3 & op(e1, e3) =
% 241.62/47.29 | v26 & op(e1, e2) = v18 & op(e1, e1) = v10 & op(e1, e0) = v2 &
% 241.62/47.29 | $i(v30) & $i(v26) & $i(v18) & $i(v10) & $i(v2)) | (v12 = e2 & ~
% 241.62/47.29 | (v26 = e3) & ~ (v20 = e1) & ~ (v18 = e2) & ~ (v10 = e1) & ~
% 241.62/47.29 | (v2 = e0) & op(e2, e2) = v20 & op(e2, e1) = e2 & op(e1, e3) =
% 241.62/47.29 | v26 & op(e1, e2) = v18 & op(e1, e1) = v10 & op(e1, e0) = v2 &
% 241.62/47.29 | $i(v26) & $i(v20) & $i(v18) & $i(v10) & $i(v2)) | (v6 = e3 & ~
% 241.62/47.29 | (v30 = e0) & ~ (v24 = e3) & ~ (v16 = e2) & ~ (v8 = e1) & ~
% 241.62/47.29 | (v0 = e0) & op(e3, e3) = v30 & op(e3, e0) = e3 & op(e0, e3) =
% 241.62/47.29 | v24 & op(e0, e2) = v16 & op(e0, e1) = v8 & op(e0, e0) = v0 &
% 241.62/47.29 | $i(v30) & $i(v24) & $i(v16) & $i(v8) & $i(v0)) | (v4 = e2 & ~
% 241.62/47.29 | (v24 = e3) & ~ (v20 = e0) & ~ (v16 = e2) & ~ (v8 = e1) & ~
% 241.62/47.29 | (v0 = e0) & op(e2, e2) = v20 & op(e2, e0) = e2 & op(e0, e3) =
% 241.62/47.29 | v24 & op(e0, e2) = v16 & op(e0, e1) = v8 & op(e0, e0) = v0 &
% 241.62/47.29 | $i(v24) & $i(v20) & $i(v16) & $i(v8) & $i(v0)) | (op(e0, e0) =
% 241.62/47.29 | v0 & $i(v0) & ((v24 = e0 & ~ (v30 = e3) & ~ (v22 = e2) & ~
% 241.62/47.29 | (v14 = e1) & ~ (v6 = e0) & ~ (v0 = e3) & op(e3, e3) = v30
% 241.62/47.29 | & op(e3, e2) = v22 & op(e3, e1) = v14 & op(e3, e0) = v6 &
% 241.62/47.29 | op(e0, e3) = e0 & $i(v30) & $i(v22) & $i(v14) & $i(v6)) |
% 241.62/47.29 | (v16 = e0 & ~ (v28 = e3) & ~ (v20 = e2) & ~ (v12 = e1) & ~
% 241.62/47.29 | (v4 = e0) & ~ (v0 = e2) & op(e2, e3) = v28 & op(e2, e2) =
% 241.62/47.29 | v20 & op(e2, e1) = v12 & op(e2, e0) = v4 & op(e0, e2) = e0 &
% 241.62/47.29 | $i(v28) & $i(v20) & $i(v12) & $i(v4)) | (v8 = e0 & ~ (v26 =
% 241.62/47.29 | e3) & ~ (v18 = e2) & ~ (v10 = e1) & ~ (v2 = e0) & ~
% 241.62/47.29 | (v0 = e1) & op(e1, e3) = v26 & op(e1, e2) = v18 & op(e1, e1)
% 241.62/47.29 | = v10 & op(e1, e0) = v2 & op(e0, e1) = e0 & $i(v26) &
% 241.62/47.29 | $i(v18) & $i(v10) & $i(v2)) | (v2 = e1 & ~ (v24 = e3) & ~
% 241.62/47.29 | (v16 = e2) & ~ (v10 = e0) & ~ (v8 = e1) & ~ (v0 = e0) &
% 241.62/47.29 | op(e1, e1) = v10 & op(e1, e0) = e1 & op(e0, e3) = v24 &
% 241.62/47.29 | op(e0, e2) = v16 & op(e0, e1) = v8 & $i(v24) & $i(v16) &
% 241.62/47.29 | $i(v10) & $i(v8))))) & ((v23 = v22 & op(v22, e3) = v22 &
% 241.62/47.29 | op(e3, e2) = v22 & $i(v22)) | (v21 = v20 & op(v20, e2) = v20 &
% 241.62/47.29 | op(e2, e2) = v20 & $i(v20)) | (v19 = v18 & op(v18, e1) = v18 &
% 241.62/47.29 | op(e1, e2) = v18 & $i(v18)) | (v17 = v16 & op(v16, e0) = v16 &
% 241.62/47.29 | op(e0, e2) = v16 & $i(v16))) & ((v15 = v14 & op(v14, e3) = v14 &
% 241.62/47.29 | op(e3, e1) = v14 & $i(v14)) | (v13 = v12 & op(v12, e2) = v12 &
% 241.62/47.29 | op(e2, e1) = v12 & $i(v12)) | (v11 = v10 & op(v10, e1) = v10 &
% 241.62/47.29 | op(e1, e1) = v10 & $i(v10)) | (v9 = v8 & op(v8, e0) = v8 &
% 241.62/47.29 | op(e0, e1) = v8 & $i(v8))) & ((v7 = v6 & op(v6, e3) = v6 &
% 241.62/47.29 | op(e3, e0) = v6 & $i(v6)) | (v5 = v4 & op(v4, e2) = v4 & op(e2,
% 241.62/47.29 | e0) = v4 & $i(v4)) | (v3 = v2 & op(v2, e1) = v2 & op(e1, e0) =
% 241.62/47.29 | v2 & $i(v2)) | (v1 = v0 & op(v0, e0) = v0 & op(e0, e0) = v0 &
% 241.62/47.29 | $i(v0))))
% 241.62/47.29 |
% 241.62/47.29 | ALPHA: (ax6) implies:
% 241.62/47.29 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 241.62/47.29 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e3, v1) = v2 & op(e3, e1) = v1 &
% 241.62/47.29 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 & $i(v1))))
% 241.62/47.29 |
% 241.62/47.29 | ALPHA: (ax7) implies:
% 241.62/47.29 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 241.62/47.29 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e2, v1) = v2 & op(e2, e1) = v1 &
% 241.62/47.29 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 & $i(v1))))
% 241.62/47.29 |
% 241.62/47.29 | ALPHA: (ax8) implies:
% 241.62/47.29 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 241.62/47.29 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e3, v1) = v2 & op(e3, e2) = v1 &
% 241.62/47.29 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 & $i(v1))))
% 241.62/47.29 |
% 241.62/47.29 | ALPHA: (ax9) implies:
% 241.62/47.29 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 241.62/47.29 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e1, v1) = v2 & op(e1, e2) = v1 &
% 241.62/47.29 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 & $i(v1))))
% 241.62/47.29 |
% 241.62/47.29 | ALPHA: (ax10) implies:
% 241.62/47.29 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 241.62/47.29 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e2, v1) = v2 & op(e2, e3) = v1 &
% 241.62/47.29 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 & $i(v1))))
% 241.62/47.29 |
% 241.62/47.29 | ALPHA: (ax11) implies:
% 241.62/47.30 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e1, v1) = v2 & op(e1, e3) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax12) implies:
% 241.62/47.30 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e3, v1) = v2 & op(e3, e0) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax13) implies:
% 241.62/47.30 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e2, v1) = v2 & op(e2, e0) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax14) implies:
% 241.62/47.30 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e3, v1) = v2 & op(e3, e2) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax15) implies:
% 241.62/47.30 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e0, v1) = v2 & op(e0, e2) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax16) implies:
% 241.62/47.30 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e2, v1) = v2 & op(e2, e3) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax17) implies:
% 241.62/47.30 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e0, v1) = v2 & op(e0, e3) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax18) implies:
% 241.62/47.30 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e3, v1) = v2 & op(e3, e0) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax19) implies:
% 241.62/47.30 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e1, v1) = v2 & op(e1, e0) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax20) implies:
% 241.62/47.30 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e3, v1) = v2 & op(e3, e1) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax21) implies:
% 241.62/47.30 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e0, v1) = v2 & op(e0, e1) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax22) implies:
% 241.62/47.30 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 241.62/47.30 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e1, v1) = v2 & op(e1, e3) = v1 &
% 241.62/47.30 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 & $i(v1))))
% 241.62/47.30 |
% 241.62/47.30 | ALPHA: (ax23) implies:
% 241.62/47.31 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 241.62/47.31 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e0, v1) = v2 & op(e0, e3) = v1 &
% 241.62/47.31 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 & $i(v1))))
% 241.62/47.31 |
% 241.62/47.31 | ALPHA: (ax24) implies:
% 241.62/47.31 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 241.62/47.31 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e2, v1) = v2 & op(e2, e0) = v1 &
% 241.62/47.31 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 & $i(v1))))
% 241.62/47.31 |
% 241.62/47.31 | ALPHA: (ax25) implies:
% 241.62/47.31 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 241.62/47.31 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e1, v1) = v2 & op(e1, e0) = v1 &
% 241.62/47.31 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 & $i(v1))))
% 241.62/47.31 |
% 241.62/47.31 | ALPHA: (ax26) implies:
% 241.62/47.31 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 241.62/47.31 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e2, v1) = v2 & op(e2, e1) = v1 &
% 241.62/47.31 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 & $i(v1))))
% 241.62/47.31 |
% 241.62/47.31 | ALPHA: (ax27) implies:
% 241.62/47.31 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 241.62/47.31 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e0, v1) = v2 & op(e0, e1) = v1 &
% 241.62/47.31 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 & $i(v1))))
% 241.62/47.31 |
% 241.62/47.31 | ALPHA: (ax28) implies:
% 241.62/47.31 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 241.62/47.31 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e1, v1) = v2 & op(e1, e2) = v1 &
% 241.62/47.31 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 & $i(v1))))
% 241.62/47.31 |
% 241.62/47.31 | ALPHA: (ax29) implies:
% 241.62/47.31 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 241.62/47.31 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e0, v1) = v2 & op(e0, e2) = v1 &
% 241.62/47.31 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 & $i(v1))))
% 241.62/47.31 |
% 241.62/47.31 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 241.62/47.31 | (35) op(e0, e0) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e2) | ( ~ (all_4_0
% 241.62/47.31 | = e1) & op(e0, all_4_1) = all_4_0 & op(e0, e2) = all_4_1 &
% 241.62/47.31 | $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e3) & op(e0, e2) =
% 241.62/47.31 | all_4_1 & $i(all_4_1)))
% 241.62/47.31 |
% 241.62/47.31 | ALPHA: (35) implies:
% 241.62/47.31 | (36) op(e0, e0) = all_4_2
% 241.62/47.31 | (37) ~ (all_4_2 = e2) | ( ~ (all_4_0 = e1) & op(e0, all_4_1) = all_4_0 &
% 241.62/47.31 | op(e0, e2) = all_4_1 & $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 =
% 241.62/47.31 | e3) & op(e0, e2) = all_4_1 & $i(all_4_1))
% 241.62/47.31 |
% 241.62/47.31 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 241.62/47.31 | (38) op(e1, e1) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e3) | ( ~ (all_6_0
% 241.62/47.31 | = e2) & op(e1, all_6_1) = all_6_0 & op(e1, e3) = all_6_1 &
% 241.62/47.31 | $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e0) & op(e1, e3) =
% 241.62/47.31 | all_6_1 & $i(all_6_1)))
% 241.62/47.31 |
% 241.62/47.31 | ALPHA: (38) implies:
% 241.62/47.31 | (39) op(e1, e1) = all_6_2
% 241.62/47.31 | (40) ~ (all_6_2 = e3) | ( ~ (all_6_0 = e2) & op(e1, all_6_1) = all_6_0 &
% 241.62/47.31 | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 =
% 241.62/47.31 | e0) & op(e1, e3) = all_6_1 & $i(all_6_1))
% 241.62/47.31 |
% 241.62/47.31 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 241.62/47.31 | (41) op(e2, e2) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e3) | ( ~ (all_8_0
% 241.62/47.31 | = e1) & op(e2, all_8_1) = all_8_0 & op(e2, e3) = all_8_1 &
% 241.62/47.31 | $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e0) & op(e2, e3) =
% 241.62/47.31 | all_8_1 & $i(all_8_1)))
% 241.62/47.31 |
% 241.62/47.31 | ALPHA: (41) implies:
% 241.62/47.31 | (42) op(e2, e2) = all_8_2
% 241.62/47.31 | (43) ~ (all_8_2 = e3) | ( ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 241.62/47.31 | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 =
% 241.62/47.31 | e0) & op(e2, e3) = all_8_1 & $i(all_8_1))
% 241.62/47.31 |
% 241.62/47.31 | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 241.62/47.31 | gives:
% 241.62/47.32 | (44) op(e3, e3) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e1) | ( ~
% 241.62/47.32 | (all_10_0 = e0) & op(e3, all_10_1) = all_10_0 & op(e3, e1) =
% 241.62/47.32 | all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~ (all_10_1 = e2) &
% 241.62/47.32 | op(e3, e1) = all_10_1 & $i(all_10_1)))
% 241.62/47.32 |
% 241.62/47.32 | ALPHA: (44) implies:
% 241.62/47.32 | (45) op(e3, e3) = all_10_2
% 241.62/47.32 | (46) ~ (all_10_2 = e1) | ( ~ (all_10_0 = e0) & op(e3, all_10_1) = all_10_0
% 241.62/47.32 | & op(e3, e1) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~
% 241.62/47.32 | (all_10_1 = e2) & op(e3, e1) = all_10_1 & $i(all_10_1))
% 241.62/47.32 |
% 241.62/47.32 | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 241.62/47.32 | gives:
% 241.62/47.32 | (47) op(e0, e0) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e3) | ( ~
% 241.62/47.32 | (all_12_0 = e1) & op(e0, all_12_1) = all_12_0 & op(e0, e3) =
% 241.62/47.32 | all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e2) &
% 241.62/47.32 | op(e0, e3) = all_12_1 & $i(all_12_1)))
% 241.62/47.32 |
% 241.62/47.32 | ALPHA: (47) implies:
% 241.62/47.32 | (48) op(e0, e0) = all_12_2
% 241.62/47.32 | (49) ~ (all_12_2 = e3) | ( ~ (all_12_0 = e1) & op(e0, all_12_1) = all_12_0
% 241.62/47.32 | & op(e0, e3) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 241.62/47.32 | (all_12_1 = e2) & op(e0, e3) = all_12_1 & $i(all_12_1))
% 241.62/47.32 |
% 241.62/47.32 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 241.62/47.32 | gives:
% 241.62/47.32 | (50) op(e2, e2) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e0) | ( ~
% 241.62/47.32 | (all_14_0 = e3) & op(e2, all_14_1) = all_14_0 & op(e2, e0) =
% 241.62/47.32 | all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e1) &
% 241.62/47.32 | op(e2, e0) = all_14_1 & $i(all_14_1)))
% 241.62/47.32 |
% 241.62/47.32 | ALPHA: (50) implies:
% 241.62/47.32 | (51) op(e2, e2) = all_14_2
% 241.62/47.32 | (52) ~ (all_14_2 = e0) | ( ~ (all_14_0 = e3) & op(e2, all_14_1) = all_14_0
% 241.62/47.32 | & op(e2, e0) = all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~
% 241.62/47.32 | (all_14_1 = e1) & op(e2, e0) = all_14_1 & $i(all_14_1))
% 241.62/47.32 |
% 241.62/47.32 | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 241.62/47.32 | gives:
% 241.62/47.32 | (53) op(e3, e3) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e0) | ( ~
% 241.62/47.32 | (all_16_0 = e2) & op(e3, all_16_1) = all_16_0 & op(e3, e0) =
% 241.62/47.32 | all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e1) &
% 241.62/47.32 | op(e3, e0) = all_16_1 & $i(all_16_1)))
% 241.62/47.32 |
% 241.62/47.32 | ALPHA: (53) implies:
% 241.62/47.32 | (54) op(e3, e3) = all_16_2
% 241.62/47.32 | (55) ~ (all_16_2 = e0) | ( ~ (all_16_0 = e2) & op(e3, all_16_1) = all_16_0
% 241.62/47.32 | & op(e3, e0) = all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~
% 241.62/47.32 | (all_16_1 = e1) & op(e3, e0) = all_16_1 & $i(all_16_1))
% 241.62/47.32 |
% 241.62/47.32 | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 241.62/47.32 | gives:
% 241.62/47.32 | (56) op(e1, e1) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e0) | ( ~
% 241.62/47.32 | (all_18_0 = e2) & op(e1, all_18_1) = all_18_0 & op(e1, e0) =
% 241.62/47.32 | all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e3) &
% 241.62/47.32 | op(e1, e0) = all_18_1 & $i(all_18_1)))
% 241.62/47.32 |
% 241.62/47.32 | ALPHA: (56) implies:
% 241.62/47.32 | (57) op(e1, e1) = all_18_2
% 241.62/47.32 | (58) ~ (all_18_2 = e0) | ( ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0
% 241.62/47.32 | & op(e1, e0) = all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~
% 241.62/47.32 | (all_18_1 = e3) & op(e1, e0) = all_18_1 & $i(all_18_1))
% 241.62/47.32 |
% 241.62/47.32 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 241.62/47.32 | gives:
% 241.62/47.32 | (59) op(e0, e0) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e1) | ( ~
% 241.62/47.32 | (all_20_0 = e2) & op(e0, all_20_1) = all_20_0 & op(e0, e1) =
% 241.62/47.32 | all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e3) &
% 241.62/47.32 | op(e0, e1) = all_20_1 & $i(all_20_1)))
% 241.62/47.32 |
% 241.62/47.32 | ALPHA: (59) implies:
% 241.62/47.32 | (60) op(e0, e0) = all_20_2
% 241.62/47.32 | (61) ~ (all_20_2 = e1) | ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0
% 241.62/47.32 | & op(e0, e1) = all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~
% 241.62/47.32 | (all_20_1 = e3) & op(e0, e1) = all_20_1 & $i(all_20_1))
% 241.62/47.32 |
% 241.62/47.32 | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 241.62/47.32 | gives:
% 241.62/47.32 | (62) op(e2, e2) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e1) | ( ~
% 241.62/47.32 | (all_22_0 = e3) & op(e2, all_22_1) = all_22_0 & op(e2, e1) =
% 241.62/47.32 | all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~ (all_22_1 = e0) &
% 241.62/47.32 | op(e2, e1) = all_22_1 & $i(all_22_1)))
% 241.62/47.32 |
% 241.62/47.32 | ALPHA: (62) implies:
% 241.62/47.32 | (63) op(e2, e2) = all_22_2
% 241.62/47.32 | (64) ~ (all_22_2 = e1) | ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 241.62/47.32 | & op(e2, e1) = all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~
% 241.62/47.32 | (all_22_1 = e0) & op(e2, e1) = all_22_1 & $i(all_22_1))
% 241.62/47.32 |
% 241.62/47.32 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 241.62/47.32 | gives:
% 241.62/47.32 | (65) op(e3, e3) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e2) | ( ~
% 241.62/47.32 | (all_24_0 = e0) & op(e3, all_24_1) = all_24_0 & op(e3, e2) =
% 241.62/47.32 | all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e1) &
% 241.62/47.32 | op(e3, e2) = all_24_1 & $i(all_24_1)))
% 241.62/47.32 |
% 241.62/47.32 | ALPHA: (65) implies:
% 241.62/47.32 | (66) op(e3, e3) = all_24_2
% 241.62/47.32 | (67) ~ (all_24_2 = e2) | ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 241.62/47.32 | & op(e3, e2) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~
% 241.62/47.32 | (all_24_1 = e1) & op(e3, e2) = all_24_1 & $i(all_24_1))
% 241.62/47.32 |
% 241.62/47.32 | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 241.62/47.32 | gives:
% 241.62/47.32 | (68) op(e0, e0) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e3) | ( ~
% 241.62/47.32 | (all_26_0 = e2) & op(e0, all_26_1) = all_26_0 & op(e0, e3) =
% 241.62/47.32 | all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~ (all_26_1 = e1) &
% 241.62/47.32 | op(e0, e3) = all_26_1 & $i(all_26_1)))
% 241.62/47.32 |
% 241.62/47.32 | ALPHA: (68) implies:
% 241.62/47.33 | (69) op(e0, e0) = all_26_2
% 241.62/47.33 | (70) ~ (all_26_2 = e3) | ( ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0
% 241.62/47.33 | & op(e0, e3) = all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~
% 241.62/47.33 | (all_26_1 = e1) & op(e0, e3) = all_26_1 & $i(all_26_1))
% 241.62/47.33 |
% 241.62/47.33 | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 241.62/47.33 | gives:
% 241.62/47.33 | (71) op(e1, e1) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e0) | ( ~
% 241.62/47.33 | (all_28_0 = e3) & op(e1, all_28_1) = all_28_0 & op(e1, e0) =
% 241.62/47.33 | all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 = e2) &
% 241.62/47.33 | op(e1, e0) = all_28_1 & $i(all_28_1)))
% 241.62/47.33 |
% 241.62/47.33 | ALPHA: (71) implies:
% 241.62/47.33 | (72) op(e1, e1) = all_28_2
% 241.62/47.33 | (73) ~ (all_28_2 = e0) | ( ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0
% 241.62/47.33 | & op(e1, e0) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~
% 241.62/47.33 | (all_28_1 = e2) & op(e1, e0) = all_28_1 & $i(all_28_1))
% 241.62/47.33 |
% 241.62/47.33 | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 241.62/47.33 | gives:
% 241.62/47.33 | (74) op(e2, e2) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e1) | ( ~
% 241.62/47.33 | (all_30_0 = e0) & op(e2, all_30_1) = all_30_0 & op(e2, e1) =
% 241.62/47.33 | all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 = e3) &
% 241.62/47.33 | op(e2, e1) = all_30_1 & $i(all_30_1)))
% 241.62/47.33 |
% 241.62/47.33 | ALPHA: (74) implies:
% 241.62/47.33 | (75) op(e2, e2) = all_30_2
% 241.62/47.33 | (76) ~ (all_30_2 = e1) | ( ~ (all_30_0 = e0) & op(e2, all_30_1) = all_30_0
% 241.62/47.33 | & op(e2, e1) = all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~
% 241.62/47.33 | (all_30_1 = e3) & op(e2, e1) = all_30_1 & $i(all_30_1))
% 241.62/47.33 |
% 241.62/47.33 | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 241.62/47.33 | gives:
% 241.62/47.33 | (77) op(e3, e3) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e2) | ( ~
% 241.62/47.33 | (all_32_0 = e1) & op(e3, all_32_1) = all_32_0 & op(e3, e2) =
% 241.62/47.33 | all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 = e0) &
% 241.62/47.33 | op(e3, e2) = all_32_1 & $i(all_32_1)))
% 241.62/47.33 |
% 241.62/47.33 | ALPHA: (77) implies:
% 241.62/47.33 | (78) op(e3, e3) = all_32_2
% 241.62/47.33 | (79) ~ (all_32_2 = e2) | ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 241.62/47.33 | & op(e3, e2) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~
% 241.62/47.33 | (all_32_1 = e0) & op(e3, e2) = all_32_1 & $i(all_32_1))
% 241.62/47.33 |
% 241.62/47.33 | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 241.62/47.33 | gives:
% 241.62/47.33 | (80) op(e0, e0) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e1) | ( ~
% 241.62/47.33 | (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 & op(e0, e1) =
% 241.62/47.33 | all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~ (all_34_1 = e2) &
% 241.62/47.33 | op(e0, e1) = all_34_1 & $i(all_34_1)))
% 241.62/47.33 |
% 241.62/47.33 | ALPHA: (80) implies:
% 241.62/47.33 | (81) op(e0, e0) = all_34_2
% 241.62/47.33 | (82) ~ (all_34_2 = e1) | ( ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0
% 241.62/47.33 | & op(e0, e1) = all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~
% 241.62/47.33 | (all_34_1 = e2) & op(e0, e1) = all_34_1 & $i(all_34_1))
% 241.62/47.33 |
% 241.62/47.33 | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 241.62/47.33 | gives:
% 241.62/47.33 | (83) op(e1, e1) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e2) | ( ~
% 241.62/47.33 | (all_36_0 = e3) & op(e1, all_36_1) = all_36_0 & op(e1, e2) =
% 241.62/47.33 | all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e0) &
% 241.62/47.33 | op(e1, e2) = all_36_1 & $i(all_36_1)))
% 241.62/47.33 |
% 241.62/47.33 | ALPHA: (83) implies:
% 241.62/47.33 | (84) op(e1, e1) = all_36_2
% 241.62/47.33 | (85) ~ (all_36_2 = e2) | ( ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0
% 241.62/47.33 | & op(e1, e2) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~
% 241.62/47.33 | (all_36_1 = e0) & op(e1, e2) = all_36_1 & $i(all_36_1))
% 241.62/47.33 |
% 241.62/47.33 | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 241.62/47.33 | gives:
% 241.62/47.33 | (86) op(e3, e3) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e1) | ( ~
% 241.62/47.33 | (all_38_0 = e2) & op(e3, all_38_1) = all_38_0 & op(e3, e1) =
% 241.62/47.33 | all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~ (all_38_1 = e0) &
% 241.62/47.33 | op(e3, e1) = all_38_1 & $i(all_38_1)))
% 241.62/47.33 |
% 241.62/47.33 | ALPHA: (86) implies:
% 241.62/47.33 | (87) op(e3, e3) = all_38_2
% 241.62/47.33 | (88) ~ (all_38_2 = e1) | ( ~ (all_38_0 = e2) & op(e3, all_38_1) = all_38_0
% 241.62/47.33 | & op(e3, e1) = all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~
% 241.62/47.33 | (all_38_1 = e0) & op(e3, e1) = all_38_1 & $i(all_38_1))
% 241.62/47.33 |
% 241.62/47.33 | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 241.62/47.33 | gives:
% 241.62/47.33 | (89) op(e1, e1) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e2) | ( ~
% 241.62/47.33 | (all_40_0 = e0) & op(e1, all_40_1) = all_40_0 & op(e1, e2) =
% 241.62/47.33 | all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 = e3) &
% 241.62/47.33 | op(e1, e2) = all_40_1 & $i(all_40_1)))
% 241.62/47.33 |
% 241.62/47.33 | ALPHA: (89) implies:
% 241.62/47.33 | (90) op(e1, e1) = all_40_2
% 241.62/47.33 | (91) ~ (all_40_2 = e2) | ( ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0
% 241.62/47.33 | & op(e1, e2) = all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~
% 241.62/47.33 | (all_40_1 = e3) & op(e1, e2) = all_40_1 & $i(all_40_1))
% 241.62/47.33 |
% 241.62/47.33 | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 241.62/47.33 | gives:
% 241.62/47.33 | (92) op(e2, e2) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e3) | ( ~
% 241.62/47.33 | (all_42_0 = e0) & op(e2, all_42_1) = all_42_0 & op(e2, e3) =
% 241.62/47.33 | all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 = e1) &
% 241.62/47.33 | op(e2, e3) = all_42_1 & $i(all_42_1)))
% 241.62/47.33 |
% 241.62/47.33 | ALPHA: (92) implies:
% 241.62/47.33 | (93) op(e2, e2) = all_42_2
% 241.62/47.33 | (94) ~ (all_42_2 = e3) | ( ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0
% 241.62/47.33 | & op(e2, e3) = all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~
% 241.62/47.33 | (all_42_1 = e1) & op(e2, e3) = all_42_1 & $i(all_42_1))
% 241.62/47.33 |
% 241.62/47.33 | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 241.62/47.33 | gives:
% 241.62/47.33 | (95) op(e0, e0) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e2) | ( ~
% 241.62/47.33 | (all_44_0 = e3) & op(e0, all_44_1) = all_44_0 & op(e0, e2) =
% 241.62/47.33 | all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 = e1) &
% 241.62/47.33 | op(e0, e2) = all_44_1 & $i(all_44_1)))
% 241.62/47.33 |
% 241.62/47.34 | ALPHA: (95) implies:
% 241.62/47.34 | (96) op(e0, e0) = all_44_2
% 241.62/47.34 | (97) ~ (all_44_2 = e2) | ( ~ (all_44_0 = e3) & op(e0, all_44_1) = all_44_0
% 241.62/47.34 | & op(e0, e2) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~
% 241.62/47.34 | (all_44_1 = e1) & op(e0, e2) = all_44_1 & $i(all_44_1))
% 241.62/47.34 |
% 241.62/47.34 | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 241.62/47.34 | gives:
% 241.62/47.34 | (98) op(e1, e1) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e3) | ( ~
% 241.62/47.34 | (all_46_0 = e0) & op(e1, all_46_1) = all_46_0 & op(e1, e3) =
% 241.62/47.34 | all_46_1 & $i(all_46_0) & $i(all_46_1)) | ( ~ (all_46_1 = e2) &
% 241.62/47.34 | op(e1, e3) = all_46_1 & $i(all_46_1)))
% 241.62/47.34 |
% 241.62/47.34 | ALPHA: (98) implies:
% 241.62/47.34 | (99) op(e1, e1) = all_46_2
% 241.62/47.34 | (100) ~ (all_46_2 = e3) | ( ~ (all_46_0 = e0) & op(e1, all_46_1) =
% 241.62/47.34 | all_46_0 & op(e1, e3) = all_46_1 & $i(all_46_0) & $i(all_46_1)) | (
% 241.62/47.34 | ~ (all_46_1 = e2) & op(e1, e3) = all_46_1 & $i(all_46_1))
% 241.62/47.34 |
% 241.62/47.34 | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 241.62/47.34 | gives:
% 241.62/47.34 | (101) op(e2, e2) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e0) | ( ~
% 241.62/47.34 | (all_48_0 = e1) & op(e2, all_48_1) = all_48_0 & op(e2, e0) =
% 241.62/47.34 | all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 = e3) &
% 241.62/47.34 | op(e2, e0) = all_48_1 & $i(all_48_1)))
% 241.62/47.34 |
% 241.62/47.34 | ALPHA: (101) implies:
% 241.62/47.34 | (102) op(e2, e2) = all_48_2
% 241.62/47.34 | (103) ~ (all_48_2 = e0) | ( ~ (all_48_0 = e1) & op(e2, all_48_1) =
% 241.62/47.34 | all_48_0 & op(e2, e0) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | (
% 241.62/47.34 | ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 & $i(all_48_1))
% 241.62/47.34 |
% 241.62/47.34 | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 241.62/47.34 | gives:
% 241.62/47.34 | (104) op(e3, e3) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e0) | ( ~
% 241.62/47.34 | (all_50_0 = e1) & op(e3, all_50_1) = all_50_0 & op(e3, e0) =
% 241.62/47.34 | all_50_1 & $i(all_50_0) & $i(all_50_1)) | ( ~ (all_50_1 = e2) &
% 241.62/47.34 | op(e3, e0) = all_50_1 & $i(all_50_1)))
% 241.62/47.34 |
% 241.62/47.34 | ALPHA: (104) implies:
% 241.62/47.34 | (105) op(e3, e3) = all_50_2
% 241.62/47.34 | (106) ~ (all_50_2 = e0) | ( ~ (all_50_0 = e1) & op(e3, all_50_1) =
% 241.62/47.34 | all_50_0 & op(e3, e0) = all_50_1 & $i(all_50_0) & $i(all_50_1)) | (
% 241.62/47.34 | ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 & $i(all_50_1))
% 241.62/47.34 |
% 241.62/47.34 | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 241.62/47.34 | all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 241.62/47.34 | all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 241.62/47.34 | (107) ~ (all_52_0 = all_52_1) & ~ (all_52_0 = all_52_2) & ~ (all_52_0 =
% 241.62/47.34 | all_52_3) & ~ (all_52_0 = all_52_4) & ~ (all_52_0 = all_52_8) &
% 241.62/47.34 | ~ (all_52_0 = all_52_12) & ~ (all_52_1 = all_52_2) & ~ (all_52_1 =
% 241.62/47.34 | all_52_3) & ~ (all_52_1 = all_52_5) & ~ (all_52_1 = all_52_9) &
% 241.62/47.34 | ~ (all_52_1 = all_52_13) & ~ (all_52_2 = all_52_3) & ~ (all_52_2 =
% 241.62/47.34 | all_52_6) & ~ (all_52_2 = all_52_10) & ~ (all_52_2 = all_52_14) &
% 241.62/47.34 | ~ (all_52_3 = all_52_7) & ~ (all_52_3 = all_52_11) & ~ (all_52_3 =
% 241.62/47.34 | all_52_15) & ~ (all_52_4 = all_52_5) & ~ (all_52_4 = all_52_6) &
% 241.62/47.34 | ~ (all_52_4 = all_52_7) & ~ (all_52_4 = all_52_8) & ~ (all_52_4 =
% 241.62/47.34 | all_52_12) & ~ (all_52_5 = all_52_6) & ~ (all_52_5 = all_52_7) &
% 241.62/47.34 | ~ (all_52_5 = all_52_9) & ~ (all_52_5 = all_52_13) & ~ (all_52_6 =
% 241.62/47.34 | all_52_7) & ~ (all_52_6 = all_52_10) & ~ (all_52_6 = all_52_14) &
% 241.62/47.34 | ~ (all_52_7 = all_52_11) & ~ (all_52_7 = all_52_15) & ~ (all_52_8
% 241.62/47.34 | = all_52_9) & ~ (all_52_8 = all_52_10) & ~ (all_52_8 = all_52_11)
% 241.62/47.34 | & ~ (all_52_8 = all_52_12) & ~ (all_52_9 = all_52_10) & ~
% 241.62/47.34 | (all_52_9 = all_52_11) & ~ (all_52_9 = all_52_13) & ~ (all_52_10 =
% 241.62/47.34 | all_52_11) & ~ (all_52_10 = all_52_14) & ~ (all_52_11 =
% 241.62/47.34 | all_52_15) & ~ (all_52_12 = all_52_13) & ~ (all_52_12 =
% 241.62/47.34 | all_52_14) & ~ (all_52_12 = all_52_15) & ~ (all_52_13 =
% 241.62/47.34 | all_52_14) & ~ (all_52_13 = all_52_15) & ~ (all_52_14 =
% 241.62/47.34 | all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 241.62/47.34 | e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 241.62/47.34 | op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 241.62/47.34 | all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 241.62/47.34 | e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 241.62/47.34 | op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 241.62/47.34 | all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 241.62/47.34 | & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 241.62/47.34 | $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 241.62/47.34 | $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 241.62/47.34 |
% 241.62/47.34 | ALPHA: (107) implies:
% 241.62/47.34 | (108) ~ (all_52_14 = all_52_15)
% 241.62/47.34 | (109) ~ (all_52_13 = all_52_15)
% 241.62/47.34 | (110) ~ (all_52_13 = all_52_14)
% 241.62/47.34 | (111) ~ (all_52_12 = all_52_15)
% 241.62/47.34 | (112) ~ (all_52_12 = all_52_14)
% 241.62/47.34 | (113) ~ (all_52_12 = all_52_13)
% 241.62/47.34 | (114) ~ (all_52_11 = all_52_15)
% 241.62/47.34 | (115) ~ (all_52_10 = all_52_14)
% 241.62/47.34 | (116) ~ (all_52_10 = all_52_11)
% 241.62/47.34 | (117) ~ (all_52_9 = all_52_13)
% 241.62/47.34 | (118) ~ (all_52_9 = all_52_11)
% 241.62/47.34 | (119) ~ (all_52_9 = all_52_10)
% 241.62/47.34 | (120) ~ (all_52_8 = all_52_12)
% 241.62/47.34 | (121) ~ (all_52_8 = all_52_11)
% 241.62/47.34 | (122) ~ (all_52_8 = all_52_10)
% 241.62/47.34 | (123) ~ (all_52_8 = all_52_9)
% 241.62/47.34 | (124) ~ (all_52_7 = all_52_15)
% 241.62/47.34 | (125) ~ (all_52_7 = all_52_11)
% 241.62/47.34 | (126) ~ (all_52_6 = all_52_14)
% 241.62/47.34 | (127) ~ (all_52_6 = all_52_10)
% 241.62/47.34 | (128) ~ (all_52_6 = all_52_7)
% 241.62/47.34 | (129) ~ (all_52_5 = all_52_13)
% 241.62/47.34 | (130) ~ (all_52_5 = all_52_9)
% 241.62/47.34 | (131) ~ (all_52_5 = all_52_7)
% 241.62/47.34 | (132) ~ (all_52_5 = all_52_6)
% 241.62/47.34 | (133) ~ (all_52_4 = all_52_12)
% 241.62/47.34 | (134) ~ (all_52_4 = all_52_8)
% 241.62/47.34 | (135) ~ (all_52_4 = all_52_7)
% 241.62/47.34 | (136) ~ (all_52_4 = all_52_6)
% 241.62/47.34 | (137) ~ (all_52_4 = all_52_5)
% 241.62/47.34 | (138) ~ (all_52_3 = all_52_15)
% 241.62/47.34 | (139) ~ (all_52_3 = all_52_11)
% 241.62/47.34 | (140) ~ (all_52_3 = all_52_7)
% 241.62/47.34 | (141) ~ (all_52_2 = all_52_14)
% 241.62/47.34 | (142) ~ (all_52_2 = all_52_10)
% 241.62/47.34 | (143) ~ (all_52_2 = all_52_6)
% 241.62/47.35 | (144) ~ (all_52_2 = all_52_3)
% 241.62/47.35 | (145) ~ (all_52_1 = all_52_13)
% 241.62/47.35 | (146) ~ (all_52_1 = all_52_9)
% 241.62/47.35 | (147) ~ (all_52_1 = all_52_5)
% 241.62/47.35 | (148) ~ (all_52_1 = all_52_3)
% 241.62/47.35 | (149) ~ (all_52_1 = all_52_2)
% 241.62/47.35 | (150) ~ (all_52_0 = all_52_12)
% 241.62/47.35 | (151) ~ (all_52_0 = all_52_8)
% 241.62/47.35 | (152) ~ (all_52_0 = all_52_4)
% 241.62/47.35 | (153) ~ (all_52_0 = all_52_3)
% 241.62/47.35 | (154) ~ (all_52_0 = all_52_2)
% 241.62/47.35 | (155) ~ (all_52_0 = all_52_1)
% 241.62/47.35 | (156) op(e0, e0) = all_52_15
% 241.62/47.35 | (157) op(e0, e1) = all_52_11
% 241.62/47.35 | (158) op(e0, e2) = all_52_7
% 241.62/47.35 | (159) op(e0, e3) = all_52_3
% 241.62/47.35 | (160) op(e1, e0) = all_52_14
% 241.62/47.35 | (161) op(e1, e1) = all_52_10
% 241.62/47.35 | (162) op(e1, e2) = all_52_6
% 241.62/47.35 | (163) op(e1, e3) = all_52_2
% 241.62/47.35 | (164) op(e2, e0) = all_52_13
% 241.62/47.35 | (165) op(e2, e1) = all_52_9
% 241.62/47.35 | (166) op(e2, e2) = all_52_5
% 241.62/47.35 | (167) op(e2, e3) = all_52_1
% 241.62/47.35 | (168) op(e3, e0) = all_52_12
% 241.62/47.35 | (169) op(e3, e1) = all_52_8
% 241.62/47.35 | (170) op(e3, e2) = all_52_4
% 241.62/47.35 | (171) op(e3, e3) = all_52_0
% 241.62/47.35 |
% 241.62/47.35 | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 241.62/47.35 | all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 241.62/47.35 | all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 241.62/47.35 | (172) op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 241.62/47.35 | & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 241.62/47.35 | all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 241.62/47.35 | = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 241.62/47.35 | e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 241.62/47.35 | op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 241.62/47.35 | $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 241.62/47.35 | $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 241.62/47.35 | $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 241.62/47.35 | $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 241.62/47.35 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 241.62/47.35 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 241.62/47.35 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 241.62/47.35 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 241.62/47.35 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 241.62/47.35 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 241.62/47.35 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 241.62/47.35 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 241.62/47.35 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 241.62/47.35 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 241.62/47.35 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 241.62/47.35 | | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 241.62/47.35 | e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 241.62/47.35 | = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 241.62/47.35 | (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 241.62/47.35 | (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 241.62/47.35 |
% 241.62/47.35 | ALPHA: (172) implies:
% 241.62/47.35 | (173) op(e0, e0) = all_54_15
% 241.62/47.35 | (174) op(e0, e1) = all_54_14
% 241.62/47.35 | (175) op(e0, e2) = all_54_13
% 241.62/47.35 | (176) op(e0, e3) = all_54_12
% 241.62/47.35 | (177) op(e1, e0) = all_54_11
% 241.62/47.35 | (178) op(e1, e1) = all_54_10
% 241.62/47.35 | (179) op(e1, e2) = all_54_9
% 241.62/47.35 | (180) op(e1, e3) = all_54_8
% 241.62/47.35 | (181) op(e2, e0) = all_54_7
% 241.62/47.35 | (182) op(e2, e1) = all_54_6
% 241.62/47.35 | (183) op(e2, e2) = all_54_5
% 241.62/47.35 | (184) op(e2, e3) = all_54_4
% 241.62/47.35 | (185) op(e3, e0) = all_54_3
% 241.62/47.35 | (186) op(e3, e1) = all_54_2
% 241.62/47.35 | (187) op(e3, e2) = all_54_1
% 241.62/47.35 | (188) op(e3, e3) = all_54_0
% 241.62/47.35 | (189) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 241.62/47.35 | (190) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 241.62/47.35 | (191) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 241.62/47.35 | (192) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 241.62/47.35 | (193) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 241.62/47.35 | (194) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 241.62/47.35 | (195) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 241.62/47.35 | (196) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 241.62/47.35 | (197) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 241.62/47.35 | (198) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 241.62/47.35 | (199) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 241.62/47.35 | (200) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 241.62/47.35 | (201) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 241.62/47.35 | (202) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 241.62/47.35 | (203) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 241.62/47.35 | (204) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 241.62/47.35 |
% 241.62/47.35 | DELTA: instantiating (2) with fresh symbols all_56_0, all_56_1, all_56_2,
% 241.62/47.35 | all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 241.62/47.35 | all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 241.62/47.36 | (205) ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 241.62/47.36 | e3) | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 241.62/47.36 | e0) = e3)) & ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 =
% 241.62/47.36 | e3 & op(e2, e3) = e3) | (all_56_6 = e3 & op(e1, e3) = e3) |
% 241.62/47.36 | (all_56_12 = e3 & op(e0, e3) = e3)) & ((all_56_0 = e2 & op(e3, e3)
% 241.62/47.36 | = e2) | (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_4 = e2 &
% 241.62/47.36 | op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)) &
% 241.62/47.36 | ((all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 241.62/47.36 | e2) | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 241.62/47.36 | op(e0, e3) = e2)) & ((all_56_0 = e1 & op(e3, e3) = e1) |
% 241.62/47.36 | (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_4 = e1 & op(e3, e1) =
% 241.62/47.36 | e1) | (all_56_9 = e1 & op(e3, e0) = e1)) & ((all_56_0 = e1 &
% 241.62/47.36 | op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_6
% 241.62/47.36 | = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)) &
% 241.62/47.36 | ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 241.62/47.36 | e0) | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 241.62/47.36 | e0) = e0)) & ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 =
% 241.62/47.36 | e0 & op(e2, e3) = e0) | (all_56_6 = e0 & op(e1, e3) = e0) |
% 241.62/47.36 | (all_56_12 = e0 & op(e0, e3) = e0)) & ((all_56_1 = e3 & op(e3, e2)
% 241.62/47.36 | = e3) | (all_56_3 = e3 & op(e2, e2) = e3) | (all_56_7 = e3 &
% 241.62/47.36 | op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)) &
% 241.62/47.36 | ((all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 241.62/47.36 | e2) | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 241.62/47.36 | op(e0, e2) = e2)) & ((all_56_1 = e1 & op(e3, e2) = e1) |
% 241.62/47.36 | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 241.62/47.36 | e1) | (all_56_13 = e1 & op(e0, e2) = e1)) & ((all_56_1 = e0 &
% 241.62/47.36 | op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) | (all_56_7
% 241.62/47.36 | = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)) &
% 241.62/47.36 | ((all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 241.62/47.36 | e3) | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 241.62/47.36 | op(e2, e0) = e3)) & ((all_56_2 = e2 & op(e2, e3) = e2) |
% 241.62/47.36 | (all_56_3 = e2 & op(e2, e2) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 241.62/47.36 | e2) | (all_56_10 = e2 & op(e2, e0) = e2)) & ((all_56_2 = e1 &
% 241.62/47.36 | op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_5
% 241.62/47.36 | = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)) &
% 241.62/47.36 | ((all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 241.62/47.36 | e0) | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 241.62/47.36 | op(e2, e0) = e0)) & ((all_56_4 = e3 & op(e3, e1) = e3) |
% 241.62/47.36 | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_8 = e3 & op(e1, e1) =
% 241.62/47.36 | e3) | (all_56_14 = e3 & op(e0, e1) = e3)) & ((all_56_4 = e2 &
% 241.62/47.36 | op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_8
% 241.62/47.36 | = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)) &
% 241.62/47.36 | ((all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 241.62/47.36 | e1) | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 241.62/47.36 | op(e0, e1) = e1)) & ((all_56_4 = e0 & op(e3, e1) = e0) |
% 241.62/47.36 | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_8 = e0 & op(e1, e1) =
% 241.62/47.36 | e0) | (all_56_14 = e0 & op(e0, e1) = e0)) & ((all_56_6 = e3 &
% 241.62/47.36 | op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_8
% 241.62/47.36 | = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)) &
% 241.62/47.36 | ((all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 241.62/47.36 | e2) | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 241.62/47.36 | op(e1, e0) = e2)) & ((all_56_6 = e1 & op(e1, e3) = e1) |
% 241.62/47.36 | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_8 = e1 & op(e1, e1) =
% 241.62/47.36 | e1) | (all_56_11 = e1 & op(e1, e0) = e1)) & ((all_56_6 = e0 &
% 241.62/47.36 | op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_8
% 241.62/47.36 | = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 241.62/47.36 | ((all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 241.62/47.36 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 241.62/47.36 | op(e0, e0) = e3)) & ((all_56_9 = e2 & op(e3, e0) = e2) |
% 241.62/47.36 | (all_56_10 = e2 & op(e2, e0) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 241.62/47.36 | e2) | (all_56_15 = e2 & op(e0, e0) = e2)) & ((all_56_9 = e1 &
% 241.62/47.36 | op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 241.62/47.36 | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 241.62/47.36 | e1)) & ((all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 241.62/47.36 | op(e0, e2) = e3) | (all_56_14 = e3 & op(e0, e1) = e3) |
% 241.62/47.36 | (all_56_15 = e3 & op(e0, e0) = e3)) & ((all_56_12 = e2 & op(e0, e3)
% 241.62/47.36 | = e2) | (all_56_13 = e2 & op(e0, e2) = e2) | (all_56_14 = e2 &
% 241.62/47.36 | op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)) &
% 241.62/47.36 | ((all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 241.62/47.36 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 241.62/47.36 | op(e0, e0) = e1)) & ((all_56_15 = e0 & op(e0, e0) = e0) |
% 241.62/47.36 | (((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 241.62/47.36 | = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 =
% 241.62/47.36 | e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 241.62/47.36 | (all_56_14 = e0 & op(e0, e1) = e0))))
% 241.62/47.36 |
% 241.62/47.36 | ALPHA: (205) implies:
% 241.62/47.36 | (206) (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 241.62/47.36 | e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 241.62/47.36 | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 241.62/47.36 | (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 241.62/47.36 | = e0)))
% 241.95/47.36 | (207) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 241.95/47.36 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 241.95/47.36 | e0) = e1)
% 241.95/47.36 | (208) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 241.95/47.36 | e2) | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 241.95/47.36 | e0) = e2)
% 241.95/47.37 | (209) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 241.95/47.37 | e3) | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 241.95/47.37 | e0) = e3)
% 241.95/47.37 | (210) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 241.95/47.37 | e1) | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 241.95/47.37 | e0) = e1)
% 241.95/47.37 | (211) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 241.95/47.37 | e2) | (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 241.95/47.37 | e0) = e2)
% 241.95/47.37 | (212) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 241.95/47.37 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 241.95/47.37 | e0) = e3)
% 241.95/47.37 | (213) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 241.95/47.37 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 241.95/47.37 | e0)
% 241.95/47.37 | (214) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 241.95/47.37 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 241.95/47.37 | e1)
% 241.95/47.37 | (215) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 241.95/47.37 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 241.95/47.37 | e2)
% 241.95/47.37 | (216) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 241.95/47.37 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 241.95/47.37 | e3)
% 241.95/47.37 | (217) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 241.95/47.37 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 241.95/47.37 | e0)
% 241.95/47.37 | (218) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 241.95/47.37 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 241.95/47.37 | e1)
% 241.95/47.37 | (219) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 241.95/47.37 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 241.95/47.37 | e2)
% 241.95/47.37 | (220) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 241.95/47.37 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 241.95/47.37 | e3)
% 241.95/47.37 | (221) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 241.95/47.37 | | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 241.95/47.37 | e0)
% 241.95/47.37 | (222) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 241.95/47.37 | | (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 241.95/47.37 | e1)
% 241.95/47.37 | (223) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 241.95/47.37 | | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 241.95/47.37 | e2)
% 241.95/47.37 | (224) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 241.95/47.37 | | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 241.95/47.37 | e3)
% 241.95/47.37 | (225) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 241.95/47.37 | | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 241.95/47.37 | e0)
% 241.95/47.37 | (226) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 241.95/47.37 | | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 241.95/47.37 | e1)
% 241.95/47.37 | (227) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 241.95/47.37 | | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 241.95/47.37 | e2)
% 241.95/47.37 | (228) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 241.95/47.37 | | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 241.95/47.37 | e3)
% 241.95/47.37 | (229) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 241.95/47.37 | | (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 241.95/47.37 | e0)
% 241.95/47.37 | (230) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 241.95/47.37 | | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 241.95/47.37 | e0)
% 241.95/47.37 | (231) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 241.95/47.37 | | (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 241.95/47.37 | e1)
% 241.95/47.37 | (232) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 241.95/47.37 | | (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 241.95/47.37 | e1)
% 241.95/47.37 | (233) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 241.95/47.37 | | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 241.95/47.37 | e2)
% 241.95/47.37 | (234) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 241.95/47.37 | | (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 241.95/47.37 | e2)
% 241.95/47.37 | (235) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 241.95/47.37 | | (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 241.95/47.37 | e3)
% 241.95/47.37 | (236) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 241.95/47.37 | | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 241.95/47.37 | e3)
% 241.95/47.37 |
% 241.95/47.37 | DELTA: instantiating (10) with fresh symbols all_57_0, all_57_1, all_57_2,
% 241.95/47.37 | all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, all_57_9,
% 241.95/47.37 | all_57_10, all_57_11, all_57_12, all_57_13, all_57_14, all_57_15,
% 241.95/47.37 | all_57_16, all_57_17, all_57_18, all_57_19, all_57_20, all_57_21,
% 241.95/47.37 | all_57_22, all_57_23, all_57_24, all_57_25, all_57_26, all_57_27,
% 241.95/47.37 | all_57_28, all_57_29, all_57_30, all_57_31 gives:
% 241.95/47.38 | (237) ((all_57_0 = all_57_1 & op(all_57_1, e3) = all_57_1 & op(e3, e3) =
% 241.95/47.38 | all_57_1 & $i(all_57_1)) | (all_57_2 = all_57_3 & op(all_57_3,
% 241.95/47.38 | e2) = all_57_3 & op(e2, e3) = all_57_3 & $i(all_57_3)) |
% 241.95/47.38 | (all_57_4 = all_57_5 & op(all_57_5, e1) = all_57_5 & op(e1, e3) =
% 241.95/47.38 | all_57_5 & $i(all_57_5)) | (all_57_6 = all_57_7 & op(all_57_7,
% 241.95/47.38 | e0) = all_57_7 & op(e0, e3) = all_57_7 & $i(all_57_7))) &
% 241.95/47.38 | ((all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 241.95/47.38 | (all_57_11 = e3) & ~ (all_57_17 = e1) & ~ (all_57_25 = e0) &
% 241.95/47.38 | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 241.95/47.38 | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3) = e2 & op(e2, e2)
% 241.95/47.38 | = all_57_11 & $i(all_57_1) & $i(all_57_9) & $i(all_57_11) &
% 241.95/47.38 | $i(all_57_17) & $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 241.95/47.38 | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1) & ~ (all_57_21
% 241.95/47.38 | = e3) & ~ (all_57_25 = e0) & op(e3, e3) = all_57_1 & op(e3,
% 241.95/47.38 | e2) = all_57_9 & op(e3, e1) = all_57_17 & op(e3, e0) =
% 241.95/47.38 | all_57_25 & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 241.95/47.38 | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) & $i(all_57_21) &
% 241.95/47.38 | $i(all_57_25)) | (all_57_9 = e3 & ~ (all_57_1 = e2) & ~
% 241.95/47.38 | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 241.95/47.38 | (all_57_27 = e0) & op(e3, e3) = all_57_1 & op(e3, e2) = e3 &
% 241.95/47.38 | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 241.95/47.38 | all_57_19 & op(e2, e0) = all_57_27 & $i(all_57_1) & $i(all_57_3)
% 241.95/47.38 | & $i(all_57_11) & $i(all_57_19) & $i(all_57_27)) | (all_57_13 =
% 241.95/47.38 | e1 & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 241.95/47.38 | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 = e0) & op(e2, e3) =
% 241.95/47.38 | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 241.95/47.38 | op(e2, e0) = all_57_27 & op(e1, e2) = e1 & op(e1, e1) = all_57_21
% 241.95/47.38 | & $i(all_57_3) & $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 241.95/47.38 | $i(all_57_27)) | (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 241.95/47.38 | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 241.95/47.38 | (all_57_29 = e0) & op(e3, e3) = all_57_1 & op(e3, e1) = e3 &
% 241.95/47.38 | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1) =
% 241.95/47.38 | all_57_21 & op(e1, e0) = all_57_29 & $i(all_57_1) & $i(all_57_5)
% 241.95/47.38 | & $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) | (all_57_19 =
% 241.95/47.38 | e2 & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~ (all_57_13 =
% 241.95/47.38 | e2) & ~ (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e2, e2) =
% 241.95/47.38 | all_57_11 & op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1, e2)
% 241.95/47.38 | = all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 241.95/47.38 | $i(all_57_5) & $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 241.95/47.38 | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 241.95/47.38 | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 241.95/47.38 | (all_57_31 = e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3 &
% 241.95/47.38 | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 241.95/47.38 | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_1) & $i(all_57_7)
% 241.95/47.38 | & $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) | (all_57_27 =
% 241.95/47.38 | e2 & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~ (all_57_15 =
% 241.95/47.38 | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2, e2) =
% 241.95/47.38 | all_57_11 & op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0, e2)
% 241.95/47.38 | = all_57_15 & op(e0, e1) = all_57_23 & op(e0, e0) = all_57_31 &
% 241.95/47.38 | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 241.95/47.38 | $i(all_57_31)) | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 241.95/47.38 | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 241.95/47.38 | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~ (all_57_31 = e3)
% 241.95/47.38 | & op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1)
% 241.95/47.38 | = all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3) = e0 &
% 241.95/47.38 | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 241.95/47.38 | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) &
% 241.95/47.38 | ~ (all_57_19 = e1) & ~ (all_57_27 = e0) & ~ (all_57_31 =
% 241.95/47.38 | e2) & op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11 &
% 241.95/47.38 | op(e2, e1) = all_57_19 & op(e2, e0) = all_57_27 & op(e0, e2)
% 241.95/47.38 | = e0 & $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 241.95/47.38 | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 241.95/47.38 | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~ (all_57_29 = e0)
% 241.95/47.38 | & ~ (all_57_31 = e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 241.95/47.38 | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 241.95/47.38 | op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 241.95/47.38 | $i(all_57_21) & $i(all_57_29)) | (all_57_29 = e1 & ~
% 241.95/47.38 | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~ (all_57_21 = e0) &
% 241.95/47.38 | ~ (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 241.95/47.38 | all_57_21 & op(e1, e0) = e1 & op(e0, e3) = all_57_7 & op(e0,
% 241.95/47.38 | e2) = all_57_15 & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 241.95/47.38 | $i(all_57_15) & $i(all_57_21) & $i(all_57_23))))) &
% 241.95/47.38 | ((all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9 & op(e3, e2) =
% 241.95/47.38 | all_57_9 & $i(all_57_9)) | (all_57_10 = all_57_11 & op(all_57_11,
% 241.95/47.38 | e2) = all_57_11 & op(e2, e2) = all_57_11 & $i(all_57_11)) |
% 241.95/47.38 | (all_57_12 = all_57_13 & op(all_57_13, e1) = all_57_13 & op(e1, e2)
% 241.95/47.38 | = all_57_13 & $i(all_57_13)) | (all_57_14 = all_57_15 &
% 241.95/47.38 | op(all_57_15, e0) = all_57_15 & op(e0, e2) = all_57_15 &
% 241.95/47.38 | $i(all_57_15))) & ((all_57_16 = all_57_17 & op(all_57_17, e3) =
% 241.95/47.38 | all_57_17 & op(e3, e1) = all_57_17 & $i(all_57_17)) | (all_57_18
% 241.95/47.38 | = all_57_19 & op(all_57_19, e2) = all_57_19 & op(e2, e1) =
% 241.95/47.38 | all_57_19 & $i(all_57_19)) | (all_57_20 = all_57_21 &
% 241.95/47.38 | op(all_57_21, e1) = all_57_21 & op(e1, e1) = all_57_21 &
% 241.95/47.38 | $i(all_57_21)) | (all_57_22 = all_57_23 & op(all_57_23, e0) =
% 241.95/47.38 | all_57_23 & op(e0, e1) = all_57_23 & $i(all_57_23))) &
% 241.95/47.38 | ((all_57_24 = all_57_25 & op(all_57_25, e3) = all_57_25 & op(e3, e0)
% 241.95/47.38 | = all_57_25 & $i(all_57_25)) | (all_57_26 = all_57_27 &
% 241.95/47.38 | op(all_57_27, e2) = all_57_27 & op(e2, e0) = all_57_27 &
% 241.95/47.38 | $i(all_57_27)) | (all_57_28 = all_57_29 & op(all_57_29, e1) =
% 241.95/47.38 | all_57_29 & op(e1, e0) = all_57_29 & $i(all_57_29)) | (all_57_30
% 241.95/47.38 | = all_57_31 & op(all_57_31, e0) = all_57_31 & op(e0, e0) =
% 241.95/47.38 | all_57_31 & $i(all_57_31)))
% 241.95/47.38 |
% 241.95/47.38 | ALPHA: (237) implies:
% 241.95/47.38 | (238) (all_57_24 = all_57_25 & op(all_57_25, e3) = all_57_25 & op(e3, e0) =
% 241.95/47.38 | all_57_25 & $i(all_57_25)) | (all_57_26 = all_57_27 & op(all_57_27,
% 241.95/47.38 | e2) = all_57_27 & op(e2, e0) = all_57_27 & $i(all_57_27)) |
% 241.95/47.38 | (all_57_28 = all_57_29 & op(all_57_29, e1) = all_57_29 & op(e1, e0) =
% 241.95/47.38 | all_57_29 & $i(all_57_29)) | (all_57_30 = all_57_31 & op(all_57_31,
% 241.95/47.38 | e0) = all_57_31 & op(e0, e0) = all_57_31 & $i(all_57_31))
% 241.95/47.38 | (239) (all_57_16 = all_57_17 & op(all_57_17, e3) = all_57_17 & op(e3, e1) =
% 241.95/47.38 | all_57_17 & $i(all_57_17)) | (all_57_18 = all_57_19 & op(all_57_19,
% 241.95/47.38 | e2) = all_57_19 & op(e2, e1) = all_57_19 & $i(all_57_19)) |
% 241.95/47.38 | (all_57_20 = all_57_21 & op(all_57_21, e1) = all_57_21 & op(e1, e1) =
% 241.95/47.38 | all_57_21 & $i(all_57_21)) | (all_57_22 = all_57_23 & op(all_57_23,
% 241.95/47.38 | e0) = all_57_23 & op(e0, e1) = all_57_23 & $i(all_57_23))
% 241.95/47.38 | (240) (all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9 & op(e3, e2) =
% 241.95/47.38 | all_57_9 & $i(all_57_9)) | (all_57_10 = all_57_11 & op(all_57_11,
% 241.95/47.38 | e2) = all_57_11 & op(e2, e2) = all_57_11 & $i(all_57_11)) |
% 241.95/47.38 | (all_57_12 = all_57_13 & op(all_57_13, e1) = all_57_13 & op(e1, e2) =
% 241.95/47.38 | all_57_13 & $i(all_57_13)) | (all_57_14 = all_57_15 & op(all_57_15,
% 241.95/47.38 | e0) = all_57_15 & op(e0, e2) = all_57_15 & $i(all_57_15))
% 241.95/47.39 | (241) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 241.95/47.39 | (all_57_11 = e3) & ~ (all_57_17 = e1) & ~ (all_57_25 = e0) &
% 241.95/47.39 | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 241.95/47.39 | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3) = e2 & op(e2, e2) =
% 241.95/47.39 | all_57_11 & $i(all_57_1) & $i(all_57_9) & $i(all_57_11) &
% 241.95/47.39 | $i(all_57_17) & $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 241.95/47.39 | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1) & ~ (all_57_21 =
% 241.95/47.39 | e3) & ~ (all_57_25 = e0) & op(e3, e3) = all_57_1 & op(e3, e2) =
% 241.95/47.39 | all_57_9 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25 & op(e1,
% 241.95/47.39 | e3) = e1 & op(e1, e1) = all_57_21 & $i(all_57_1) & $i(all_57_9) &
% 241.95/47.39 | $i(all_57_17) & $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3 &
% 241.95/47.39 | ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 241.95/47.39 | (all_57_19 = e1) & ~ (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 241.95/47.39 | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11 &
% 241.95/47.39 | op(e2, e1) = all_57_19 & op(e2, e0) = all_57_27 & $i(all_57_1) &
% 241.95/47.39 | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) & $i(all_57_27)) |
% 241.95/47.39 | (all_57_13 = e1 & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 241.95/47.39 | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~ (all_57_27 = e0) &
% 241.95/47.39 | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 241.95/47.39 | all_57_19 & op(e2, e0) = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 241.95/47.39 | all_57_21 & $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 241.95/47.39 | $i(all_57_21) & $i(all_57_27)) | (all_57_17 = e3 & ~ (all_57_1 =
% 241.95/47.39 | e1) & ~ (all_57_5 = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 241.95/47.39 | e1) & ~ (all_57_29 = e0) & op(e3, e3) = all_57_1 & op(e3, e1) =
% 241.95/47.39 | e3 & op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1) =
% 241.95/47.39 | all_57_21 & op(e1, e0) = all_57_29 & $i(all_57_1) & $i(all_57_5) &
% 241.95/47.39 | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2 &
% 241.95/47.39 | ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~ (all_57_13 = e2) & ~
% 241.95/47.39 | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 241.95/47.39 | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13 &
% 241.95/47.39 | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29 & $i(all_57_5) &
% 241.95/47.39 | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 241.95/47.39 | (all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7 = e3) & ~
% 241.95/47.39 | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 241.95/47.39 | op(e3, e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7 &
% 241.95/47.39 | op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23 & op(e0, e0) =
% 241.95/47.39 | all_57_31 & $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 241.95/47.39 | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2 & ~ (all_57_7 =
% 241.95/47.39 | e3) & ~ (all_57_11 = e0) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 241.95/47.39 | e1) & ~ (all_57_31 = e0) & op(e2, e2) = all_57_11 & op(e2, e0) =
% 241.95/47.39 | e2 & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 241.95/47.39 | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7) & $i(all_57_11) &
% 241.95/47.39 | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 241.95/47.39 | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 = e3) &
% 241.95/47.39 | ~ (all_57_9 = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 = e0) &
% 241.95/47.39 | ~ (all_57_31 = e3) & op(e3, e3) = all_57_1 & op(e3, e2) =
% 241.95/47.39 | all_57_9 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25 &
% 241.95/47.39 | op(e0, e3) = e0 & $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 241.95/47.39 | $i(all_57_25)) | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 241.95/47.39 | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~ (all_57_27 = e0) &
% 241.95/47.39 | ~ (all_57_31 = e2) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 241.95/47.39 | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 241.95/47.39 | op(e0, e2) = e0 & $i(all_57_3) & $i(all_57_11) & $i(all_57_19)
% 241.95/47.39 | & $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 241.95/47.39 | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~ (all_57_29 = e0) &
% 241.95/47.39 | ~ (all_57_31 = e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 241.95/47.39 | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 241.95/47.39 | op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13) & $i(all_57_21)
% 241.95/47.39 | & $i(all_57_29)) | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 241.95/47.39 | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~ (all_57_23 = e1) &
% 241.95/47.39 | ~ (all_57_31 = e0) & op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 241.95/47.39 | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 241.95/47.39 | all_57_23 & $i(all_57_7) & $i(all_57_15) & $i(all_57_21) &
% 241.95/47.39 | $i(all_57_23))))
% 241.95/47.39 | (242) (all_57_0 = all_57_1 & op(all_57_1, e3) = all_57_1 & op(e3, e3) =
% 241.95/47.39 | all_57_1 & $i(all_57_1)) | (all_57_2 = all_57_3 & op(all_57_3, e2)
% 241.95/47.39 | = all_57_3 & op(e2, e3) = all_57_3 & $i(all_57_3)) | (all_57_4 =
% 241.95/47.39 | all_57_5 & op(all_57_5, e1) = all_57_5 & op(e1, e3) = all_57_5 &
% 241.95/47.39 | $i(all_57_5)) | (all_57_6 = all_57_7 & op(all_57_7, e0) = all_57_7
% 241.95/47.39 | & op(e0, e3) = all_57_7 & $i(all_57_7))
% 241.95/47.39 |
% 241.95/47.39 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_26_2, e0, e0,
% 241.95/47.39 | simplifying with (60), (69) gives:
% 241.95/47.39 | (243) all_26_2 = all_20_2
% 241.95/47.39 |
% 241.95/47.39 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_26_2, e0, e0,
% 241.95/47.39 | simplifying with (48), (69) gives:
% 241.95/47.39 | (244) all_26_2 = all_12_2
% 241.95/47.39 |
% 241.95/47.39 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_34_2, e0, e0,
% 241.95/47.39 | simplifying with (60), (81) gives:
% 241.95/47.39 | (245) all_34_2 = all_20_2
% 241.95/47.39 |
% 241.95/47.39 | GROUND_INST: instantiating (function-axioms) with all_44_2, all_52_15, e0, e0,
% 241.95/47.39 | simplifying with (96), (156) gives:
% 241.95/47.39 | (246) all_52_15 = all_44_2
% 241.95/47.39 |
% 241.95/47.39 | GROUND_INST: instantiating (function-axioms) with all_34_2, all_52_15, e0, e0,
% 241.95/47.39 | simplifying with (81), (156) gives:
% 241.95/47.39 | (247) all_52_15 = all_34_2
% 241.95/47.39 |
% 241.95/47.39 | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 241.95/47.39 | e0, simplifying with (156), (173) gives:
% 241.95/47.39 | (248) all_54_15 = all_52_15
% 241.95/47.39 |
% 241.95/47.39 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_54_15, e0, e0,
% 241.95/47.39 | simplifying with (36), (173) gives:
% 241.95/47.39 | (249) all_54_15 = all_4_2
% 241.95/47.39 |
% 242.05/47.39 | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 242.05/47.39 | e0, simplifying with (157), (174) gives:
% 242.05/47.39 | (250) all_54_14 = all_52_11
% 242.05/47.39 |
% 242.05/47.39 | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 242.05/47.39 | simplifying with (158), (175) gives:
% 242.05/47.39 | (251) all_54_13 = all_52_7
% 242.05/47.39 |
% 242.05/47.39 | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 242.05/47.39 | simplifying with (159), (176) gives:
% 242.05/47.39 | (252) all_54_12 = all_52_3
% 242.05/47.39 |
% 242.05/47.39 | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 242.05/47.39 | e1, simplifying with (160), (177) gives:
% 242.05/47.39 | (253) all_54_11 = all_52_14
% 242.05/47.39 |
% 242.05/47.39 | GROUND_INST: instantiating (function-axioms) with all_46_2, all_52_10, e1, e1,
% 242.05/47.39 | simplifying with (99), (161) gives:
% 242.05/47.39 | (254) all_52_10 = all_46_2
% 242.05/47.39 |
% 242.05/47.39 | GROUND_INST: instantiating (function-axioms) with all_36_2, all_52_10, e1, e1,
% 242.05/47.39 | simplifying with (84), (161) gives:
% 242.05/47.40 | (255) all_52_10 = all_36_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_52_10, e1, e1,
% 242.05/47.40 | simplifying with (72), (161) gives:
% 242.05/47.40 | (256) all_52_10 = all_28_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_52_10, e1, e1,
% 242.05/47.40 | simplifying with (39), (161) gives:
% 242.05/47.40 | (257) all_52_10 = all_6_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_52_10, all_54_10, e1,
% 242.05/47.40 | e1, simplifying with (161), (178) gives:
% 242.05/47.40 | (258) all_54_10 = all_52_10
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_40_2, all_54_10, e1, e1,
% 242.05/47.40 | simplifying with (90), (178) gives:
% 242.05/47.40 | (259) all_54_10 = all_40_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_54_10, e1, e1,
% 242.05/47.40 | simplifying with (57), (178) gives:
% 242.05/47.40 | (260) all_54_10 = all_18_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 242.05/47.40 | simplifying with (162), (179) gives:
% 242.05/47.40 | (261) all_54_9 = all_52_6
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 242.05/47.40 | simplifying with (163), (180) gives:
% 242.05/47.40 | (262) all_54_8 = all_52_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 242.05/47.40 | simplifying with (164), (181) gives:
% 242.05/47.40 | (263) all_54_7 = all_52_13
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 242.05/47.40 | simplifying with (165), (182) gives:
% 242.05/47.40 | (264) all_54_6 = all_52_9
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_14_2, all_22_2, e2, e2,
% 242.05/47.40 | simplifying with (51), (63) gives:
% 242.05/47.40 | (265) all_22_2 = all_14_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_30_2, e2, e2,
% 242.05/47.40 | simplifying with (63), (75) gives:
% 242.05/47.40 | (266) all_30_2 = all_22_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_30_2, all_42_2, e2, e2,
% 242.05/47.40 | simplifying with (75), (93) gives:
% 242.05/47.40 | (267) all_42_2 = all_30_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_48_2, all_52_5, e2, e2,
% 242.05/47.40 | simplifying with (102), (166) gives:
% 242.05/47.40 | (268) all_52_5 = all_48_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_42_2, all_52_5, e2, e2,
% 242.05/47.40 | simplifying with (93), (166) gives:
% 242.05/47.40 | (269) all_52_5 = all_42_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_52_5, all_54_5, e2, e2,
% 242.05/47.40 | simplifying with (166), (183) gives:
% 242.05/47.40 | (270) all_54_5 = all_52_5
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_54_5, e2, e2,
% 242.05/47.40 | simplifying with (42), (183) gives:
% 242.05/47.40 | (271) all_54_5 = all_8_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 242.05/47.40 | simplifying with (167), (184) gives:
% 242.05/47.40 | (272) all_54_4 = all_52_1
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 242.05/47.40 | simplifying with (168), (185) gives:
% 242.05/47.40 | (273) all_54_3 = all_52_12
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 242.05/47.40 | simplifying with (169), (186) gives:
% 242.05/47.40 | (274) all_54_2 = all_52_8
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 242.05/47.40 | simplifying with (170), (187) gives:
% 242.05/47.40 | (275) all_54_1 = all_52_4
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_32_2, all_38_2, e3, e3,
% 242.05/47.40 | simplifying with (78), (87) gives:
% 242.05/47.40 | (276) all_38_2 = all_32_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_38_2, e3, e3,
% 242.05/47.40 | simplifying with (66), (87) gives:
% 242.05/47.40 | (277) all_38_2 = all_24_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_50_2, e3, e3,
% 242.05/47.40 | simplifying with (87), (105) gives:
% 242.05/47.40 | (278) all_50_2 = all_38_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_52_0, e3, e3,
% 242.05/47.40 | simplifying with (87), (171) gives:
% 242.05/47.40 | (279) all_52_0 = all_38_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_16_2, all_52_0, e3, e3,
% 242.05/47.40 | simplifying with (54), (171) gives:
% 242.05/47.40 | (280) all_52_0 = all_16_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_54_0, e3, e3,
% 242.05/47.40 | simplifying with (105), (188) gives:
% 242.05/47.40 | (281) all_54_0 = all_50_2
% 242.05/47.40 |
% 242.05/47.40 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_54_0, e3, e3,
% 242.05/47.40 | simplifying with (45), (188) gives:
% 242.05/47.40 | (282) all_54_0 = all_10_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (281), (282) imply:
% 242.05/47.40 | (283) all_50_2 = all_10_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (283) implies:
% 242.05/47.40 | (284) all_50_2 = all_10_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (270), (271) imply:
% 242.05/47.40 | (285) all_52_5 = all_8_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (285) implies:
% 242.05/47.40 | (286) all_52_5 = all_8_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (259), (260) imply:
% 242.05/47.40 | (287) all_40_2 = all_18_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (258), (259) imply:
% 242.05/47.40 | (288) all_52_10 = all_40_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (288) implies:
% 242.05/47.40 | (289) all_52_10 = all_40_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (248), (249) imply:
% 242.05/47.40 | (290) all_52_15 = all_4_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (290) implies:
% 242.05/47.40 | (291) all_52_15 = all_4_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (279), (280) imply:
% 242.05/47.40 | (292) all_38_2 = all_16_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (292) implies:
% 242.05/47.40 | (293) all_38_2 = all_16_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (268), (269) imply:
% 242.05/47.40 | (294) all_48_2 = all_42_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (268), (286) imply:
% 242.05/47.40 | (295) all_48_2 = all_8_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (254), (255) imply:
% 242.05/47.40 | (296) all_46_2 = all_36_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (254), (256) imply:
% 242.05/47.40 | (297) all_46_2 = all_28_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (254), (289) imply:
% 242.05/47.40 | (298) all_46_2 = all_40_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (254), (257) imply:
% 242.05/47.40 | (299) all_46_2 = all_6_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (246), (247) imply:
% 242.05/47.40 | (300) all_44_2 = all_34_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (246), (291) imply:
% 242.05/47.40 | (301) all_44_2 = all_4_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (278), (284) imply:
% 242.05/47.40 | (302) all_38_2 = all_10_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (302) implies:
% 242.05/47.40 | (303) all_38_2 = all_10_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (294), (295) imply:
% 242.05/47.40 | (304) all_42_2 = all_8_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (304) implies:
% 242.05/47.40 | (305) all_42_2 = all_8_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (296), (299) imply:
% 242.05/47.40 | (306) all_36_2 = all_6_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (296), (297) imply:
% 242.05/47.40 | (307) all_36_2 = all_28_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (296), (298) imply:
% 242.05/47.40 | (308) all_40_2 = all_36_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (308) implies:
% 242.05/47.40 | (309) all_40_2 = all_36_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (300), (301) imply:
% 242.05/47.40 | (310) all_34_2 = all_4_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (310) implies:
% 242.05/47.40 | (311) all_34_2 = all_4_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (267), (305) imply:
% 242.05/47.40 | (312) all_30_2 = all_8_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (312) implies:
% 242.05/47.40 | (313) all_30_2 = all_8_2
% 242.05/47.40 |
% 242.05/47.40 | COMBINE_EQS: (287), (309) imply:
% 242.05/47.40 | (314) all_36_2 = all_18_2
% 242.05/47.40 |
% 242.05/47.40 | SIMP: (314) implies:
% 242.05/47.40 | (315) all_36_2 = all_18_2
% 242.05/47.40 |
% 242.05/47.41 | COMBINE_EQS: (276), (303) imply:
% 242.05/47.41 | (316) all_32_2 = all_10_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (276), (277) imply:
% 242.05/47.41 | (317) all_32_2 = all_24_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (276), (293) imply:
% 242.05/47.41 | (318) all_32_2 = all_16_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (307), (315) imply:
% 242.05/47.41 | (319) all_28_2 = all_18_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (306), (307) imply:
% 242.05/47.41 | (320) all_28_2 = all_6_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (245), (311) imply:
% 242.05/47.41 | (321) all_20_2 = all_4_2
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (321) implies:
% 242.05/47.41 | (322) all_20_2 = all_4_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (316), (317) imply:
% 242.05/47.41 | (323) all_24_2 = all_10_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (317), (318) imply:
% 242.05/47.41 | (324) all_24_2 = all_16_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (266), (313) imply:
% 242.05/47.41 | (325) all_22_2 = all_8_2
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (325) implies:
% 242.05/47.41 | (326) all_22_2 = all_8_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (319), (320) imply:
% 242.05/47.41 | (327) all_18_2 = all_6_2
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (327) implies:
% 242.05/47.41 | (328) all_18_2 = all_6_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (243), (244) imply:
% 242.05/47.41 | (329) all_20_2 = all_12_2
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (329) implies:
% 242.05/47.41 | (330) all_20_2 = all_12_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (323), (324) imply:
% 242.05/47.41 | (331) all_16_2 = all_10_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (265), (326) imply:
% 242.05/47.41 | (332) all_14_2 = all_8_2
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (332) implies:
% 242.05/47.41 | (333) all_14_2 = all_8_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (322), (330) imply:
% 242.05/47.41 | (334) all_12_2 = all_4_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (244), (334) imply:
% 242.05/47.41 | (335) all_26_2 = all_4_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (287), (328) imply:
% 242.05/47.41 | (336) all_40_2 = all_6_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (280), (331) imply:
% 242.05/47.41 | (337) all_52_0 = all_10_2
% 242.05/47.41 |
% 242.05/47.41 | COMBINE_EQS: (259), (336) imply:
% 242.05/47.41 | (338) all_54_10 = all_6_2
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (155), (337) imply:
% 242.05/47.41 | (339) ~ (all_52_1 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (339) implies:
% 242.05/47.41 | (340) ~ (all_52_1 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (154), (337) imply:
% 242.05/47.41 | (341) ~ (all_52_2 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (341) implies:
% 242.05/47.41 | (342) ~ (all_52_2 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (153), (337) imply:
% 242.05/47.41 | (343) ~ (all_52_3 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (343) implies:
% 242.05/47.41 | (344) ~ (all_52_3 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (152), (337) imply:
% 242.05/47.41 | (345) ~ (all_52_4 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (345) implies:
% 242.05/47.41 | (346) ~ (all_52_4 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (151), (337) imply:
% 242.05/47.41 | (347) ~ (all_52_8 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (347) implies:
% 242.05/47.41 | (348) ~ (all_52_8 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (150), (337) imply:
% 242.05/47.41 | (349) ~ (all_52_12 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (349) implies:
% 242.05/47.41 | (350) ~ (all_52_12 = all_10_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (147), (286) imply:
% 242.05/47.41 | (351) ~ (all_52_1 = all_8_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (142), (257) imply:
% 242.05/47.41 | (352) ~ (all_52_2 = all_6_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (138), (291) imply:
% 242.05/47.41 | (353) ~ (all_52_3 = all_4_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (137), (286) imply:
% 242.05/47.41 | (354) ~ (all_52_4 = all_8_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (132), (286) imply:
% 242.05/47.41 | (355) ~ (all_52_6 = all_8_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (355) implies:
% 242.05/47.41 | (356) ~ (all_52_6 = all_8_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (131), (286) imply:
% 242.05/47.41 | (357) ~ (all_52_7 = all_8_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (357) implies:
% 242.05/47.41 | (358) ~ (all_52_7 = all_8_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (130), (286) imply:
% 242.05/47.41 | (359) ~ (all_52_9 = all_8_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (359) implies:
% 242.05/47.41 | (360) ~ (all_52_9 = all_8_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (129), (286) imply:
% 242.05/47.41 | (361) ~ (all_52_13 = all_8_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (361) implies:
% 242.05/47.41 | (362) ~ (all_52_13 = all_8_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (127), (257) imply:
% 242.05/47.41 | (363) ~ (all_52_6 = all_6_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (124), (291) imply:
% 242.05/47.41 | (364) ~ (all_52_7 = all_4_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (122), (257) imply:
% 242.05/47.41 | (365) ~ (all_52_8 = all_6_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (119), (257) imply:
% 242.05/47.41 | (366) ~ (all_52_9 = all_6_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (116), (257) imply:
% 242.05/47.41 | (367) ~ (all_52_11 = all_6_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (367) implies:
% 242.05/47.41 | (368) ~ (all_52_11 = all_6_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (115), (257) imply:
% 242.05/47.41 | (369) ~ (all_52_14 = all_6_2)
% 242.05/47.41 |
% 242.05/47.41 | SIMP: (369) implies:
% 242.05/47.41 | (370) ~ (all_52_14 = all_6_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (114), (291) imply:
% 242.05/47.41 | (371) ~ (all_52_11 = all_4_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (111), (291) imply:
% 242.05/47.41 | (372) ~ (all_52_12 = all_4_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (109), (291) imply:
% 242.05/47.41 | (373) ~ (all_52_13 = all_4_2)
% 242.05/47.41 |
% 242.05/47.41 | REDUCE: (108), (291) imply:
% 242.05/47.41 | (374) ~ (all_52_14 = all_4_2)
% 242.05/47.41 |
% 242.05/47.41 | BETA: splitting (37) gives:
% 242.05/47.41 |
% 242.05/47.41 | Case 1:
% 242.05/47.41 | |
% 242.05/47.41 | | (375) ~ (all_4_2 = e2)
% 242.05/47.41 | |
% 242.05/47.41 | | BETA: splitting (40) gives:
% 242.05/47.41 | |
% 242.05/47.41 | | Case 1:
% 242.05/47.41 | | |
% 242.05/47.41 | | | (376) ~ (all_6_2 = e3)
% 242.05/47.41 | | |
% 242.05/47.41 | | | BETA: splitting (43) gives:
% 242.05/47.41 | | |
% 242.05/47.41 | | | Case 1:
% 242.05/47.41 | | | |
% 242.05/47.41 | | | | (377) ~ (all_8_2 = e3)
% 242.05/47.41 | | | |
% 242.05/47.41 | | | | BETA: splitting (46) gives:
% 242.05/47.41 | | | |
% 242.05/47.41 | | | | Case 1:
% 242.05/47.41 | | | | |
% 242.05/47.41 | | | | | (378) ~ (all_10_2 = e1)
% 242.05/47.41 | | | | |
% 242.05/47.41 | | | | | BETA: splitting (49) gives:
% 242.05/47.41 | | | | |
% 242.05/47.41 | | | | | Case 1:
% 242.05/47.41 | | | | | |
% 242.05/47.41 | | | | | | (379) ~ (all_12_2 = e3)
% 242.05/47.41 | | | | | |
% 242.05/47.41 | | | | | | REDUCE: (334), (379) imply:
% 242.05/47.41 | | | | | | (380) ~ (all_4_2 = e3)
% 242.05/47.41 | | | | | |
% 242.05/47.41 | | | | | | BETA: splitting (52) gives:
% 242.05/47.41 | | | | | |
% 242.05/47.41 | | | | | | Case 1:
% 242.05/47.41 | | | | | | |
% 242.05/47.41 | | | | | | | (381) ~ (all_14_2 = e0)
% 242.05/47.41 | | | | | | |
% 242.05/47.41 | | | | | | | REDUCE: (333), (381) imply:
% 242.05/47.41 | | | | | | | (382) ~ (all_8_2 = e0)
% 242.05/47.41 | | | | | | |
% 242.05/47.41 | | | | | | | BETA: splitting (55) gives:
% 242.05/47.41 | | | | | | |
% 242.05/47.41 | | | | | | | Case 1:
% 242.05/47.41 | | | | | | | |
% 242.05/47.41 | | | | | | | | (383) ~ (all_16_2 = e0)
% 242.05/47.41 | | | | | | | |
% 242.05/47.41 | | | | | | | | REDUCE: (331), (383) imply:
% 242.05/47.41 | | | | | | | | (384) ~ (all_10_2 = e0)
% 242.05/47.41 | | | | | | | |
% 242.05/47.41 | | | | | | | | BETA: splitting (58) gives:
% 242.05/47.41 | | | | | | | |
% 242.05/47.41 | | | | | | | | Case 1:
% 242.05/47.41 | | | | | | | | |
% 242.05/47.41 | | | | | | | | | (385) ~ (all_18_2 = e0)
% 242.05/47.41 | | | | | | | | |
% 242.05/47.41 | | | | | | | | | REDUCE: (328), (385) imply:
% 242.05/47.41 | | | | | | | | | (386) ~ (all_6_2 = e0)
% 242.05/47.41 | | | | | | | | |
% 242.05/47.41 | | | | | | | | | BETA: splitting (61) gives:
% 242.05/47.41 | | | | | | | | |
% 242.05/47.41 | | | | | | | | | Case 1:
% 242.05/47.41 | | | | | | | | | |
% 242.05/47.41 | | | | | | | | | | (387) ~ (all_20_2 = e1)
% 242.05/47.41 | | | | | | | | | |
% 242.05/47.41 | | | | | | | | | | REDUCE: (322), (387) imply:
% 242.05/47.41 | | | | | | | | | | (388) ~ (all_4_2 = e1)
% 242.05/47.41 | | | | | | | | | |
% 242.05/47.41 | | | | | | | | | | BETA: splitting (189) gives:
% 242.05/47.41 | | | | | | | | | |
% 242.05/47.41 | | | | | | | | | | Case 1:
% 242.05/47.41 | | | | | | | | | | |
% 242.05/47.41 | | | | | | | | | | | (389) all_54_15 = e3
% 242.05/47.42 | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | REF_CLOSE: (249), (380), (389) are inconsistent by sub-proof
% 242.05/47.42 | | | | | | | | | | | #3475.
% 242.05/47.42 | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | Case 2:
% 242.05/47.42 | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | (390) ~ (all_54_15 = e3)
% 242.05/47.42 | | | | | | | | | | | (391) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 242.05/47.42 | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | BETA: splitting (391) gives:
% 242.05/47.42 | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | Case 1:
% 242.05/47.42 | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | (392) all_54_15 = e2
% 242.05/47.42 | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | REF_CLOSE: (249), (375), (392) are inconsistent by sub-proof
% 242.05/47.42 | | | | | | | | | | | | #3474.
% 242.05/47.42 | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | Case 2:
% 242.05/47.42 | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | (393) ~ (all_54_15 = e2)
% 242.05/47.42 | | | | | | | | | | | | (394) all_54_15 = e1 | all_54_15 = e0
% 242.05/47.42 | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | BETA: splitting (394) gives:
% 242.05/47.42 | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | Case 1:
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | (395) all_54_15 = e1
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | REF_CLOSE: (249), (388), (395) are inconsistent by sub-proof
% 242.05/47.42 | | | | | | | | | | | | | #3473.
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | Case 2:
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | (396) all_54_15 = e0
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | COMBINE_EQS: (249), (396) imply:
% 242.05/47.42 | | | | | | | | | | | | | (397) all_4_2 = e0
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | SIMP: (397) implies:
% 242.05/47.42 | | | | | | | | | | | | | (398) all_4_2 = e0
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | REDUCE: (353), (398) imply:
% 242.05/47.42 | | | | | | | | | | | | | (399) ~ (all_52_3 = e0)
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | REDUCE: (364), (398) imply:
% 242.05/47.42 | | | | | | | | | | | | | (400) ~ (all_52_7 = e0)
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | REDUCE: (371), (398) imply:
% 242.05/47.42 | | | | | | | | | | | | | (401) ~ (all_52_11 = e0)
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | REDUCE: (372), (398) imply:
% 242.05/47.42 | | | | | | | | | | | | | (402) ~ (all_52_12 = e0)
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | REDUCE: (374), (398) imply:
% 242.05/47.42 | | | | | | | | | | | | | (403) ~ (all_52_14 = e0)
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | REDUCE: (380), (398) imply:
% 242.05/47.42 | | | | | | | | | | | | | (404) ~ (e3 = e0)
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | REDUCE: (375), (398) imply:
% 242.05/47.42 | | | | | | | | | | | | | (405) ~ (e2 = e0)
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | BETA: splitting (206) gives:
% 242.05/47.42 | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | Case 1:
% 242.05/47.42 | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | (406) all_56_15 = e0 & op(e0, e0) = e0
% 242.05/47.42 | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | ALPHA: (406) implies:
% 242.05/47.42 | | | | | | | | | | | | | | (407) all_56_15 = e0
% 242.05/47.42 | | | | | | | | | | | | | | (408) op(e0, e0) = e0
% 242.05/47.42 | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 242.05/47.42 | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | Case 1:
% 242.05/47.42 | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | (409) ~ (all_22_2 = e1)
% 242.05/47.42 | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | REDUCE: (326), (409) imply:
% 242.05/47.42 | | | | | | | | | | | | | | | (410) ~ (all_8_2 = e1)
% 242.05/47.42 | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 242.05/47.42 | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | Case 1:
% 242.05/47.42 | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | (411) all_54_5 = e3
% 242.05/47.42 | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | REF_CLOSE: (271), (377), (411) are inconsistent by sub-proof
% 242.05/47.42 | | | | | | | | | | | | | | | | #3472.
% 242.05/47.42 | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | Case 2:
% 242.05/47.42 | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | (412) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 242.05/47.42 | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | BETA: splitting (412) gives:
% 242.05/47.42 | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | Case 1:
% 242.05/47.42 | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | (413) all_54_5 = e2
% 242.05/47.42 | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (413) imply:
% 242.05/47.42 | | | | | | | | | | | | | | | | | (414) all_8_2 = e2
% 242.05/47.42 | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | SIMP: (414) implies:
% 242.05/47.42 | | | | | | | | | | | | | | | | | (415) all_8_2 = e2
% 242.05/47.42 | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | REDUCE: (360), (415) imply:
% 242.05/47.42 | | | | | | | | | | | | | | | | | (416) ~ (all_52_9 = e2)
% 242.05/47.42 | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | REDUCE: (362), (415) imply:
% 242.05/47.42 | | | | | | | | | | | | | | | | | (417) ~ (all_52_13 = e2)
% 242.05/47.42 | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | REDUCE: (42), (415) imply:
% 242.05/47.42 | | | | | | | | | | | | | | | | | (418) op(e2, e2) = e2
% 242.05/47.42 | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 242.05/47.42 | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | Case 1:
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | (419) ~ (all_24_2 = e2)
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | REDUCE: (323), (419) imply:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | (420) ~ (all_10_2 = e2)
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (158), (159), (164), (165), (169),
% 242.05/47.42 | | | | | | | | | | | | | | | | | | (170), (204), (241), (282), (346), (348), (378),
% 242.05/47.42 | | | | | | | | | | | | | | | | | | (384), (399), (400), (401), (408), (416), (417),
% 242.05/47.42 | | | | | | | | | | | | | | | | | | (418), (420), (function-axioms) are inconsistent
% 242.05/47.42 | | | | | | | | | | | | | | | | | | by sub-proof #3453.
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | Case 2:
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | (421) all_24_2 = e2
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (421) imply:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | (422) all_10_2 = e2
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | SIMP: (422) implies:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | (423) all_10_2 = e2
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | REDUCE: (340), (423) imply:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | (424) ~ (all_52_1 = e2)
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | REDUCE: (350), (423) imply:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | (425) ~ (all_52_12 = e2)
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 242.05/47.42 | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | Case 1:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | (426) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.05/47.42 | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (417), (425), (426),
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | #3451.
% 242.05/47.42 | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | Case 2:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | (427) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.05/47.42 | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | | (428) all_56_11 = e2 & op(e1, e0) = e2
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | | (429) op(e1, e0) = e2
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (429) gives:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | | (430) all_52_14 = e2
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (430) imply:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | | (431) ~ (all_6_2 = e2)
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | | SIMP: (431) implies:
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | | (432) ~ (all_6_2 = e2)
% 242.05/47.42 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (159), (160), (163), (164), (167), (194),
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | | (241), (338), (352), (370), (376), (386), (399),
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | | (408), (417), (418), (424), (432),
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | | #3435.
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | | (433) all_56_15 = e2 & op(e0, e0) = e2
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (433) implies:
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | | (434) all_56_15 = e2
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (407), (434) are inconsistent by sub-proof
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | | #3434.
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | |
% 242.05/47.43 | | | | | | | | | | | | | | | | | | | End of split
% 242.05/47.43 | | | | | | | | | | | | | | | | | | |
% 242.05/47.43 | | | | | | | | | | | | | | | | | | End of split
% 242.05/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | End of split
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | (435) all_54_5 = e1 | all_54_5 = e0
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (382), (410), (435) are inconsistent by
% 242.23/47.43 | | | | | | | | | | | | | | | | | sub-proof #3433.
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | End of split
% 242.23/47.43 | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | End of split
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | Case 2:
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | (436) all_22_2 = e1
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | COMBINE_EQS: (326), (436) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | (437) all_8_2 = e1
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | SIMP: (437) implies:
% 242.23/47.43 | | | | | | | | | | | | | | | (438) all_8_2 = e1
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | REDUCE: (351), (438) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | (439) ~ (all_52_1 = e1)
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | REDUCE: (356), (438) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | (440) ~ (all_52_6 = e1)
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | REDUCE: (358), (438) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | (441) ~ (all_52_7 = e1)
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | REDUCE: (360), (438) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | (442) ~ (all_52_9 = e1)
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | REDUCE: (377), (438) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | (443) ~ (e3 = e1)
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | REDUCE: (42), (438) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | (444) op(e2, e2) = e1
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 242.23/47.43 | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | Case 1:
% 242.23/47.43 | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | (445) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 242.23/47.43 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.23/47.43 | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 242.23/47.43 | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | (446) all_56_1 = e1 & op(e3, e2) = e1
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | ALPHA: (446) implies:
% 242.23/47.43 | | | | | | | | | | | | | | | | | (447) all_56_1 = e1
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (225), (227),
% 242.23/47.43 | | | | | | | | | | | | | | | | | (228), (382), (444), (447), (function-axioms) are
% 242.23/47.43 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3412.
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | (448) all_56_3 = e1 & op(e2, e2) = e1
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | ALPHA: (448) implies:
% 242.23/47.43 | | | | | | | | | | | | | | | | | (449) all_56_3 = e1
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 242.23/47.43 | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (450) ~ (all_24_2 = e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | REDUCE: (323), (450) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (451) ~ (all_10_2 = e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (158), (159), (162), (169), (170),
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (204), (241), (282), (346), (348), (378), (384),
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (399), (400), (401), (408), (440), (444), (451),
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.23/47.43 | | | | | | | | | | | | | | | | | | #3406.
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (452) all_24_2 = e2
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (453) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 242.23/47.43 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 242.23/47.43 | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (452) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (454) all_10_2 = e2
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | SIMP: (454) implies:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (455) all_10_2 = e2
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (455) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (456) all_32_2 = e2
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | REDUCE: (340), (455) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (457) ~ (all_52_1 = e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | REDUCE: (344), (455) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (458) ~ (all_52_3 = e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | REDUCE: (350), (455) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (459) ~ (all_52_12 = e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | REDUCE: (45), (455) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | (460) op(e3, e3) = e2
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 242.23/47.43 | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | (461) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (461) gives:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | (462) all_56_0 = e2 & op(e3, e3) = e2
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (462) implies:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | (463) all_56_0 = e2
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | (464) ~ (all_32_2 = e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (456), (464) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | (465) $false
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | CLOSE: (465) is inconsistent.
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | (466) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | (467) ~ (all_36_2 = e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (467) imply:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | (468) ~ (all_6_2 = e2)
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | (469) all_54_10 = e3
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (469) are inconsistent by sub-proof
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | #3450.
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | (470) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | | (471) all_54_10 = e2
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (468), (471) are inconsistent by sub-proof
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | | #3449.
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | | (472) all_54_10 = e1 | all_54_10 = e0
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_54_10 = e1
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (473) imply:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_6_2 = e1
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (474) implies:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_6_2 = e1
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (475) imply:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | (476) ~ (all_52_2 = e1)
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (475) imply:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | (477) op(e1, e1) = e1
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (478) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (457), (476), (479),
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3446.
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (440), (460), (480), (function-axioms) are
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3404.
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (481) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.23/47.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (477), (482), (function-axioms) are
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3403.
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (399), (400), (401), (408),
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (483), (function-axioms) are inconsistent by
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3407.
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | (484) all_54_10 = e0
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (386), (484) are inconsistent by sub-proof
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | #3436.
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | (485) all_36_2 = e2
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | (486) ( ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (485) imply:
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | (487) all_6_2 = e2
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (487) imply:
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | (488) ~ (all_52_9 = e2)
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (487) imply:
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | (489) ~ (all_52_11 = e2)
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (487) imply:
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | (490) ~ (e3 = e2)
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | |
% 242.23/47.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (487) imply:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | (491) op(e1, e1) = e2
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | (492) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | (493) all_56_1 = e2 & op(e3, e2) = e2
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (493) implies:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | (494) all_56_1 = e2
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | (495) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_56_1 = e0 & op(e3, e2) = e0
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (494), (496) are inconsistent by sub-proof
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | #3402.
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_56_3 = e0 & op(e2, e2) = e0
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (382), (497), (function-axioms) are
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | (498) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (498) gives:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_56_7 = e0 & op(e1, e2) = e0
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (499) implies:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_56_7 = e0
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_56_12 = e2 & op(e0, e3) = e2
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (458), (502), (function-axioms) are
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_56_13 = e2 & op(e0, e2) = e2
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (503) implies:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_56_13 = e2
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) op(e0, e2) = e2
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (112),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (139), (144), (146), (148), (149),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (165),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (190), (192), (193), (198),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (206), (207), (208), (209), (210),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (216), (217), (218),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (240), (241), (242), (250),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (253), (264), (272), (273), (376), (382),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (399), (400), (401), (402), (403), (407),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (439), (440), (441), (442), (444), (449),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453), (457), (458), (459), (460), (463), (466),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486), (488), (489), (491), (504), (505),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3108.
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (506) gives:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_56_14 = e2 & op(e0, e1) = e2
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (507) implies:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) all_56_14 = e2
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (491), (508), (function-axioms) are
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3098.
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_56_15 = e2 & op(e0, e0) = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (494), (500), (509), (function-axioms) are
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3097.
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (510) all_56_13 = e0 & op(e0, e2) = e0
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (510) implies:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (511) op(e0, e2) = e0
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (400), (511), (function-axioms) are
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (512) all_56_3 = e2 & op(e2, e2) = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (512) implies:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (513) op(e2, e2) = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (444), (513), (function-axioms) are
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | (514) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (514) gives:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (515) all_56_7 = e2 & op(e1, e2) = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (515) implies:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (516) all_56_7 = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (216), (376), (491), (516), (function-axioms) are
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3082.
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (517) all_56_13 = e2 & op(e0, e2) = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (517) implies:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (518) all_56_13 = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (519) op(e0, e2) = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (112),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (139), (144), (146), (148), (149),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (165),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (190), (192), (193), (198),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (206), (207), (208), (209), (210),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (216), (217), (218),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (240), (241), (242), (250),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (252), (253), (264), (272), (273), (376), (382),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (386), (399), (400), (401), (402), (403), (407),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (408), (439), (440), (441), (442), (444), (449),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (453), (457), (458), (459), (460), (463), (466),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (486), (488), (489), (491), (518), (519),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | | #3108.
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | (520) all_56_2 = e2 & op(e2, e3) = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | (521) op(e2, e3) = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (457), (521), (function-axioms) are
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | (522) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 242.35/47.46 | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | (523) all_56_6 = e2 & op(e1, e3) = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | ALPHA: (523) implies:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | (524) all_56_6 = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | (525) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (525) gives:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | (526) all_56_6 = e0 & op(e1, e3) = e0
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (524), (526) are inconsistent by sub-proof
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | #3177.
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | (527) all_56_7 = e0 & op(e1, e2) = e0
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (527) implies:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | (528) all_56_7 = e0
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (157),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | (159), (162), (168), (206), (209), (210), (211),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | (214), (216), (217), (218), (219), (221), (222),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (235), (236), (376),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | (382), (386), (399), (401), (402), (407), (440),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | (444), (449), (459), (460), (524), (528),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | | #3176.
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | (529) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (386), (403), (529),
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | | #3081.
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | (530) all_56_12 = e2 & op(e0, e3) = e2
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (458), (530), (function-axioms) are
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | (531) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 242.35/47.46 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.35/47.46 | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (440), (441), (531),
% 242.35/47.46 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.46 | | | | | | | | | | | | | | | | #3080.
% 242.35/47.46 | | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | (532) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 242.35/47.46 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 242.35/47.46 | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 242.35/47.46 | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 242.35/47.46 | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 242.35/47.46 | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | ALPHA: (532) implies:
% 242.35/47.46 | | | | | | | | | | | | | | (533) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 242.35/47.46 | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 242.35/47.46 | | | | | | | | | | | | | | e1) = e0)
% 242.35/47.46 | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (399), (400), (401), (533),
% 242.35/47.46 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.46 | | | | | | | | | | | | | | #3078.
% 242.35/47.46 | | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | End of split
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | Case 2:
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | (534) all_20_2 = e1
% 242.35/47.46 | | | | | | | | | | (535) ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0 &
% 242.35/47.46 | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 242.35/47.46 | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 242.35/47.46 | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | COMBINE_EQS: (322), (534) imply:
% 242.35/47.46 | | | | | | | | | | (536) all_4_2 = e1
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | SIMP: (536) implies:
% 242.35/47.46 | | | | | | | | | | (537) all_4_2 = e1
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | COMBINE_EQS: (311), (537) imply:
% 242.35/47.46 | | | | | | | | | | (538) all_34_2 = e1
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | REDUCE: (353), (537) imply:
% 242.35/47.46 | | | | | | | | | | (539) ~ (all_52_3 = e1)
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | REDUCE: (364), (537) imply:
% 242.35/47.46 | | | | | | | | | | (540) ~ (all_52_7 = e1)
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | REDUCE: (371), (537) imply:
% 242.35/47.46 | | | | | | | | | | (541) ~ (all_52_11 = e1)
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | REDUCE: (372), (537) imply:
% 242.35/47.46 | | | | | | | | | | (542) ~ (all_52_12 = e1)
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | REDUCE: (374), (537) imply:
% 242.35/47.46 | | | | | | | | | | (543) ~ (all_52_14 = e1)
% 242.35/47.46 | | | | | | | | | |
% 242.35/47.46 | | | | | | | | | | REDUCE: (375), (537) imply:
% 242.35/47.47 | | | | | | | | | | (544) ~ (e2 = e1)
% 242.35/47.47 | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | BETA: splitting (207) gives:
% 242.35/47.47 | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | (545) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 242.35/47.47 | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.35/47.47 | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | REF_CLOSE: (158), (159), (539), (540), (545),
% 242.35/47.47 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.47 | | | | | | | | | | | #3076.
% 242.35/47.47 | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | Case 2:
% 242.35/47.47 | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | (546) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 242.35/47.47 | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 242.35/47.47 | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | BETA: splitting (546) gives:
% 242.35/47.47 | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | (547) all_56_14 = e1 & op(e0, e1) = e1
% 242.35/47.47 | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | REF_CLOSE: (157), (541), (547), (function-axioms) are
% 242.35/47.47 | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 242.35/47.47 | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | Case 2:
% 242.35/47.47 | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | (548) all_56_15 = e1 & op(e0, e0) = e1
% 242.35/47.47 | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | ALPHA: (548) implies:
% 242.35/47.47 | | | | | | | | | | | | (549) all_56_15 = e1
% 242.35/47.47 | | | | | | | | | | | | (550) op(e0, e0) = e1
% 242.35/47.47 | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | BETA: splitting (64) gives:
% 242.35/47.47 | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | (551) ~ (all_22_2 = e1)
% 242.35/47.47 | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | REDUCE: (326), (551) imply:
% 242.35/47.47 | | | | | | | | | | | | | (552) ~ (all_8_2 = e1)
% 242.35/47.47 | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 242.35/47.47 | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | (553) all_54_5 = e3
% 242.35/47.47 | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | REF_CLOSE: (271), (377), (553) are inconsistent by sub-proof
% 242.35/47.47 | | | | | | | | | | | | | | #3472.
% 242.35/47.47 | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | Case 2:
% 242.35/47.47 | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | (554) ~ (all_54_5 = e3)
% 242.35/47.47 | | | | | | | | | | | | | | (555) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 242.35/47.47 | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | BETA: splitting (555) gives:
% 242.35/47.47 | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | (556) all_54_5 = e2
% 242.35/47.47 | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | COMBINE_EQS: (271), (556) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | (557) all_8_2 = e2
% 242.35/47.47 | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | SIMP: (557) implies:
% 242.35/47.47 | | | | | | | | | | | | | | | (558) all_8_2 = e2
% 242.35/47.47 | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | REDUCE: (351), (558) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | (559) ~ (all_52_1 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | REDUCE: (358), (558) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | (560) ~ (all_52_7 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | REDUCE: (360), (558) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | (561) ~ (all_52_9 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | REDUCE: (362), (558) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | (562) ~ (all_52_13 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | REDUCE: (377), (558) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | (563) ~ (e3 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 242.35/47.47 | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | (564) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | BETA: splitting (564) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | (565) all_56_2 = e2 & op(e2, e3) = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | ALPHA: (565) implies:
% 242.35/47.47 | | | | | | | | | | | | | | | | | (566) op(e2, e3) = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (559), (566), (function-axioms) are
% 242.35/47.47 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 242.35/47.47 | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.47 | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | (567) all_56_3 = e2 & op(e2, e2) = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | ALPHA: (567) implies:
% 242.35/47.47 | | | | | | | | | | | | | | | | | (568) all_56_3 = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | (569) op(e2, e2) = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (570) ~ (all_24_2 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | REDUCE: (323), (570) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (571) ~ (all_10_2 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (164), (165), (168), (169), (170),
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (204), (241), (282), (346), (348), (350), (378),
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (384), (543), (550), (561), (562), (569), (571),
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.47 | | | | | | | | | | | | | | | | | | #3071.
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (572) all_24_2 = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (573) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 242.35/47.47 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 242.35/47.47 | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (572) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (574) all_10_2 = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | SIMP: (574) implies:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (575) all_10_2 = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (575) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (576) all_32_2 = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | REDUCE: (344), (575) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (577) ~ (all_52_3 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | REDUCE: (346), (575) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (578) ~ (all_52_4 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | REDUCE: (350), (575) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (579) ~ (all_52_12 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | REDUCE: (45), (575) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | (580) op(e3, e3) = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | (581) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (562), (579), (581),
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | #3451.
% 242.35/47.47 | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | (582) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (582) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | (583) all_56_11 = e2 & op(e1, e0) = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (583) implies:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | (584) op(e1, e0) = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | (585) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (560), (577), (585),
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | #3069.
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | (586) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (586) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | (587) all_56_14 = e2 & op(e0, e1) = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (587) implies:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | (588) all_56_14 = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | (589) op(e0, e1) = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (589) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | (590) all_52_11 = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (584) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | (591) all_52_14 = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (590) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | (592) ~ (all_52_8 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (591) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | (593) ~ (all_6_2 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | SIMP: (593) implies:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | (594) ~ (all_6_2 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | (595) all_54_10 = e3
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (595) are inconsistent by sub-proof
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | #3450.
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | (596) ~ (all_54_10 = e3)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | (597) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | (598) ~ (all_34_2 = e1)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (598) imply:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | (599) $false
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (599) is inconsistent.
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | (600) ( ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (535) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | (601) ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0 &
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (601) implies:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | (602) op(e0, e1) = all_20_1
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | (603) op(e0, all_20_1) = all_20_0
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (604) all_54_10 = e2
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (594), (604) are inconsistent by sub-proof
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | #3449.
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (605) ~ (all_54_10 = e2)
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (606) all_54_10 = e1 | all_54_10 = e0
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (606) gives:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) all_54_10 = e1
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (607) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) all_6_2 = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (608) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) all_6_2 = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (609) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) ~ (all_52_2 = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (609) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) ~ (all_52_6 = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (609) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) ~ (e3 = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (613) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) all_56_2 = e1 & op(e2, e3) = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (614) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) all_56_2 = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (616) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) all_56_0 = e1 & op(e3, e3) = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (617) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) op(e3, e3) = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (580), (618), (function-axioms) are
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) all_56_1 = e1 & op(e3, e2) = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (619) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) op(e3, e2) = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_20_1,
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (589), (602) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) all_20_1 = e2
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (620) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) all_52_4 = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (622) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) ~ (all_52_7 = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (622) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) ~ (all_52_8 = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (624) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) ~ (all_52_8 = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (621) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) op(e0, e2) = all_20_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) ~ (all_32_2 = e2)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (627) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) $false
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (628) is inconsistent.
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (600) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (630) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) ~ (all_34_0 = e3)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) op(e0, e1) = all_34_1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) op(e0, all_34_1) = all_34_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (573) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0 &
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (634) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) ~ (all_24_0 = e0)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) op(e3, e2) = all_24_1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) op(e3, all_24_1) = all_24_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (589), (632) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) all_34_1 = e2
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e2, e0, simplifying with (158), (626)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) all_52_7 = all_20_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_24_1,
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (620), (636) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) all_24_1 = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (639) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) all_54_13 = all_20_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (639) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) ~ (all_52_3 = all_20_0)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (639) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) ~ (all_20_0 = e2)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (639) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) ~ (all_20_0 = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (640) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) op(e3, e1) = all_24_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (638) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) op(e0, e2) = all_34_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_0,
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e2, e0, simplifying with (626), (646)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) all_34_0 = all_20_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e1, e3, simplifying with (169), (645)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_52_8 = all_24_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (648) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) all_54_2 = all_24_0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (648) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) ~ (all_52_12 = all_24_0)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (650) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) ~ (all_52_12 = all_24_0)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (648) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) ~ (all_24_0 = e2)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (648) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) ~ (all_24_0 = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (647) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) ~ (all_20_0 = e3)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) all_54_13 = e3
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (654), (655) are inconsistent by sub-proof
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3068.
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (656) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) all_54_13 = e2
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (643), (657) are inconsistent by sub-proof
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3067.
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) all_54_13 = e1 | all_54_13 = e0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (658) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_54_13 = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (644), (659) are inconsistent by sub-proof
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3066.
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) all_54_13 = e0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (660) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_20_0 = e0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (661) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) all_20_0 = e0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (642), (662) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) ~ (all_52_3 = e0)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) all_54_2 = e3
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (664) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_24_0 = e3
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (665) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) all_24_0 = e3
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (666) imply:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) ~ (all_52_12 = e3)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (159), (160), (162), (163), (164), (167),
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (194), (241), (338), (352), (363), (370),
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (386), (559), (562), (569), (594), (663),
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667), (function-axioms) are inconsistent by
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3065.
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (635), (649), (652), (653), (668) are inconsistent
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3064.
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (620), (629), (669), (function-axioms) are
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3062.
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (670) implies:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) ~ (all_34_1 = e2)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) op(e0, e1) = all_34_1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (589), (671), (672), (function-axioms) are
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3061.
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 242.35/47.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (160),
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (168), (214), (217), (218), (219),
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (376), (382),
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542), (543), (568), (588), (610), (611), (615),
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673), (function-axioms) are inconsistent by
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3035.
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) all_56_3 = e1 & op(e2, e2) = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (674) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) op(e2, e2) = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (569), (675), (function-axioms) are
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (159),
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (214), (217), (219), (220),
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (231), (376), (382),
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539), (543), (568), (569), (580), (588), (610),
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611), (676), (function-axioms) are inconsistent
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3021.
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_54_10 = e0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (386), (677) are inconsistent by sub-proof
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3436.
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | (678) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (678) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | (679) op(e0, e1) = all_20_1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (680) all_54_10 = e2
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (594), (680) are inconsistent by sub-proof
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | #3449.
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (681) ~ (all_54_10 = e2)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (682) all_54_10 = e1 | all_54_10 = e0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (682) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) all_54_10 = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (683) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) all_6_2 = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (684) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) all_6_2 = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (685) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) ~ (all_52_2 = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (685) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) ~ (all_52_6 = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (685) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) ~ (e3 = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (685) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) op(e1, e1) = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (690) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) all_56_2 = e1 & op(e2, e3) = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (691) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) all_56_2 = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) op(e2, e3) = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (694) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) all_56_0 = e1 & op(e3, e3) = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) op(e3, e3) = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (580), (696), (function-axioms) are
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) all_56_1 = e1 & op(e3, e2) = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) op(e3, e2) = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_20_1,
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (589), (679) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) all_20_1 = e2
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (693) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) all_52_1 = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (698) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) all_52_4 = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (700) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) ~ (all_52_2 = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (701) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) ~ (all_52_6 = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (701) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) ~ (all_52_7 = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (701) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) ~ (all_52_8 = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (705) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) ~ (all_52_8 = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) ~ (all_32_2 = e2)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (707) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) $false
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (708) is inconsistent.
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (600) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (710) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) ~ (all_34_0 = e3)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) op(e0, e1) = all_34_1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) op(e0, all_34_1) = all_34_0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (573) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0 &
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (714) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) ~ (all_24_0 = e0)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) op(e3, e2) = all_24_1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) op(e3, all_24_1) = all_24_0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (589), (712) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) all_34_1 = e2
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_24_1,
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (698), (716) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) all_24_1 = e1
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (719) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) op(e3, e1) = all_24_0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (718) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) op(e0, e2) = all_34_0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e2, e0, simplifying with (158), (721)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) all_52_7 = all_34_0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e1, e3, simplifying with (169), (720)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) all_52_8 = all_24_0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (722) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) all_54_13 = all_34_0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (723) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) all_54_2 = all_24_0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (722) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) ~ (all_52_3 = all_34_0)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (722) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) ~ (all_34_0 = e2)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (722) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) ~ (all_34_0 = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (723) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) ~ (all_52_12 = all_24_0)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (729) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) ~ (all_52_12 = all_24_0)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (723) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) ~ (all_24_0 = e2)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (723) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) ~ (all_24_0 = e1)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) all_54_13 = e3
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (711), (724), (733) are inconsistent by sub-proof
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3020.
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (734) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) all_54_13 = e2
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (727), (735) are inconsistent by sub-proof
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3019.
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) all_54_13 = e1 | all_54_13 = e0
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) all_54_2 = e3
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (725), (737) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) all_24_0 = e3
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (738) implies:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) all_24_0 = e3
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (739) imply:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) ~ (all_52_12 = e3)
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (741) gives:
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (686), (693), (742), (function-axioms)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3018.
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (580), (687), (743), (function-axioms) are
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3404.
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (744) gives:
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (561), (689), (745), (function-axioms) are
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3017.
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (746) gives:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (747) implies:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) op(e3, e0) = e3
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (740), (748), (function-axioms) are
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (749) gives:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (750) implies:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) op(e2, e0) = e2
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (562), (751), (function-axioms) are
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (752) implies:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) op(e0, e0) = all_57_31
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (754) gives:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (755) gives:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3) =
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (756) implies:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) op(e0, e3) = e0
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (724), (726), (728), (736), (757),
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3015.
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) & op(e2,
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (758) implies:
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) ~ (all_57_11 = e2)
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) op(e2, e2) = all_57_11
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (569), (759), (760), (function-axioms) are
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3468.
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) & op(e1,
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_5 & op(e1, e2) = all_57_13 &
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13)
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_29)) | (all_57_29 =
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e3) & ~ (all_57_15 = e2) &
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 & op(e0,
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_21) &
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (543), (550), (753), (761),
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3072.
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (715), (725), (731), (732), (762) are inconsistent
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3064.
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (709), (763), (function-axioms) are
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3062.
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (764) implies:
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) ~ (all_34_1 = e2)
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) op(e0, e1) = all_34_1
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (589), (765), (766), (function-axioms) are
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3061.
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (160),
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (168), (214), (217), (218), (219),
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (376), (382),
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542), (543), (568), (588), (686), (687), (692),
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767), (function-axioms) are inconsistent by
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3035.
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) all_56_3 = e1 & op(e2, e2) = e1
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (768) implies:
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) op(e2, e2) = e1
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (569), (769), (function-axioms) are
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (159),
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (214), (217), (219), (220),
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (231), (376), (382),
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539), (543), (568), (569), (580), (588), (686),
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687), (770), (function-axioms) are inconsistent
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3021.
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.35/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_54_10 = e0
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (386), (771) are inconsistent by sub-proof
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3436.
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | (772) all_56_15 = e2 & op(e0, e0) = e2
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (772) implies:
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | (773) all_56_15 = e2
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (549), (773) are inconsistent by sub-proof
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | | #3014.
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | (774) all_56_15 = e2 & op(e0, e0) = e2
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | ALPHA: (774) implies:
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | (775) all_56_15 = e2
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (549), (775) are inconsistent by sub-proof
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | | #3014.
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | Case 2:
% 242.66/47.52 | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | (776) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 242.66/47.52 | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.66/47.52 | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (561), (562), (776),
% 242.66/47.52 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.66/47.52 | | | | | | | | | | | | | | | | #3013.
% 242.66/47.52 | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | Case 2:
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | (777) all_54_5 = e1 | all_54_5 = e0
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | REF_CLOSE: (271), (382), (552), (777) are inconsistent by
% 242.66/47.52 | | | | | | | | | | | | | | | sub-proof #3433.
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | End of split
% 242.66/47.52 | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | Case 2:
% 242.66/47.52 | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | (778) all_22_2 = e1
% 242.66/47.52 | | | | | | | | | | | | | (779) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 242.66/47.52 | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 242.66/47.52 | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 242.66/47.52 | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 242.66/47.52 | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | COMBINE_EQS: (326), (778) imply:
% 242.66/47.52 | | | | | | | | | | | | | (780) all_8_2 = e1
% 242.66/47.52 | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | COMBINE_EQS: (313), (780) imply:
% 242.66/47.52 | | | | | | | | | | | | | (781) all_30_2 = e1
% 242.66/47.52 | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | REDUCE: (356), (780) imply:
% 242.66/47.52 | | | | | | | | | | | | | (782) ~ (all_52_6 = e1)
% 242.66/47.52 | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | REDUCE: (362), (780) imply:
% 242.66/47.52 | | | | | | | | | | | | | (783) ~ (all_52_13 = e1)
% 242.66/47.52 | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | REDUCE: (377), (780) imply:
% 242.66/47.52 | | | | | | | | | | | | | (784) ~ (e3 = e1)
% 242.66/47.52 | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | REDUCE: (42), (780) imply:
% 242.66/47.52 | | | | | | | | | | | | | (785) op(e2, e2) = e1
% 242.66/47.52 | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | BETA: splitting (226) gives:
% 242.66/47.52 | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | Case 1:
% 242.66/47.52 | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | (786) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 242.66/47.52 | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.66/47.52 | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | BETA: splitting (786) gives:
% 242.66/47.52 | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | Case 1:
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | (787) all_56_1 = e1 & op(e3, e2) = e1
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | ALPHA: (787) implies:
% 242.66/47.52 | | | | | | | | | | | | | | | (788) all_56_1 = e1
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (225), (227),
% 242.66/47.52 | | | | | | | | | | | | | | | (228), (382), (785), (788), (function-axioms) are
% 242.66/47.52 | | | | | | | | | | | | | | | inconsistent by sub-proof #3412.
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | Case 2:
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | (789) all_56_3 = e1 & op(e2, e2) = e1
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | ALPHA: (789) implies:
% 242.66/47.52 | | | | | | | | | | | | | | | (790) all_56_3 = e1
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 242.66/47.52 | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | Case 1:
% 242.66/47.52 | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | (791) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 242.66/47.52 | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 242.66/47.52 | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | BETA: splitting (791) gives:
% 242.66/47.52 | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.52 | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | (792) all_56_0 = e1 & op(e3, e3) = e1
% 242.66/47.52 | | | | | | | | | | | | | | | | |
% 242.66/47.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (378), (792), (function-axioms) are
% 242.66/47.53 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3012.
% 242.66/47.53 | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.53 | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | (793) all_56_2 = e1 & op(e2, e3) = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (221), (223),
% 242.66/47.53 | | | | | | | | | | | | | | | | | (224), (382), (785), (793), (function-axioms) are
% 242.66/47.53 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3009.
% 242.66/47.53 | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | End of split
% 242.66/47.53 | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | Case 2:
% 242.66/47.53 | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | (794) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 242.66/47.53 | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | BETA: splitting (794) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | (795) all_56_6 = e1 & op(e1, e3) = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | ALPHA: (795) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | (796) all_56_6 = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | (797) op(e1, e3) = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | (798) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | BETA: splitting (798) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (799) all_56_0 = e1 & op(e3, e3) = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | ALPHA: (799) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (800) op(e3, e3) = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e1,
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (45), (800) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (801) all_10_2 = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REDUCE: (378), (801) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (802) $false
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | CLOSE: (802) is inconsistent.
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (803) all_56_1 = e1 & op(e3, e2) = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | ALPHA: (803) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (804) all_56_1 = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (225), (227),
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (228), (382), (785), (804), (function-axioms) are
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3412.
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.53 | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.53 | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | (805) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | BETA: splitting (805) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (806) all_56_4 = e1 & op(e3, e1) = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | ALPHA: (806) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (807) all_56_4 = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (808) op(e3, e1) = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (797) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (809) all_52_2 = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (808) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (810) all_52_8 = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REDUCE: (149), (809) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (811) ~ (all_52_1 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REDUCE: (144), (809) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (812) ~ (all_52_3 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REDUCE: (143), (809) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (813) ~ (all_52_6 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REDUCE: (141), (809) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (814) ~ (all_52_14 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (810) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (815) ~ (all_52_4 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REDUCE: (123), (810) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (816) ~ (all_52_9 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | SIMP: (816) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (817) ~ (all_52_9 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REDUCE: (121), (810) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (818) ~ (all_52_11 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REDUCE: (348), (810) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (819) ~ (all_10_2 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | REDUCE: (365), (810) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (820) ~ (all_6_2 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | SIMP: (820) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | (821) ~ (all_6_2 = e1)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | (822) all_54_10 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (822) are inconsistent by sub-proof
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | #3450.
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | (823) ~ (all_54_10 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | (824) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (824) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | (825) all_54_10 = e2
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (825) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | (826) all_6_2 = e2
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | SIMP: (826) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | (827) all_6_2 = e2
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (827) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | (828) ~ (all_52_6 = e2)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (827) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | (829) ~ (all_52_9 = e2)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (827) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | (830) ~ (all_52_11 = e2)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (827) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | (831) ~ (e3 = e2)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (827) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | (832) op(e1, e1) = e2
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | (833) ~ (all_24_2 = e2)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (833) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | (834) ~ (all_10_2 = e2)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | (835) all_54_0 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (835) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | (836) all_10_2 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (836) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | (837) all_10_2 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (837) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | (838) ~ (all_52_1 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (837) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | (839) ~ (all_52_3 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (837) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | (840) ~ (all_52_4 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (837) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | (841) ~ (all_52_12 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | (842) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (842) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_56_0 = e3 & op(e3, e3) = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (843) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_56_0 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | (845) op(e3, e3) = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (846) all_54_6 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (846) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (847) all_52_9 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (847) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (848) all_52_9 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (848) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (849) ~ (all_52_11 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (849) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (850) ~ (all_52_11 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (848) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (851) ~ (all_52_13 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (851) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (852) ~ (all_52_13 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (848) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (853) op(e2, e1) = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) all_54_14 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (850), (854) are inconsistent by sub-proof
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3151.
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) ~ (all_54_14 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (856) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) all_54_14 = e2
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (830), (857) are inconsistent by sub-proof
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3150.
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) ~ (all_54_14 = e2)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) all_54_14 = e1 | all_54_14 = e0
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (859) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) all_54_14 = e1
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (541), (860) are inconsistent by sub-proof
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3008.
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_54_14 = e0
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (861) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) all_52_11 = e0
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (862) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) all_52_11 = e0
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (863) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) ~ (all_52_3 = e0)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (863) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) ~ (all_52_7 = e0)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (850), (863) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) ~ (e3 = e0)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (863) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) ~ (e2 = e0)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (863) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) ~ (e1 = e0)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (841), (852), (869),
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3006.
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (870) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) all_56_11 = e3 & op(e1, e0) = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (871) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) all_56_11 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) op(e1, e0) = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) all_54_12 = e3
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (839), (874) are inconsistent by sub-proof
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3005.
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) ~ (all_54_12 = e3)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (876) gives:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) all_54_12 = e2
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (877) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) all_52_3 = e2
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (878) implies:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) all_52_3 = e2
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (879) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) ~ (all_52_1 = e2)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (879) imply:
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) ~ (all_52_7 = e2)
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (881) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) ~ (all_52_7 = e2)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) all_54_4 = e3
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (838), (883) are inconsistent by sub-proof
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3359.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (884) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) all_54_4 = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (880), (885) are inconsistent by sub-proof
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3355.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) ~ (all_54_4 = e2)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) all_54_4 = e1 | all_54_4 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (785), (880), (888), (function-axioms)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3004.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (889) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_56_5 = e2 & op(e2, e1) = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (890) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) op(e2, e1) = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (853), (891), (function-axioms) are
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3382.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) all_56_10 = e2 & op(e2, e0) = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (892) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) op(e2, e0) = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (894) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (895) all_56_1 = e2 & op(e3, e2) = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (895) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) all_56_1 = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (897) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_56_12 = e2 & op(e0, e3) = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (898) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) all_56_12 = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (900) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) all_56_12 = e3 & op(e0, e3) = e3
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (901) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) all_56_12 = e3
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (140), (158),
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (217), (218), (220), (252), (376), (539),
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549), (832), (864), (876), (902),
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2998.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) all_56_13 = e3 & op(e0, e2) = e3
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (903) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) all_56_13 = e3
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (905) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) all_56_0 = e0 & op(e3, e3) = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (906) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) op(e3, e3) = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (236), (807), (841), (896),
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907), (function-axioms) are inconsistent by
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2995.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) all_56_1 = e0 & op(e3, e2) = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (908) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_56_1 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (896), (909) imply:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) e2 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (899), (910) imply:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) all_56_12 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (897) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (899), (911) are inconsistent by sub-proof
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3279.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) all_56_13 = e2 & op(e0, e2) = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (225), (226), (228), (376), (785), (796),
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832), (896), (912), (function-axioms) are
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2983.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (913) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) all_56_14 = e2 & op(e0, e1) = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (914) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) all_56_14 = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (832), (915), (function-axioms) are
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3098.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) all_56_15 = e2 & op(e0, e0) = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (916) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) all_56_15 = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (225), (227),
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382), (549), (785), (896), (904), (917),
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2982.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (918) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) all_56_4 = e0 & op(e3, e1) = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (807), (919) are inconsistent by sub-proof
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2981.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) all_56_9 = e0 & op(e3, e0) = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (920) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) op(e3, e0) = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) all_54_13 = e3
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (922) imply:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) all_52_7 = e3
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (923) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) all_52_7 = e3
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (924) imply:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) ~ (all_52_6 = e3)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) all_54_9 = e3
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (925), (926) are inconsistent by sub-proof
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2980.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (927) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_54_9 = e2
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (828), (928) are inconsistent by sub-proof
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2979.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) all_54_9 = e1 | all_54_9 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (929) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_54_9 = e1
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (782), (930) are inconsistent by sub-proof
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2978.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) all_54_9 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (931) imply:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) all_52_6 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (932) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) all_52_6 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (933) imply:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) ~ (all_52_4 = e0)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_54_1 = e3
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (840), (935) are inconsistent by sub-proof
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2977.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) ~ (all_54_1 = e3)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) (all_57_24 = all_57_25 & op(all_57_25, e3) =
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e3, e0) = all_57_25 &
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_26 = all_57_27 &
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_27, e2) = all_57_27 & op(e2, e0) =
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & $i(all_57_27))
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (938) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) all_57_24 = all_57_25 & op(all_57_25, e3) =
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e3, e0) = all_57_25 & $i(all_57_25)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (939) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) op(e3, e0) = all_57_25
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) op(all_57_25, e3) = all_57_25
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (275), (815), (864), (921), (934), (937),
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940), (941), (function-axioms) are inconsistent
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2973.
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) all_57_26 = all_57_27 & op(all_57_27, e2) =
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e2, e0) = all_57_27 & $i(all_57_27)
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (942) implies:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) op(all_57_27, e2) = all_57_27
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (944) gives:
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (845), (945), (function-axioms) are inconsistent
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3470.
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (170), (782), (840), (946),
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3410.
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (947) gives:
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (123), (146), (169), (198), (264), (272),
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811), (817), (829), (853), (887), (948),
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2970.
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (949) gives:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (950) implies:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) op(e3, e0) = e3
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (841), (951), (function-axioms) are
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (952) gives:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (953) implies:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) all_57_27 = e2
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (943), (954) imply:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) op(e2, e2) = e2
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (785), (955), (function-axioms) are
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (160), (543), (550), (864), (865),
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956), (function-axioms) are inconsistent by
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2969.
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) (all_57_28 = all_57_29 & op(all_57_29, e1) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e1, e0) = all_57_29 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_30 = all_57_31 &
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_31, e0) = all_57_31 & op(e0, e0) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (957) gives:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) all_57_28 = all_57_29 & op(all_57_29, e1) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e1, e0) = all_57_29 & $i(all_57_29)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (958) implies:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) op(e1, e0) = all_57_29
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) op(all_57_29, e1) = all_57_29
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (937) gives:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (873), (959)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) all_57_29 = e3
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (960), (961) imply:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) op(e3, e1) = e3
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (146), (169), (198), (264), (272), (811),
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817), (829), (887), (962), (function-axioms) are
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2971.
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_54_1 = e1 | all_54_1 = e0
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (815), (934), (963) are inconsistent by
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2974.
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_57_30 = all_57_31 & op(all_57_31, e0) =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & op(e0, e0) = all_57_31 & $i(all_57_31)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (964) implies:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) op(e0, e0) = all_57_31
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) op(all_57_31, e0) = all_57_31
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (937) gives:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (550), (965)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) all_57_31 = e1
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (966), (967) imply:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) op(e1, e0) = e1
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (543), (968), (function-axioms) are
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) all_54_1 = e1 | all_54_1 = e0
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (815), (934), (969) are inconsistent by
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2974.
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (540), (865), (882), (970) are inconsistent
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2964.
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (971) gives:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) all_56_14 = e3 & op(e0, e1) = e3
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (972) implies:
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_56_14 = e3
% 242.66/47.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (974) gives:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) all_56_2 = e3 & op(e2, e3) = e3
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (975) implies:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) all_56_2 = e3
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (221), (222),
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (382), (790), (796), (845),
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893), (899), (976), (function-axioms) are
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2962.
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) all_56_3 = e3 & op(e2, e2) = e3
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (977) implies:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) op(e2, e2) = e3
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (785), (978), (function-axioms) are
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (979) gives:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) all_56_5 = e3 & op(e2, e1) = e3
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (217),
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (236), (840), (841), (844), (973),
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980), (function-axioms) are inconsistent by
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2956.
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) all_56_10 = e3 & op(e2, e0) = e3
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (852), (981), (function-axioms) are
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) all_56_15 = e3 & op(e0, e0) = e3
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (982) implies:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) all_56_15 = e3
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (211),
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872), (983) are inconsistent by sub-proof #3178.
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.66/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) all_56_13 = e2 & op(e0, e2) = e2
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (225), (226), (228), (376), (785), (796),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832), (896), (984), (function-axioms) are
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2983.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (985) gives:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_56_14 = e2 & op(e0, e1) = e2
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (986) implies:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_56_14 = e2
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (832), (987), (function-axioms) are
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3098.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) all_56_15 = e2 & op(e0, e0) = e2
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (988) implies:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) all_56_15 = e2
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (989) imply:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) e2 = e1
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (225), (227),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (382), (785), (896), (990),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2955.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) all_56_3 = e2 & op(e2, e2) = e2
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (991) implies:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) op(e2, e2) = e2
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (785), (992), (function-axioms) are
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (213),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (376), (832), (882), (993),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2954.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) all_54_12 = e1 | all_54_12 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (539), (864), (994) are inconsistent by
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3002.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) all_56_15 = e3 & op(e0, e0) = e3
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (995) implies:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) all_56_15 = e3
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) op(e0, e0) = e3
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (42), (76), (91), (110),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (113), (117), (118), (121), (123), (125), (136),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (143), (144), (145), (146), (148), (158),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (194), (197), (200),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (204), (206), (207), (208), (210), (211),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (239), (241), (250), (263), (272), (274),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (336), (338), (344), (346), (348), (350),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352), (365), (366), (368), (370), (376), (378),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382), (384), (386), (779), (781), (782), (783),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785), (790), (811), (817), (834), (996), (997),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2885.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (998) ~ (all_54_6 = e3)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (999) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (998) imply:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) ~ (all_52_9 = e3)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1001) gives:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) all_56_4 = e3 & op(e3, e1) = e3
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1002) implies:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) op(e3, e1) = e3
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (808), (1003), (function-axioms) are
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3060.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) all_56_5 = e3 & op(e2, e1) = e3
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1004) implies:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) all_56_5 = e3
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) op(e2, e1) = e3
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (999) gives:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_54_6 = e2
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (829), (1007) are inconsistent by sub-proof
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3130.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) ~ (all_54_6 = e2)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) all_54_6 = e1 | all_54_6 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1009) gives:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) all_54_6 = e1
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (817), (1010) are inconsistent by sub-proof
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3129.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) all_54_6 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (1011) imply:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) all_52_9 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1012) implies:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) all_52_9 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1013) imply:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) ~ (all_52_11 = e0)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1014) implies:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) ~ (all_52_11 = e0)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1000), (1013) imply:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) ~ (e3 = e0)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (1013) imply:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) ~ (e2 = e0)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (817), (1013) imply:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) ~ (e1 = e0)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1019) gives:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_56_2 = e0 & op(e2, e3) = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1020) implies:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_56_2 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1022) gives:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_56_4 = e0 & op(e3, e1) = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1023) implies:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_56_4 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (1024) imply:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) e1 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (1025) imply:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) all_56_3 = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (1005),
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021), (1026) are inconsistent by sub-proof
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3388.
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) all_56_5 = e0 & op(e2, e1) = e0
% 242.87/47.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1005), (1027) are inconsistent by sub-proof
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3386.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (832), (1015), (1028),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3298.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_56_3 = e0 & op(e2, e2) = e0
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (382), (1029), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1030) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_56_5 = e0 & op(e2, e1) = e0
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1005), (1031) are inconsistent by sub-proof
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3386.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_56_10 = e0 & op(e2, e0) = e0
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1032) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) op(e2, e0) = e0
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1034) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_56_2 = e2 & op(e2, e3) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1035) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) all_56_2 = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (145), (146),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (165), (168), (170), (200), (208),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (229), (241), (264), (272),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (543), (549), (550), (796), (808), (811),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817), (829), (832), (838), (840), (841), (845),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999), (1000), (1036), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2875.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_56_3 = e2 & op(e2, e2) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1037) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) op(e2, e2) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (785), (1038), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1006), (1033), (1039),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3380.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1040) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) all_56_8 = e3 & op(e1, e1) = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (1041), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) all_56_14 = e3 & op(e0, e1) = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1042) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_56_14 = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1044) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) all_56_2 = e3 & op(e2, e3) = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1045) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) all_56_2 = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1047) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) all_56_0 = e2 & op(e3, e3) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1048) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) op(e3, e3) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (845), (1049), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3330.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_56_2 = e2 & op(e2, e3) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (832), (1043), (1046), (1050),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2874.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1051) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) all_56_6 = e2 & op(e1, e3) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (796), (1052) are inconsistent by sub-proof
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2873.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) all_56_12 = e2 & op(e0, e3) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1053) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) all_56_12 = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1055) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) all_56_2 = e2 & op(e2, e3) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (832), (1043), (1046), (1056),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2874.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_56_3 = e2 & op(e2, e2) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1057) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) op(e2, e2) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (785), (1058), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1059) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_56_5 = e2 & op(e2, e1) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1060) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) op(e2, e1) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (829), (1061), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3465.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) all_56_10 = e2 & op(e2, e0) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1062) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) op(e2, e0) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (221), (222),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (382), (790), (796), (845),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046), (1054), (1063), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2962.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) all_56_3 = e3 & op(e2, e2) = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1064) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) op(e2, e2) = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (785), (1065), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1066) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) all_56_5 = e3 & op(e2, e1) = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (217),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (236), (840), (841), (844), (1043),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067), (function-axioms) are inconsistent by
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2956.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) all_56_10 = e3 & op(e2, e0) = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1068) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) all_56_10 = e3
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1070) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) all_56_2 = e2 & op(e2, e3) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1071) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) all_56_2 = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (145), (146),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (165), (168), (170), (200), (208),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (229), (241), (264), (272),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (543), (549), (550), (796), (808), (811),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817), (829), (832), (838), (840), (841), (845),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999), (1000), (1072), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2875.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) all_56_3 = e2 & op(e2, e2) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1073) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) op(e2, e2) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (785), (1074), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1075) gives:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) all_56_5 = e2 & op(e2, e1) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1076) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) op(e2, e1) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (829), (1077), (function-axioms) are
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3465.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) all_56_10 = e2 & op(e2, e0) = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1078) implies:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) all_56_10 = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1069), (1079) imply:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) e3 = e2
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (832), (1043), (1080),
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2872.
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1081) all_56_1 = e3 & op(e3, e2) = e3
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1081) implies:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1082) op(e3, e2) = e3
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (840), (1082), (function-axioms) are
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3469.
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | (1083) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1083) gives:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1084) all_56_4 = e3 & op(e3, e1) = e3
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1084) implies:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1085) op(e3, e1) = e3
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (808), (1085), (function-axioms) are
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3060.
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1086) all_56_9 = e3 & op(e3, e0) = e3
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1086) implies:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1087) op(e3, e0) = e3
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (841), (1087), (function-axioms) are
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | (1088) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (378), (384), (834), (1088) are
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (1089) all_24_2 = e2
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (1089) imply:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (1090) all_10_2 = e2
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1090) implies:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (1091) all_10_2 = e2
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (1091) imply:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (1092) ~ (all_52_3 = e2)
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1091) imply:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (1093) ~ (all_52_12 = e2)
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1091) imply:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (1094) op(e3, e3) = e2
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (117),
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (145), (158), (159), (160), (162), (164), (165),
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (167), (168), (208), (211), (213), (214), (216),
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (225), (226), (227), (228),
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (241), (376), (382), (543), (549), (550), (782),
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (785), (796), (808), (832), (1092), (1093),
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | (1094), (function-axioms) are inconsistent by
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2867.
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | (1095) all_54_10 = e1 | all_54_10 = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (386), (821), (1095) are inconsistent by
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | | sub-proof #2866.
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | (1096) all_56_9 = e1 & op(e3, e0) = e1
% 242.87/47.59 | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (542), (1096), (function-axioms) are
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 242.87/47.59 | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | (1097) all_56_12 = e1 & op(e0, e3) = e1
% 242.87/47.59 | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (539), (1097), (function-axioms) are
% 242.87/47.59 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3077.
% 242.87/47.59 | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | (1098) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 242.87/47.59 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.87/47.59 | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (540), (782), (1098),
% 242.87/47.59 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.59 | | | | | | | | | | | | | | #3080.
% 242.87/47.59 | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | End of split
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | (1099) all_18_2 = e0
% 242.87/47.59 | | | | | | | | | (1100) ( ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0 &
% 242.87/47.59 | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 242.87/47.59 | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0) =
% 242.87/47.59 | | | | | | | | | all_18_1 & $i(all_18_1))
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | COMBINE_EQS: (328), (1099) imply:
% 242.87/47.59 | | | | | | | | | (1101) all_6_2 = e0
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | SIMP: (1101) implies:
% 242.87/47.59 | | | | | | | | | (1102) all_6_2 = e0
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | COMBINE_EQS: (320), (1102) imply:
% 242.87/47.59 | | | | | | | | | (1103) all_28_2 = e0
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | REDUCE: (352), (1102) imply:
% 242.87/47.59 | | | | | | | | | (1104) ~ (all_52_2 = e0)
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | REDUCE: (363), (1102) imply:
% 242.87/47.59 | | | | | | | | | (1105) ~ (all_52_6 = e0)
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | REDUCE: (365), (1102) imply:
% 242.87/47.59 | | | | | | | | | (1106) ~ (all_52_8 = e0)
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | REDUCE: (366), (1102) imply:
% 242.87/47.59 | | | | | | | | | (1107) ~ (all_52_9 = e0)
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | REDUCE: (368), (1102) imply:
% 242.87/47.59 | | | | | | | | | (1108) ~ (all_52_11 = e0)
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | REDUCE: (370), (1102) imply:
% 242.87/47.59 | | | | | | | | | (1109) ~ (all_52_14 = e0)
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | REDUCE: (376), (1102) imply:
% 242.87/47.59 | | | | | | | | | (1110) ~ (e3 = e0)
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | BETA: splitting (213) gives:
% 242.87/47.59 | | | | | | | | |
% 242.87/47.59 | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | (1111) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 242.87/47.59 | | | | | | | | | | & op(e1, e2) = e0)
% 242.87/47.59 | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | REF_CLOSE: (162), (163), (1104), (1105), (1111),
% 242.87/47.59 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.59 | | | | | | | | | | #2864.
% 242.87/47.59 | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | (1112) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 242.87/47.59 | | | | | | | | | | e0 & op(e1, e0) = e0)
% 242.87/47.59 | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | BETA: splitting (1112) gives:
% 242.87/47.59 | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | (1113) all_56_8 = e0 & op(e1, e1) = e0
% 242.87/47.59 | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | ALPHA: (1113) implies:
% 242.87/47.59 | | | | | | | | | | | (1114) all_56_8 = e0
% 242.87/47.59 | | | | | | | | | | | (1115) op(e1, e1) = e0
% 242.87/47.59 | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | BETA: splitting (61) gives:
% 242.87/47.59 | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | (1116) ~ (all_20_2 = e1)
% 242.87/47.59 | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | REDUCE: (322), (1116) imply:
% 242.87/47.59 | | | | | | | | | | | | (1117) ~ (all_4_2 = e1)
% 242.87/47.59 | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | BETA: splitting (189) gives:
% 242.87/47.59 | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | (1118) all_54_15 = e3
% 242.87/47.59 | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | REF_CLOSE: (249), (380), (1118) are inconsistent by sub-proof
% 242.87/47.59 | | | | | | | | | | | | | #3475.
% 242.87/47.59 | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | (1119) ~ (all_54_15 = e3)
% 242.87/47.59 | | | | | | | | | | | | | (1120) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 242.87/47.59 | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | BETA: splitting (1120) gives:
% 242.87/47.59 | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | (1121) all_54_15 = e2
% 242.87/47.59 | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (1121) are inconsistent by sub-proof
% 242.87/47.59 | | | | | | | | | | | | | | #3474.
% 242.87/47.59 | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | (1122) ~ (all_54_15 = e2)
% 242.87/47.59 | | | | | | | | | | | | | | (1123) all_54_15 = e1 | all_54_15 = e0
% 242.87/47.59 | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | BETA: splitting (1123) gives:
% 242.87/47.59 | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | (1124) all_54_15 = e1
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | REF_CLOSE: (249), (1117), (1124) are inconsistent by
% 242.87/47.59 | | | | | | | | | | | | | | | sub-proof #3473.
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | Case 2:
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | (1125) all_54_15 = e0
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | COMBINE_EQS: (249), (1125) imply:
% 242.87/47.59 | | | | | | | | | | | | | | | (1126) all_4_2 = e0
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | SIMP: (1126) implies:
% 242.87/47.59 | | | | | | | | | | | | | | | (1127) all_4_2 = e0
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | REDUCE: (353), (1127) imply:
% 242.87/47.59 | | | | | | | | | | | | | | | (1128) ~ (all_52_3 = e0)
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | REDUCE: (364), (1127) imply:
% 242.87/47.59 | | | | | | | | | | | | | | | (1129) ~ (all_52_7 = e0)
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | REDUCE: (375), (1127) imply:
% 242.87/47.59 | | | | | | | | | | | | | | | (1130) ~ (e2 = e0)
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | REDUCE: (1117), (1127) imply:
% 242.87/47.59 | | | | | | | | | | | | | | | (1131) ~ (e1 = e0)
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 242.87/47.59 | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | (1132) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 242.87/47.59 | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | BETA: splitting (1132) gives:
% 242.87/47.59 | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | (1133) all_56_1 = e0 & op(e3, e2) = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | ALPHA: (1133) implies:
% 242.87/47.59 | | | | | | | | | | | | | | | | | (1134) all_56_1 = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | (1135) op(e3, e2) = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 242.87/47.59 | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | (1136) all_56_15 = e0 & op(e0, e0) = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | ALPHA: (1136) implies:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | (1137) all_56_15 = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | | (1138) op(e0, e0) = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 242.87/47.59 | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | (1139) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 242.87/47.59 | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (1139) gives:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | (1140) all_56_2 = e0 & op(e2, e3) = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (1140) implies:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | (1141) all_56_2 = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | (1142) op(e2, e3) = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (1142) gives:
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | | (1143) all_52_1 = e0
% 242.87/47.59 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (1135) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1144) all_52_4 = e0
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1143) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1145) ~ (all_52_2 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1143) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1146) ~ (all_52_3 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1143) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1147) ~ (all_52_9 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1143) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1148) ~ (all_52_13 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | SIMP: (1148) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1149) ~ (all_52_13 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1144) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1150) ~ (all_52_6 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1144) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1151) ~ (all_52_7 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1144) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1152) ~ (all_52_8 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1144) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1153) ~ (all_52_12 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | SIMP: (1153) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1154) ~ (all_52_12 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (1144) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1155) ~ (all_10_2 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (1144) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | (1156) ~ (all_8_2 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | (1157) ~ (all_22_2 = e1)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (326), (1157) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | (1158) ~ (all_8_2 = e1)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | (1159) all_54_5 = e3
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (1159) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | (1160) all_8_2 = e3
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (1160) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | (1161) $false
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1161) is inconsistent.
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | (1162) ~ (all_54_5 = e3)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | (1163) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1163) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | (1164) all_54_5 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (1164) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | (1165) all_8_2 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (1165) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | (1166) ~ (all_52_9 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (1165) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | (1167) ~ (all_52_13 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (1165) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | (1168) ~ (e3 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | (1169) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1169) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | (1170) all_56_2 = e2 & op(e2, e3) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1170) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | (1171) all_56_2 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1141), (1171) are inconsistent by sub-proof
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | #3397.
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | (1172) all_56_3 = e2 & op(e2, e2) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1172) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | (1173) all_56_3 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | (1174) op(e2, e2) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) ~ (all_24_2 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (1175) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) ~ (all_10_2 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (158), (159), (164), (165), (169),
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (204), (241), (282), (346), (348), (378),
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (1108), (1128), (1129), (1138), (1166),
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1167), (1174), (1176), (function-axioms) are
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3453.
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) all_24_2 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (1177) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_10_2 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (1179) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_32_2 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (1179) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) ~ (all_52_3 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1179) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) ~ (all_52_12 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1179) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) op(e3, e3) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1178) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0 &
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1184) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) op(e3, e2) = all_24_1
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) op(e3, all_24_1) = all_24_0
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (1167), (1182), (1187),
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3451.
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1188) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_56_11 = e2 & op(e1, e0) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1189) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) all_56_11 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) op(e1, e0) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) ~ (all_32_2 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1180), (1192) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) $false
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1193) is inconsistent.
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1195) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_56_4 = e2 & op(e3, e1) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1196) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) all_56_4 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (1134),
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183), (1197), (function-axioms) are inconsistent
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2858.
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) all_56_5 = e2 & op(e2, e1) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1198) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) op(e2, e1) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1166), (1199), (function-axioms) are
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3465.
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1200) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_56_8 = e2 & op(e1, e1) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1201) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) op(e1, e1) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1115), (1202), (function-axioms) are
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_56_14 = e2 & op(e0, e1) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1203) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) op(e0, e1) = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (1204) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) all_52_11 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (1191) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_52_14 = e2
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_24_1,
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (1135), (1185) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_24_1 = e0
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1206) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) ~ (all_52_6 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1205) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) ~ (all_52_7 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1205) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) ~ (all_52_8 = e2)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1186), (1207) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) op(e3, e0) = all_24_0
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) ~ (all_28_2 = e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1212) imply:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) $false
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1213) is inconsistent.
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) ( ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0 &
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1215) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) ~ (all_28_0 = e3)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) op(e1, e0) = all_28_1
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) op(e1, all_28_1) = all_28_0
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1100) gives:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0 &
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1219) implies:
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) op(e1, e0) = all_18_1
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) op(e1, all_18_1) = all_18_0
% 242.87/47.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (113),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (128), (140), (144), (157), (158), (159),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (168), (169), (191), (192),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (201), (202), (210), (214), (215), (216),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (221), (222), (223), (224),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (229), (231), (236), (241),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (261), (273), (274), (376), (382),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105), (1106), (1108), (1114), (1115), (1128),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129), (1134), (1135), (1137), (1138), (1141),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154), (1167), (1173), (1174), (1178), (1181),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182), (1183), (1190), (1191), (1194), (1208),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209), (1210), (1216), (1217), (1218), (1220),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221), (function-axioms) are inconsistent by
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2826.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1222) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) ~ (all_18_1 = e3)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) op(e1, e0) = all_18_1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1194) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0 &
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1225) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) ~ (all_32_0 = e1)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) op(e3, e2) = all_32_1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) op(e3, all_32_1) = all_32_0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_28_1,
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (1191), (1217) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_28_1 = e2
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (1217), (1224)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_28_1 = all_18_1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e0, e3, simplifying with (168), (1211)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_52_12 = all_24_0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_32_1,
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (1135), (1227) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_32_1 = e0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1229), (1230) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_18_1 = e2
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (1231) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_54_3 = all_24_0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1231) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) ~ (all_52_8 = all_24_0)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1231) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) ~ (all_52_13 = all_24_0)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1236) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) ~ (all_52_13 = all_24_0)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1182), (1231) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) ~ (all_24_0 = e2)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1154), (1231) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) ~ (all_24_0 = e0)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1228), (1232) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) op(e3, e0) = all_32_0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1218), (1229) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) op(e1, e2) = all_28_0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_0, e2, e1, simplifying with (162), (1241)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) all_52_6 = all_28_0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_0,
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0, e0, e3, simplifying with (1211), (1240)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_32_0 = all_24_0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1242) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_54_9 = all_28_0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1242) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) ~ (all_52_7 = all_28_0)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1245) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) ~ (all_52_7 = all_28_0)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1208), (1242) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) ~ (all_28_0 = e2)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1105), (1242) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) ~ (all_28_0 = e0)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1226), (1243) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) ~ (all_24_0 = e1)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1250) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_56_6 = e3 & op(e1, e3) = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1251) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_56_6 = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_54_9 = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1244), (1253) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) all_28_0 = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1216), (1254) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) $false
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1255) is inconsistent.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (1141), (1183), (1257),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2824.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1258) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) all_56_6 = e1 & op(e1, e3) = e1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1259) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_56_6 = e1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1252), (1260) are inconsistent by sub-proof
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3244.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_56_12 = e1 & op(e0, e3) = e1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1261) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_56_12 = e1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_54_3 = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1234), (1263) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_24_0 = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1264) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_24_0 = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1235), (1265) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) ~ (all_52_8 = e3)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1237), (1265) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) ~ (all_52_13 = e3)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_54_2 = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (1266), (1268) are inconsistent by
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2837.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) ~ (all_54_2 = e3)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (229), (1174), (1183), (1252),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262), (1271), (function-axioms) are inconsistent
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2840.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1272) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_56_5 = e3 & op(e2, e1) = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1273) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) op(e2, e1) = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1256) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_54_9 = e2
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1244), (1247), (1275) are inconsistent by
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2823.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_54_9 = e1 | all_54_9 = e0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (144), (157), (158), (159), (163), (164),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (191), (192), (241), (251), (252), (274),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106), (1108), (1128), (1129), (1138), (1167),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174), (1181), (1183), (1209), (1210), (1244),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246), (1248), (1266), (1270), (1274), (1276),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2821.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_56_10 = e3 & op(e2, e0) = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1267), (1277), (function-axioms) are
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1278) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_54_3 = e2
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1234), (1279) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_24_0 = e2
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1238), (1280) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) $false
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1281) is inconsistent.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_54_3 = e1 | all_54_3 = e0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1282) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_54_3 = e1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1234), (1283) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_24_0 = e1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1249), (1284) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) $false
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1285) is inconsistent.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_54_3 = e0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1234), (1286) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_24_0 = e0
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1239), (1287) imply:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) $false
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1288) is inconsistent.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_56_7 = e3 & op(e1, e2) = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (195), (1216), (1241), (1244), (1247), (1248),
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289), (function-axioms) are inconsistent by
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2818.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1290) gives:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_56_8 = e3 & op(e1, e1) = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (1291), (function-axioms) are
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_56_11 = e3 & op(e1, e0) = e3
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1190), (1292) are inconsistent by sub-proof
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3111.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1293) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) ~ (all_32_1 = e0)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) op(e3, e2) = all_32_1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1135), (1178), (1294), (1295), (function-axioms)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2827.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1296) implies:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) ~ (all_28_1 = e2)
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) op(e1, e0) = all_28_1
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1191), (1297), (1298), (function-axioms) are
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2817.
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_56_15 = e2 & op(e0, e0) = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1299) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_56_15 = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1137), (1300) are inconsistent by sub-proof
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3434.
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1301) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) ~ (all_24_1 = e1)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) op(e3, e2) = all_24_1
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (1167), (1182), (1304),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3451.
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1305) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_56_11 = e2 & op(e1, e0) = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1306) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_56_11 = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) op(e1, e0) = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) ~ (all_32_2 = e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1180), (1309) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) $false
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1310) is inconsistent.
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1312) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_56_12 = e2 & op(e0, e3) = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1181), (1313), (function-axioms) are
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_56_13 = e2 & op(e0, e2) = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1314) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_56_13 = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (1134),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174), (1315), (function-axioms) are inconsistent
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2830.
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1316) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_56_14 = e2 & op(e0, e1) = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1317) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) op(e0, e1) = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (1318) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_52_11 = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (1308) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_52_14 = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_24_1,
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (1135), (1303) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_24_1 = e0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1320) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) ~ (all_52_6 = e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1319) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) ~ (all_52_7 = e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1319) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) ~ (all_52_8 = e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) ~ (all_28_2 = e0)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1325) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) $false
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1326) is inconsistent.
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) ( ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1327) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0 &
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1328) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) ~ (all_28_0 = e3)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) op(e1, e0) = all_28_1
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) op(e1, all_28_1) = all_28_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1100) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0 &
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1332) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) op(e1, e0) = all_18_1
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) op(e1, all_18_1) = all_18_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (113),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (128), (140), (144), (157), (158), (159),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (168), (169), (191), (192),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (201), (202), (210), (214), (215), (216),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (221), (222), (223), (224),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (229), (231), (236), (241),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (261), (273), (274), (376), (382),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105), (1106), (1108), (1114), (1115), (1128),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129), (1134), (1135), (1137), (1138), (1141),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154), (1167), (1173), (1174), (1178), (1181),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182), (1183), (1307), (1308), (1311), (1322),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323), (1324), (1329), (1330), (1331), (1333),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334), (function-axioms) are inconsistent by
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2826.
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1335) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) ~ (all_18_1 = e3)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) op(e1, e0) = all_18_1
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1311) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0 &
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1338) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) ~ (all_32_0 = e1)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) op(e3, e2) = all_32_1
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) op(e3, all_32_1) = all_32_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_28_1,
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (1308), (1330) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_28_1 = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (1330), (1337)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_28_1 = all_18_1
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_32_1,
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (1135), (1340) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_32_1 = e0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1342), (1343) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_18_1 = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1345) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_18_1 = e2
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1341), (1344) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) op(e3, e0) = all_32_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1331), (1342) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) op(e1, e2) = all_28_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_0, e2, e1, simplifying with (162), (1348)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_52_6 = all_28_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0, e0, e3, simplifying with (168), (1347)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_52_12 = all_32_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1349) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_54_9 = all_28_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (1350) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_54_3 = all_32_0
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1349) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) ~ (all_52_7 = all_28_0)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1353) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) ~ (all_52_7 = all_28_0)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1322), (1349) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) ~ (all_28_0 = e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1105), (1349) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) ~ (all_28_0 = e0)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1350) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) ~ (all_52_8 = all_32_0)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1350) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) ~ (all_52_13 = all_32_0)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1358) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) ~ (all_52_13 = all_32_0)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1182), (1350) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) ~ (all_32_0 = e2)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1154), (1350) imply:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) ~ (all_32_0 = e0)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (1134), (1174), (1362),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2857.
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1363) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_56_7 = e3 & op(e1, e2) = e3
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (195), (1329), (1348), (1351), (1355), (1356),
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364), (function-axioms) are inconsistent by
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2818.
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_56_13 = e3 & op(e0, e2) = e3
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1365) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_56_13 = e3
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1367) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_56_6 = e3 & op(e1, e3) = e3
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1368) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_56_6 = e3
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1370) gives:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_56_9 = e1 & op(e3, e0) = e1
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1371) implies:
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_56_9 = e1
% 242.87/47.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (164), (201),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (218), (219), (224), (225),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (229), (231), (236), (382), (1114), (1115),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134), (1141), (1174), (1183), (1339), (1352),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359), (1360), (1361), (1366), (1369), (1372),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2839.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_56_10 = e1 & op(e2, e0) = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1373) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_56_10 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (221), (222),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (382), (1173), (1174), (1183),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374), (1375), (function-axioms) are inconsistent
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2838.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1376) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_56_6 = e1 & op(e1, e3) = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1377) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_56_6 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1369), (1378) are inconsistent by sub-proof
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3244.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_56_12 = e1 & op(e0, e3) = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1379) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) all_56_12 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) all_54_9 = e3
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1329), (1351), (1381) are inconsistent by
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2820.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1382) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_54_9 = e2
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1351), (1355), (1383) are inconsistent by
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2823.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_54_9 = e1 | all_54_9 = e0
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_54_3 = e3
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1352), (1385) imply:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) all_32_0 = e3
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1357), (1386) imply:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) ~ (all_52_8 = e3)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1359), (1386) imply:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) ~ (all_52_13 = e3)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) all_54_2 = e3
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (1387), (1389) are inconsistent by
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2837.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) ~ (all_54_2 = e3)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (229), (1174), (1183), (1369),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380), (1392), (function-axioms) are inconsistent
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2840.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1393) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) all_56_5 = e3 & op(e2, e1) = e3
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1394) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) op(e2, e1) = e3
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (144), (157), (158), (159), (163), (164),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (191), (192), (241), (251), (252), (274),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106), (1108), (1128), (1129), (1138), (1167),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174), (1181), (1183), (1323), (1324), (1351),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354), (1356), (1384), (1387), (1391), (1395),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2821.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_56_10 = e3 & op(e2, e0) = e3
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1388), (1396), (function-axioms) are
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1339), (1352), (1360), (1361), (1397) are
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2842.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (1137), (1308), (1398),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2832.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_56_7 = e3 & op(e1, e2) = e3
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1399) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) op(e1, e2) = e3
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1401) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_56_1 = e1 & op(e3, e2) = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1402) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) op(e3, e2) = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1302), (1303), (1340), (1403), (function-axioms)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3063.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_56_3 = e1 & op(e2, e2) = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1404) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) op(e2, e2) = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1174), (1405), (function-axioms) are
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1366), (1400), (1406), (function-axioms) are
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2816.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (226), (228),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (1134), (1174), (1307), (1366), (1407),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2829.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1408) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) ~ (all_32_1 = e0)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) op(e3, e2) = all_32_1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1135), (1178), (1409), (1410), (function-axioms)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2827.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1411) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) ~ (all_28_1 = e2)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) op(e1, e0) = all_28_1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1308), (1412), (1413), (function-axioms) are
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2817.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_56_15 = e2 & op(e0, e0) = e2
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1414) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_56_15 = e2
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1137), (1415) are inconsistent by sub-proof
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3434.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) all_56_15 = e2 & op(e0, e0) = e2
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1416) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_56_15 = e2
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1137), (1417) are inconsistent by sub-proof
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3434.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | (1418) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (1166), (1167), (1418),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | #3013.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | (1419) all_54_5 = e1 | all_54_5 = e0
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (382), (1158), (1419) are inconsistent by
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3433.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | (1420) all_22_2 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (1420) imply:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | (1421) all_8_2 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | SIMP: (1421) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | (1422) all_8_2 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (1422) imply:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | (1423) ~ (all_52_6 = e1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (1422) imply:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | (1424) ~ (all_52_13 = e1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (1422) imply:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | (1425) ~ (e3 = e1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (1422) imply:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | (1426) op(e2, e2) = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | (1427) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1427) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | (1428) all_56_1 = e1 & op(e3, e2) = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1428) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | (1429) all_56_1 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (225), (227),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | (228), (382), (1426), (1429), (function-axioms)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3412.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | (1430) all_56_3 = e1 & op(e2, e2) = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1430) implies:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | (1431) all_56_3 = e1
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | (1432) ~ (all_24_2 = e2)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (1432) imply:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | (1433) ~ (all_10_2 = e2)
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (158), (159), (162), (169), (170),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | (204), (241), (282), (346), (348), (378), (384),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | (1108), (1128), (1129), (1138), (1423), (1426),
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | (1433), (function-axioms) are inconsistent by
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3406.
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.63 | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_24_2 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | (1435) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (1434) imply:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_10_2 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1436) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_10_2 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (1437) imply:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_32_2 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (1437) imply:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | (1439) ~ (all_52_2 = e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (1437) imply:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | (1440) ~ (all_52_3 = e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (1437) imply:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | (1441) ~ (all_52_8 = e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1437) imply:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | (1442) ~ (all_52_12 = e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1437) imply:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | (1443) op(e3, e3) = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | (1444) ~ (all_32_2 = e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1444) imply:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | (1445) $false
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1445) is inconsistent.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | (1446) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1447) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_56_0 = e2 & op(e3, e3) = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1448) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_56_0 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (110), (112), (113), (117), (120), (121),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (126), (141), (144), (157), (158), (159),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (168), (169), (192),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (196), (197), (198), (201), (202), (207),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (217), (218), (219), (221),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (227), (228), (229), (231),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (241), (252), (253), (262), (263),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (273), (274), (1104), (1106), (1107),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108), (1109), (1128), (1129), (1134), (1135),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137), (1138), (1141), (1149), (1154), (1424),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426), (1431), (1435), (1439), (1440), (1441),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442), (1443), (1446), (1449), (function-axioms)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2790.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_56_1 = e2 & op(e3, e2) = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1134), (1450) are inconsistent by sub-proof
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3347.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1451) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_56_4 = e2 & op(e3, e1) = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1452) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) all_56_4 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1454) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_56_4 = e1 & op(e3, e1) = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1453), (1455) are inconsistent by sub-proof
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2862.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_56_5 = e1 & op(e2, e1) = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1456) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_56_5 = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) op(e2, e1) = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (1141),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426), (1457), (1458), (function-axioms) are
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2787.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1459) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) all_56_8 = e1 & op(e1, e1) = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1114), (1460) are inconsistent by sub-proof
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_56_14 = e1 & op(e0, e1) = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1461) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_56_14 = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1463) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_56_12 = e2 & op(e0, e3) = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1440), (1464), (function-axioms) are
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_56_13 = e2 & op(e0, e2) = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1465) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_56_13 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (225), (227),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (382), (1426), (1443), (1467),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3316.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1468) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_56_4 = e1 & op(e3, e1) = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1469) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_56_4 = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1453), (1470) imply:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) e2 = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1466), (1471) imply:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_56_13 = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (227), (228), (1134),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426), (1472), (function-axioms) are inconsistent
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2792.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_56_9 = e1 & op(e3, e0) = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1473) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_56_9 = e1
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1475) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) all_56_12 = e3 & op(e0, e3) = e3
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1476) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_56_12 = e3
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1478) gives:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) all_56_0 = e2 & op(e3, e3) = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1479) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_56_0 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (110), (112), (113), (117), (120), (121),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (126), (141), (144), (157), (158), (159),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (168), (169), (192),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (196), (197), (198), (201), (202), (207),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (217), (218), (219), (221),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (227), (228), (229), (231),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (241), (252), (253), (262), (263),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (273), (274), (1104), (1106), (1107),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108), (1109), (1128), (1129), (1134), (1135),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137), (1138), (1141), (1149), (1154), (1424),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426), (1431), (1435), (1439), (1440), (1441),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442), (1443), (1446), (1480), (function-axioms)
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2790.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_56_2 = e2 & op(e2, e3) = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1481) implies:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_56_2 = e2
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (1443),
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477), (1482), (function-axioms) are inconsistent
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3283.
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 242.87/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1483) gives:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_56_6 = e2 & op(e1, e3) = e2
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1484) implies:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_56_6 = e2
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (1134), (1443), (1486),
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2861.
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1487) gives:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_56_4 = e3 & op(e3, e1) = e3
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1488) implies:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_56_4 = e3
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1453), (1489) imply:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) e3 = e2
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1490) implies:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) e3 = e2
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1477), (1491) imply:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_56_12 = e2
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (231), (1141), (1443), (1485), (1492),
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2786.
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_56_9 = e3 & op(e3, e0) = e3
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1493) implies:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_56_9 = e3
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (208), (209),
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462), (1466), (1474), (1477), (1494),
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2785.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_56_12 = e2 & op(e0, e3) = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1440), (1495), (function-axioms) are
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_56_13 = e3 & op(e0, e2) = e3
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1466), (1496) are inconsistent by sub-proof
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3357.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1497) gives:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_56_14 = e3 & op(e0, e1) = e3
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1498) implies:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_56_14 = e3
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1462), (1499) are inconsistent by sub-proof
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2784.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_56_15 = e3 & op(e0, e0) = e3
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1500) implies:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) op(e0, e0) = e3
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1138), (1501), (function-axioms) are
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3313.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1502) gives:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_56_14 = e2 & op(e0, e1) = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1503) implies:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_56_14 = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1462), (1504) are inconsistent by sub-proof
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3309.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_56_15 = e2 & op(e0, e0) = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1137), (1505) are inconsistent by sub-proof
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2783.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_56_9 = e2 & op(e3, e0) = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1442), (1506), (function-axioms) are
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | (1507) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1507) gives:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | (1508) all_56_7 = e1 & op(e1, e2) = e1
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1508) implies:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | (1509) op(e1, e2) = e1
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1423), (1509), (function-axioms) are
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3411.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | (1510) all_56_13 = e1 & op(e0, e2) = e1
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1510) implies:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | (1511) all_56_13 = e1
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (227), (228), (1134),
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | (1426), (1511), (function-axioms) are inconsistent
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2792.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | (1512) all_56_3 = e0 & op(e2, e2) = e0
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (382), (1512), (function-axioms) are
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | (1513) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (1513) gives:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | (1514) all_56_5 = e0 & op(e2, e1) = e0
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (1514) implies:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | (1515) op(e2, e1) = e0
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1107), (1515), (function-axioms) are
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | (1516) all_56_10 = e0 & op(e2, e0) = e0
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (1516) implies:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | (1517) all_56_10 = e0
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | (1518) op(e2, e0) = e0
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (159), (163),
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (229), (384), (1104), (1128),
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | (1517), (1518), (function-axioms) are inconsistent
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | by sub-proof #2775.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1519) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.21/47.65 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 243.21/47.65 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 243.21/47.65 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 243.21/47.65 | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | ALPHA: (1519) implies:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1520) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 243.21/47.65 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 243.21/47.65 | | | | | | | | | | | | | | | | | | e1) = e0)
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (1108), (1128), (1129),
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1520), (function-axioms) are inconsistent by
% 243.21/47.65 | | | | | | | | | | | | | | | | | | sub-proof #3078.
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | (1521) all_56_3 = e0 & op(e2, e2) = e0
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (382), (1521), (function-axioms) are
% 243.21/47.65 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | (1522) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 243.21/47.65 | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (1105), (1129), (1522),
% 243.21/47.65 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.65 | | | | | | | | | | | | | | | | #2774.
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | End of split
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | (1523) all_20_2 = e1
% 243.21/47.65 | | | | | | | | | | | | (1524) ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0
% 243.21/47.65 | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 243.21/47.65 | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 243.21/47.65 | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | COMBINE_EQS: (322), (1523) imply:
% 243.21/47.65 | | | | | | | | | | | | (1525) all_4_2 = e1
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | COMBINE_EQS: (311), (1525) imply:
% 243.21/47.65 | | | | | | | | | | | | (1526) all_34_2 = e1
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | REDUCE: (353), (1525) imply:
% 243.21/47.65 | | | | | | | | | | | | (1527) ~ (all_52_3 = e1)
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | REDUCE: (364), (1525) imply:
% 243.21/47.65 | | | | | | | | | | | | (1528) ~ (all_52_7 = e1)
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | REDUCE: (371), (1525) imply:
% 243.21/47.65 | | | | | | | | | | | | (1529) ~ (all_52_11 = e1)
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | REDUCE: (372), (1525) imply:
% 243.21/47.65 | | | | | | | | | | | | (1530) ~ (all_52_12 = e1)
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | REDUCE: (374), (1525) imply:
% 243.21/47.65 | | | | | | | | | | | | (1531) ~ (all_52_14 = e1)
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | REDUCE: (380), (1525) imply:
% 243.21/47.65 | | | | | | | | | | | | (1532) ~ (e3 = e1)
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | REDUCE: (375), (1525) imply:
% 243.21/47.65 | | | | | | | | | | | | (1533) ~ (e2 = e1)
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.21/47.65 | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | (1534) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.21/47.65 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.21/47.65 | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | REF_CLOSE: (158), (159), (1527), (1528), (1534),
% 243.21/47.65 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.65 | | | | | | | | | | | | | #3076.
% 243.21/47.65 | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | (1535) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 243.21/47.65 | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.21/47.65 | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | BETA: splitting (1535) gives:
% 243.21/47.65 | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | (1536) all_56_14 = e1 & op(e0, e1) = e1
% 243.21/47.65 | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | REF_CLOSE: (157), (1529), (1536), (function-axioms) are
% 243.21/47.65 | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 243.21/47.65 | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | (1537) all_56_15 = e1 & op(e0, e0) = e1
% 243.21/47.65 | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | ALPHA: (1537) implies:
% 243.21/47.65 | | | | | | | | | | | | | | (1538) all_56_15 = e1
% 243.21/47.65 | | | | | | | | | | | | | | (1539) op(e0, e0) = e1
% 243.21/47.65 | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 243.21/47.65 | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | (1540) ~ (all_22_2 = e1)
% 243.21/47.65 | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | REDUCE: (326), (1540) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | (1541) ~ (all_8_2 = e1)
% 243.21/47.65 | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 243.21/47.65 | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | (1542) all_54_5 = e3
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (1542) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | (1543) all_8_2 = e3
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | REDUCE: (377), (1543) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | (1544) $false
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | CLOSE: (1544) is inconsistent.
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | (1545) ~ (all_54_5 = e3)
% 243.21/47.65 | | | | | | | | | | | | | | | | (1546) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | BETA: splitting (1546) gives:
% 243.21/47.65 | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | (1547) all_54_5 = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (1547) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | (1548) all_8_2 = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | REDUCE: (358), (1548) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | (1549) ~ (all_52_7 = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | REDUCE: (360), (1548) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | (1550) ~ (all_52_9 = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | REDUCE: (362), (1548) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | (1551) ~ (all_52_13 = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | REDUCE: (377), (1548) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | (1552) ~ (e3 = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | REDUCE: (42), (1548) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | (1553) op(e2, e2) = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 243.21/47.65 | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1554) ~ (all_24_2 = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | REDUCE: (323), (1554) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1555) ~ (all_10_2 = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (164), (165), (168), (169), (170),
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (204), (241), (282), (346), (348), (350), (378),
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (384), (1531), (1539), (1550), (1551), (1553),
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1555), (function-axioms) are inconsistent by
% 243.21/47.65 | | | | | | | | | | | | | | | | | | sub-proof #3071.
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1556) all_24_2 = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (1556) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1557) all_10_2 = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | SIMP: (1557) implies:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1558) all_10_2 = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | REDUCE: (344), (1558) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1559) ~ (all_52_3 = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | REDUCE: (346), (1558) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1560) ~ (all_52_4 = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | REDUCE: (350), (1558) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1561) ~ (all_52_12 = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | REDUCE: (45), (1558) imply:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | (1562) op(e3, e3) = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 243.21/47.65 | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | (1563) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (1551), (1561), (1563),
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | #3451.
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | (1564) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (1564) gives:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | (1565) all_56_11 = e2 & op(e1, e0) = e2
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (1565) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | (1566) all_56_11 = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | (1567) op(e1, e0) = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | (1568) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (1549), (1559), (1568),
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | #3069.
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | (1569) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1569) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | (1570) all_56_14 = e2 & op(e0, e1) = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1570) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | (1571) all_56_14 = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | (1572) op(e0, e1) = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (1572) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | (1573) all_52_11 = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (1567) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | (1574) all_52_14 = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1574) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | (1575) ~ (all_52_6 = e2)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | (1576) ~ (all_28_2 = e0)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1576) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | (1577) $false
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1577) is inconsistent.
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | (1578) ( ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1578) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | (1579) ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0 &
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1579) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | (1580) ~ (all_28_0 = e3)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | (1581) op(e1, e0) = all_28_1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | (1582) op(e1, all_28_1) = all_28_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | (1583) ~ (all_34_2 = e1)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1526), (1583) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | (1584) $false
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1584) is inconsistent.
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | (1585) ( ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1100) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0 &
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1586) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) op(e1, e0) = all_18_1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) op(e1, all_18_1) = all_18_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1585) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1589) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) ~ (all_34_0 = e3)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) op(e0, e1) = all_34_1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) op(e0, all_34_1) = all_34_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1524) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0 &
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1593) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) op(e0, e1) = all_20_1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) op(e0, all_20_1) = all_20_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (1572), (1591) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) all_34_1 = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (1591), (1594)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) all_34_1 = all_20_1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_28_1,
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (1567), (1581) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) all_28_1 = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (1581), (1587)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_28_1 = all_18_1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1596), (1597) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_20_1 = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1598), (1599) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) all_18_1 = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1582), (1598) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) op(e1, e2) = all_28_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1588), (1601) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) op(e1, e2) = all_18_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1592), (1596) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) op(e0, e2) = all_34_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1595), (1600) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) op(e0, e2) = all_20_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e2, e0, simplifying with (158), (1605)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_52_7 = all_20_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e2, e0, simplifying with (158), (1604)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_52_7 = all_34_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e2, e1, simplifying with (162), (1603)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_52_6 = all_18_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_0, e2, e1, simplifying with (162), (1602)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_52_6 = all_28_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1608), (1609) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_28_0 = all_18_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1610) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_28_0 = all_18_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1606), (1607) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_34_0 = all_20_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (1606) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_54_13 = all_20_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1608) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_54_9 = all_18_0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1608) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) ~ (all_52_4 = all_18_0)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1606) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) ~ (all_52_4 = all_20_0)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1575), (1608) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) ~ (all_18_0 = e2)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1105), (1608) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) ~ (all_18_0 = e0)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1549), (1606) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) ~ (all_20_0 = e2)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1528), (1606) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) ~ (all_20_0 = e1)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1590), (1612) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) ~ (all_20_0 = e3)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1580), (1611) imply:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) ~ (all_18_0 = e3)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_54_9 = e3
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1614), (1622), (1623) are inconsistent by
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2856.
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) ~ (all_54_9 = e3)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_54_9 = e2
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1614), (1617), (1626) are inconsistent by
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2855.
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_54_9 = e1 | all_54_9 = e0
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1628) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) all_56_6 = e3 & op(e1, e3) = e3
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1629) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_56_6 = e3
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1631) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_56_0 = e1 & op(e3, e3) = e1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1632) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) op(e3, e3) = e1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1562), (1633), (function-axioms) are
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_56_2 = e1 & op(e2, e3) = e1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1634) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_56_2 = e1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1636) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_56_6 = e1 & op(e1, e3) = e1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1630), (1637) are inconsistent by sub-proof
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3293.
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_56_7 = e1 & op(e1, e2) = e1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1638) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_56_7 = e1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) op(e1, e2) = e1
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1641) gives:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_56_12 = e3 & op(e0, e3) = e3
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1642) implies:
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_56_12 = e3
% 243.21/47.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (64), (73), (110), (112), (113), (117), (118),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (128), (133), (134),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (159),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (190), (191), (192), (193),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (199), (200), (201), (202),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (212),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (218), (219), (220), (221), (222),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (230),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (238), (241), (242),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (250), (252), (253), (261), (262), (264),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (273), (274), (275), (326), (351),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353), (356), (360), (362), (371), (372), (373),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (375), (376), (377), (378), (380), (382),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103), (1104), (1106), (1107), (1108), (1114),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115), (1530), (1538), (1550), (1553), (1562),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566), (1571), (1605), (1613), (1616), (1619),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620), (1621), (1630), (1635), (1639), (1640),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643), (function-axioms) are inconsistent by
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2663.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_56_13 = e3 & op(e0, e2) = e3
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1644) implies:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_56_13 = e3
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (42), (214), (215),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382), (1114), (1115), (1630), (1635), (1639),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646), (function-axioms) are inconsistent by
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2773.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1647) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_56_5 = e0 & op(e2, e1) = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1648) implies:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) op(e2, e1) = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1107), (1649), (function-axioms) are
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_56_10 = e0 & op(e2, e0) = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1650) implies:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_56_10 = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1652) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_56_1 = e0 & op(e3, e2) = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1653) implies:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_56_1 = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1655) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_56_9 = e3 & op(e3, e0) = e3
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1656) implies:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) op(e3, e0) = e3
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_54_13 = e3
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1613), (1621), (1658) are inconsistent by
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3068.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1659) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_54_13 = e2
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1613), (1619), (1660) are inconsistent by
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3067.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_54_13 = e1 | all_54_13 = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1627) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_54_9 = e1
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1614), (1662) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_18_0 = e1
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1663) implies:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_18_0 = e1
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1615), (1664) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) ~ (all_52_4 = e1)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (135), (168), (203), (251), (275), (1528),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560), (1657), (1661), (1665), (function-axioms)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2660.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_54_9 = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1614), (1618), (1666) are inconsistent by
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2854.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_56_10 = e3 & op(e2, e0) = e3
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1667) implies:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_56_10 = e3
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1651), (1668) are inconsistent by sub-proof
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3044.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (1538),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553), (1566), (1645), (1654), (1669),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2659.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_56_3 = e0 & op(e2, e2) = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1670) implies:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_56_3 = e0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651), (1671) are inconsistent by sub-proof
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3038.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114), (1115), (1630), (1645), (1672),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2658.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1538), (1571), (1673) are inconsistent
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2657.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (1114), (1531), (1674),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2656.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (1527), (1630), (1675),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2655.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_56_7 = e3 & op(e1, e2) = e3
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1676) implies:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) op(e1, e2) = e3
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1603), (1614), (1618), (1622), (1627), (1677),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2853.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (376), (1566), (1678),
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2654.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1679) implies:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) ~ (all_20_1 = e3)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) op(e0, e1) = all_20_1
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (1572), (1591) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_34_1 = e2
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (1591), (1681)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) all_34_1 = all_20_1
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_28_1,
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (1567), (1581) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_28_1 = e2
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (1581), (1587)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_28_1 = all_18_1
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1682), (1683) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_20_1 = e2
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1685) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_18_1 = e2
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1582), (1684) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) op(e1, e2) = all_28_0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1588), (1687) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) op(e1, e2) = all_18_0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1592), (1682) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) op(e0, e2) = all_34_0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e2, e0, simplifying with (158), (1690)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_52_7 = all_34_0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e2, e1, simplifying with (162), (1689)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_52_6 = all_18_0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_0, e2, e1, simplifying with (162), (1688)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_52_6 = all_28_0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1692), (1693) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_28_0 = all_18_0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (1691) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_54_13 = all_34_0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1692) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_54_9 = all_18_0
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1691) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_52_3 = all_34_0)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1691) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) ~ (all_52_4 = all_34_0)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1575), (1692) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) ~ (all_18_0 = e2)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1105), (1692) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) ~ (all_18_0 = e0)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1549), (1691) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) ~ (all_34_0 = e2)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1528), (1691) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) ~ (all_34_0 = e1)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1580), (1694) imply:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) ~ (all_18_0 = e3)
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_54_9 = e3
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1696), (1703), (1704) are inconsistent by
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2856.
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.21/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) ~ (all_54_9 = e3)
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1706) gives:
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_54_9 = e2
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1696), (1699), (1707) are inconsistent by
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2855.
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_54_9 = e1 | all_54_9 = e0
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1709) gives:
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_56_6 = e3 & op(e1, e3) = e3
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1710) implies:
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_56_6 = e3
% 243.32/47.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (64), (73), (110), (112), (113), (117), (118),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (128), (133), (134),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (159),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (190), (191), (192), (193),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (199), (200), (201), (202),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (212),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (218), (219), (220), (221), (222),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (230),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (238), (241), (242),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (250), (252), (253), (261), (262), (264),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (273), (274), (275), (326), (351),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353), (356), (360), (362), (371), (372), (373),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (375), (376), (377), (378), (380), (382),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103), (1104), (1106), (1107), (1108), (1114),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115), (1527), (1530), (1531), (1538), (1550),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553), (1562), (1566), (1571), (1590), (1591),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680), (1681), (1690), (1695), (1697), (1698),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701), (1702), (1711), (function-axioms) are
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2649.
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_56_7 = e3 & op(e1, e2) = e3
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1712) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) op(e1, e2) = e3
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1689), (1696), (1700), (1703), (1708), (1713),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2853.
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (376), (1566), (1714),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2654.
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1715) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) ~ (all_34_1 = e2)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) op(e0, e1) = all_34_1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1572), (1716), (1717), (function-axioms) are
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3061.
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1718) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) ~ (all_18_1 = e3)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) op(e1, e0) = all_18_1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1585) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1721) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) ~ (all_34_0 = e3)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) op(e0, e1) = all_34_1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) op(e0, all_34_1) = all_34_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1524) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0 &
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1725) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) op(e0, e1) = all_20_1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) op(e0, all_20_1) = all_20_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (1572), (1723) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_34_1 = e2
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (1723), (1726)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_34_1 = all_20_1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_28_1,
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (1567), (1581) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_28_1 = e2
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (1581), (1720)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_28_1 = all_18_1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1728), (1729) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_20_1 = e2
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1730), (1731) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_18_1 = e2
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1582), (1730) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) op(e1, e2) = all_28_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1724), (1728) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) op(e0, e2) = all_34_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1727), (1732) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) op(e0, e2) = all_20_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e2, e0, simplifying with (158), (1736)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_52_7 = all_20_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e2, e0, simplifying with (158), (1735)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_52_7 = all_34_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_0, e2, e1, simplifying with (162), (1734)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_52_6 = all_28_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1737), (1738) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_34_0 = all_20_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1740) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_34_0 = all_20_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (1737) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_54_13 = all_20_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1739) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_54_9 = all_28_0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1739) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) ~ (all_52_4 = all_28_0)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1737) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) ~ (all_52_4 = all_20_0)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1575), (1739) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) ~ (all_28_0 = e2)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1105), (1739) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) ~ (all_28_0 = e0)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1549), (1737) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) ~ (all_20_0 = e2)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1528), (1737) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) ~ (all_20_0 = e1)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1722), (1741) imply:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) ~ (all_20_0 = e3)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_54_9 = e3
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1580), (1743), (1751) are inconsistent by
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2820.
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) ~ (all_54_9 = e3)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1753) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_54_9 = e2
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1743), (1746), (1754) are inconsistent by
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2823.
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_54_9 = e1 | all_54_9 = e0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1756) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_56_6 = e3 & op(e1, e3) = e3
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1757) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_56_6 = e3
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1759) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_56_0 = e1 & op(e3, e3) = e1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1760) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) op(e3, e3) = e1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1562), (1761), (function-axioms) are
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_56_2 = e1 & op(e2, e3) = e1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1762) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_56_2 = e1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1764) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_56_6 = e1 & op(e1, e3) = e1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1758), (1765) are inconsistent by sub-proof
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3293.
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) all_56_7 = e1 & op(e1, e2) = e1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1766) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_56_7 = e1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) op(e1, e2) = e1
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1769) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_56_12 = e3 & op(e0, e3) = e3
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1770) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_56_12 = e3
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (64), (73), (110), (112), (113), (117), (118),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (128), (133), (134),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (159),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (190), (191), (192), (193),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (199), (200), (201), (202),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (212),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (218), (219), (220), (221), (222),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (230),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (238), (241), (242),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (250), (252), (253), (261), (262), (264),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (273), (274), (275), (326), (351),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353), (356), (360), (362), (371), (372), (373),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (375), (376), (377), (378), (380), (382),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103), (1104), (1106), (1107), (1108), (1114),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115), (1530), (1538), (1550), (1553), (1562),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566), (1571), (1736), (1742), (1745), (1748),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749), (1750), (1758), (1763), (1767), (1768),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771), (function-axioms) are inconsistent by
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2663.
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_56_13 = e3 & op(e0, e2) = e3
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1772) implies:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_56_13 = e3
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (42), (214), (215),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382), (1114), (1115), (1758), (1763), (1767),
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774), (function-axioms) are inconsistent by
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2773.
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1775) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_56_5 = e0 & op(e2, e1) = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1776) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) op(e2, e1) = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1107), (1777), (function-axioms) are
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_56_10 = e0 & op(e2, e0) = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1778) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_56_10 = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1780) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_56_1 = e0 & op(e3, e2) = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1781) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_56_1 = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1783) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_56_9 = e3 & op(e3, e0) = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1784) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) op(e3, e0) = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_54_13 = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1742), (1786) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_20_0 = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1750), (1787) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) $false
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1788) is inconsistent.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1789) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_54_13 = e2
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1742), (1790) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_20_0 = e2
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1748), (1791) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) $false
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1792) is inconsistent.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_54_13 = e1 | all_54_13 = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1755) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_54_9 = e1
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1743), (1794) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_28_0 = e1
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1795) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) all_28_0 = e1
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1744), (1796) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) ~ (all_52_4 = e1)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (135), (168), (203), (251), (275), (1528),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560), (1785), (1793), (1797), (function-axioms)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2660.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_54_9 = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1743), (1747), (1798) are inconsistent by
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2822.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_56_10 = e3 & op(e2, e0) = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1799) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_56_10 = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1779), (1800) are inconsistent by sub-proof
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3044.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (1538),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553), (1566), (1773), (1782), (1801),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2659.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_56_3 = e0 & op(e2, e2) = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1802) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_56_3 = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779), (1803) are inconsistent by sub-proof
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3038.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114), (1115), (1758), (1773), (1804),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2658.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1538), (1571), (1805) are inconsistent
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2657.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (1114), (1531), (1806),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2656.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (1527), (1758), (1807),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2655.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_56_7 = e3 & op(e1, e2) = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1808) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) op(e1, e2) = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1580), (1734), (1743), (1747), (1755), (1809),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2819.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (376), (1566), (1810),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2654.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1811) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) ~ (all_20_1 = e3)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) op(e0, e1) = all_20_1
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (1572), (1723) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_34_1 = e2
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (1723), (1813)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_34_1 = all_20_1
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_28_1,
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (1567), (1581) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) all_28_1 = e2
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (1581), (1720)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) all_28_1 = all_18_1
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1814), (1815) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_20_1 = e2
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1816), (1817) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_18_1 = e2
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1582), (1816) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) op(e1, e2) = all_28_0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1724), (1814) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) op(e0, e2) = all_34_0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e2, e0, simplifying with (158), (1821)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_52_7 = all_34_0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_0, e2, e1, simplifying with (162), (1820)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) all_52_6 = all_28_0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (1822) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_54_13 = all_34_0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1823) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_54_9 = all_28_0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1822) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) ~ (all_52_3 = all_34_0)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1822) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) ~ (all_52_4 = all_34_0)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1575), (1823) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) ~ (all_28_0 = e2)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1105), (1823) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) ~ (all_28_0 = e0)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1549), (1822) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) ~ (all_34_0 = e2)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1528), (1822) imply:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) ~ (all_34_0 = e1)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_54_9 = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1580), (1825), (1832) are inconsistent by
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2820.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) ~ (all_54_9 = e3)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1834) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_54_9 = e2
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1825), (1828), (1835) are inconsistent by
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2823.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_54_9 = e1 | all_54_9 = e0
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1837) gives:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_56_6 = e3 & op(e1, e3) = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1838) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) all_56_6 = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (64), (73), (110), (112), (113), (117), (118),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (128), (133), (134),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (159),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (190), (191), (192), (193),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (199), (200), (201), (202),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (212),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (218), (219), (220), (221), (222),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (230),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (238), (241), (242),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (250), (252), (253), (261), (262), (264),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (273), (274), (275), (326), (351),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353), (356), (360), (362), (371), (372), (373),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (375), (376), (377), (378), (380), (382),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103), (1104), (1106), (1107), (1108), (1114),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115), (1527), (1530), (1531), (1538), (1550),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553), (1562), (1566), (1571), (1722), (1723),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812), (1813), (1821), (1824), (1826), (1827),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830), (1831), (1839), (function-axioms) are
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2649.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_56_7 = e3 & op(e1, e2) = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1840) implies:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) op(e1, e2) = e3
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1580), (1820), (1825), (1829), (1836), (1841),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2819.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (376), (1566), (1842),
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2654.
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1843) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) ~ (all_34_1 = e2)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) op(e0, e1) = all_34_1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1572), (1844), (1845), (function-axioms) are
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3061.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | (1846) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1846) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | (1847) ~ (all_28_1 = e2)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | (1848) op(e1, e0) = all_28_1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1567), (1847), (1848), (function-axioms) are
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2817.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | (1849) all_56_15 = e2 & op(e0, e0) = e2
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1849) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | (1850) all_56_15 = e2
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1538), (1850) are inconsistent by sub-proof
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | #3014.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | (1851) all_56_15 = e2 & op(e0, e0) = e2
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1538), (1851) are inconsistent by sub-proof
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | #3000.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | (1852) all_54_5 = e1 | all_54_5 = e0
% 243.32/47.70 | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (382), (1541), (1852) are inconsistent by
% 243.32/47.70 | | | | | | | | | | | | | | | | | sub-proof #3433.
% 243.32/47.70 | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | (1853) all_22_2 = e1
% 243.32/47.70 | | | | | | | | | | | | | | | (1854) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 243.32/47.70 | | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 243.32/47.70 | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 243.32/47.70 | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 243.32/47.70 | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | COMBINE_EQS: (326), (1853) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | (1855) all_8_2 = e1
% 243.32/47.70 | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | SIMP: (1855) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | (1856) all_8_2 = e1
% 243.32/47.70 | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | COMBINE_EQS: (313), (1856) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | (1857) all_30_2 = e1
% 243.32/47.70 | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | REDUCE: (356), (1856) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | (1858) ~ (all_52_6 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | REDUCE: (362), (1856) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | (1859) ~ (all_52_13 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | REDUCE: (42), (1856) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | (1860) op(e2, e2) = e1
% 243.32/47.70 | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 243.32/47.70 | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | (1861) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | BETA: splitting (1861) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | (1862) all_56_4 = e1 & op(e3, e1) = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | ALPHA: (1862) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | (1863) all_56_4 = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | (1864) op(e3, e1) = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | (1865) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | BETA: splitting (1865) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | (1866) all_56_1 = e1 & op(e3, e2) = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | ALPHA: (1866) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | (1867) all_56_1 = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (225), (227),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | (228), (382), (1860), (1867), (function-axioms)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3412.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | (1868) all_56_3 = e1 & op(e2, e2) = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | ALPHA: (1868) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | (1869) all_56_3 = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | (1870) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1870) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1871) all_56_6 = e1 & op(e1, e3) = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1871) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1872) all_56_6 = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1873) op(e1, e3) = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (1873) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1874) all_52_2 = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (1864) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1875) all_52_8 = e1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1874) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1876) ~ (all_52_1 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1874) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1877) ~ (all_52_3 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1874) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1878) ~ (all_52_6 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1874) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1879) ~ (all_52_14 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1875) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1880) ~ (all_52_4 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1875) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1881) ~ (all_52_9 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | SIMP: (1881) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1882) ~ (all_52_9 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1875) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1883) ~ (all_52_11 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1875) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1884) ~ (all_52_12 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (1875) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | (1885) ~ (all_10_2 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | (1886) ~ (all_24_2 = e2)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (1886) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | (1887) ~ (all_10_2 = e2)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | (1888) all_54_0 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (1888) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | (1889) all_10_2 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1889) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | (1890) all_10_2 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (1890) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | (1891) ~ (all_52_1 = e3)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (1890) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | (1892) ~ (all_52_3 = e3)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (1890) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | (1893) ~ (all_52_4 = e3)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1890) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | (1894) ~ (all_52_12 = e3)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1890) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | (1895) op(e3, e3) = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | (1896) ~ (all_34_2 = e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1526), (1896) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | (1897) $false
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1897) is inconsistent.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | (1898) ( ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_54_14 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1899) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_52_11 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1900) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1901) ~ (all_52_9 = e3)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (1900) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1902) op(e0, e1) = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_54_6 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (1901), (1903) are inconsistent by
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2704.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) ~ (all_54_6 = e3)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1898) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1906) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) op(e0, e1) = all_34_1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (112), (113), (117), (133), (145), (146),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (193), (197), (200), (201), (203), (233),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (263), (264), (272), (273), (275), (1107),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109), (1524), (1530), (1531), (1859), (1872),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876), (1880), (1882), (1891), (1893), (1895),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901), (1902), (1905), (1907), (function-axioms)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2643.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1908) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) op(e0, e1) = all_34_1
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (112), (113), (117), (133), (145), (146),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (193), (197), (200), (201), (203), (233),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (263), (264), (272), (273), (275), (1107),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109), (1524), (1530), (1531), (1859), (1872),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876), (1880), (1882), (1891), (1893), (1895),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901), (1902), (1905), (1909), (function-axioms)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2643.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_54_14 = e2
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1911) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_52_11 = e2
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1912) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) ~ (all_52_3 = e2)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1912) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) ~ (all_52_9 = e2)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_54_6 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (1915) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_52_9 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1916) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_52_9 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1917) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) ~ (all_52_13 = e3)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1918) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) ~ (all_52_13 = e3)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (1917) imply:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) op(e2, e1) = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_54_12 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (1892), (1921) are inconsistent by
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3005.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (1894), (1919), (1923),
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3006.
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1924) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_56_11 = e3 & op(e1, e0) = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1925) implies:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_56_11 = e3
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1927) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_56_6 = e2 & op(e1, e3) = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1928) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_56_6 = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1872), (1929) are inconsistent by sub-proof
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3242.
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_56_7 = e2 & op(e1, e2) = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1930) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_56_7 = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1932) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_56_12 = e3 & op(e0, e3) = e3
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1933) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_56_12 = e3
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (163), (229), (233), (1104),
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872), (1895), (1934), (function-axioms) are
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2640.
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_56_13 = e3 & op(e0, e2) = e3
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1935) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_56_13 = e3
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1937) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_56_0 = e2 & op(e3, e3) = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1938) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) op(e3, e3) = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1895), (1939), (function-axioms) are
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3330.
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_56_2 = e2 & op(e2, e3) = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1940) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_56_2 = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1942) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_56_1 = e0 & op(e3, e2) = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1943) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_56_1 = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1945) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_56_2 = e0 & op(e2, e3) = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1946) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_56_2 = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1941), (1947) imply:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) e2 = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1931), (1948) imply:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_56_7 = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (1936),
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944), (1949), (function-axioms) are inconsistent
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3337.
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_56_3 = e0 & op(e2, e2) = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (382), (1950), (function-axioms) are
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1951) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_56_5 = e0 & op(e2, e1) = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1952) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) op(e2, e1) = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1107), (1953), (function-axioms) are
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_56_10 = e0 & op(e2, e0) = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1954) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) op(e2, e0) = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1922) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_54_12 = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (1956) imply:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_52_3 = e2
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1913), (1957) imply:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) $false
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1958) is inconsistent.
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) ~ (all_54_12 = e2)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_54_12 = e1 | all_54_12 = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1960) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_54_12 = e1
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (1961) imply:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_52_3 = e1
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1527), (1962) imply:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) $false
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1963) is inconsistent.
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_54_12 = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (1964) imply:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_52_3 = e0
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1965) imply:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) ~ (all_52_7 = e0)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1966) implies:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) ~ (all_52_7 = e0)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1913), (1965) imply:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) ~ (e2 = e0)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1969) gives:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1895), (1970), (function-axioms) are inconsistent
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3470.
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1858), (1955), (1971), (function-axioms)
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2767.
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1972) gives:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (123), (169), (198), (264), (1107), (1882),
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914), (1920), (1973), (function-axioms) are
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2721.
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1974) gives:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1975) implies:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) op(e3, e0) = e3
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1894), (1976), (function-axioms) are
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1977) gives:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1978) implies:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) op(e2, e0) = e2
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1955), (1979), (function-axioms) are
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (1108), (1115), (1895), (1967),
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980), (function-axioms) are inconsistent by
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2638.
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_56_3 = e0 & op(e2, e2) = e0
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (382), (1981), (function-axioms) are
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1982) gives:
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_56_7 = e0 & op(e1, e2) = e0
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1105), (1983), (function-axioms) are
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2865.
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_56_13 = e0 & op(e0, e2) = e0
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1936), (1984) are inconsistent by sub-proof
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3414.
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.32/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1985) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_56_6 = e2 & op(e1, e3) = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1986) implies:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_56_6 = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1872), (1987) are inconsistent by sub-proof
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3242.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_56_12 = e2 & op(e0, e3) = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1913), (1988), (function-axioms) are
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1989) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_56_14 = e3 & op(e0, e1) = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1990) implies:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_56_14 = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1863), (1920), (1992),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2957.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1993) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_56_8 = e2 & op(e1, e1) = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1994) implies:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) op(e1, e1) = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (220), (376), (1872), (1931),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991), (1995), (function-axioms) are inconsistent
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2636.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_56_14 = e2 & op(e0, e1) = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1991), (1996) are inconsistent by sub-proof
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3274.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_56_15 = e3 & op(e0, e0) = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1997) implies:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_56_15 = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (42), (45), (76), (123),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (141), (143), (145), (146), (149), (157),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (169),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (196), (200), (204), (206), (207), (208),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (214), (215), (216), (217), (218),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (241), (262), (272),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (346), (348), (350), (376), (378), (382),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (1104), (1107), (1108), (1109), (1114),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115), (1854), (1857), (1858), (1860), (1869),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876), (1882), (1887), (1998), (function-axioms)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2509.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1115), (1926), (1999),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2508.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_56_15 = e3 & op(e0, e0) = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2000) implies:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_56_15 = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (42), (45), (76), (123),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (141), (143), (145), (146), (149), (157),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (169),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (196), (200), (204), (206), (207), (208),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (214), (215), (216), (217), (218),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (241), (262), (272),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (346), (348), (350), (376), (378), (382),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (1104), (1107), (1108), (1109), (1114),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115), (1854), (1857), (1858), (1860), (1869),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876), (1882), (1887), (2001), (function-axioms)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2509.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (1107), (1882), (1914), (2002) are
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3126.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_54_14 = e1 | all_54_14 = e0
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1108), (1529), (2003) are inconsistent by
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3122.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | (2004) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (378), (384), (1887), (2004) are
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | (2005) all_24_2 = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (2005) imply:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | (2006) all_10_2 = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2006) implies:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | (2007) all_10_2 = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (2007) imply:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | (2008) ~ (all_52_1 = e2)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (2007) imply:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | (2009) ~ (all_52_3 = e2)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (2007) imply:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | (2010) ~ (all_52_4 = e2)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2007) imply:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | (2011) ~ (all_52_12 = e2)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | (2012) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2012) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_56_0 = e2 & op(e3, e3) = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2013) implies:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_56_0 = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | (2015) op(e3, e3) = e2
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_54_14 = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (2016) imply:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_52_11 = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2017) imply:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | (2018) ~ (all_52_3 = e3)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2017) imply:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | (2019) ~ (all_52_9 = e3)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_54_6 = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (2019), (2020) are inconsistent by
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2704.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) ~ (all_54_6 = e3)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2023) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_56_4 = e3 & op(e3, e1) = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2024) implies:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) op(e3, e1) = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1864), (2025), (function-axioms) are
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3060.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_56_5 = e3 & op(e2, e1) = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (264), (1107), (1882), (2019), (2022),
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026), (function-axioms) are inconsistent by
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2506.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2027) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_56_8 = e3 & op(e1, e1) = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (2028), (function-axioms) are
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_56_14 = e3 & op(e0, e1) = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2029) implies:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_56_14 = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_54_12 = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (2031) imply:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) all_52_3 = e3
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2018), (2032) imply:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) $false
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2033) is inconsistent.
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2035) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_56_4 = e2 & op(e3, e1) = e2
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1863), (2036) are inconsistent by sub-proof
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2505.
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_56_5 = e2 & op(e2, e1) = e2
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2037) implies:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) all_56_5 = e2
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2039) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_56_12 = e2 & op(e0, e3) = e2
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2009), (2040), (function-axioms) are
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_56_13 = e2 & op(e0, e2) = e2
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2041) implies:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_56_13 = e2
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) op(e0, e2) = e2
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2044) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_56_0 = e3 & op(e3, e3) = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2045) implies:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) op(e3, e3) = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2015), (2046), (function-axioms) are
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3330.
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_56_2 = e3 & op(e2, e3) = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2047) implies:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_56_2 = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2049) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_56_2 = e0 & op(e2, e3) = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2048), (2050) are inconsistent by sub-proof
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3329.
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_56_3 = e0 & op(e2, e2) = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (382), (2051), (function-axioms) are
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2052) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) all_56_5 = e0 & op(e2, e1) = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2053) implies:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) op(e2, e1) = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1107), (2054), (function-axioms) are
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_56_10 = e0 & op(e2, e0) = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2055) implies:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) all_56_10 = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) op(e2, e0) = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2058) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_56_1 = e0 & op(e3, e2) = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2059) implies:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_56_1 = e0
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2061) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_56_1 = e3 & op(e3, e2) = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2060), (2062) are inconsistent by sub-proof
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3351.
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_56_3 = e3 & op(e2, e2) = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2063) implies:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) op(e2, e2) = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (2038), (2048), (2056),
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064), (function-axioms) are inconsistent by
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2504.
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2065) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) all_56_7 = e3 & op(e1, e2) = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2066) implies:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) op(e1, e2) = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2068) gives:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (1864), (2008), (2069), (function-axioms)
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2869.
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2015), (2067), (2070), (function-axioms) are
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2503.
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2071) gives:
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1860), (1864), (2072), (function-axioms) are
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2502.
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2073) gives:
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2074) implies:
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) ~ (all_57_15 = e2)
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) op(e0, e2) = all_57_15
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.55/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2043), (2075), (2076), (function-axioms) are
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2913.
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (1531), (1539), (1864), (2043),
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057), (2077), (function-axioms) are inconsistent
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2501.
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_56_13 = e3 & op(e0, e2) = e3
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2078) implies:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_56_13 = e3
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2042), (2079) imply:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) e3 = e2
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (235),
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014), (2015), (2048), (2080), (function-axioms)
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2500.
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_56_3 = e0 & op(e2, e2) = e0
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2081) implies:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_56_3 = e0
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (2038),
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056), (2082) are inconsistent by sub-proof
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3039.
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (162), (1105), (2043), (2083),
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2499.
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2084) gives:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_56_6 = e3 & op(e1, e3) = e3
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2085) implies:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_56_6 = e3
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1872), (2086) are inconsistent by sub-proof
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3244.
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_56_12 = e3 & op(e0, e3) = e3
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2087) implies:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_56_12 = e3
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2022) gives:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_54_6 = e2
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (2089) imply:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_52_9 = e2
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2090) implies:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) all_52_9 = e2
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (2091) imply:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) ~ (all_52_13 = e2)
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2092) implies:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) ~ (all_52_13 = e2)
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2091) imply:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) op(e2, e1) = e2
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2095) gives:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_56_1 = e0 & op(e3, e2) = e0
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2096) implies:
% 243.64/47.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) all_56_1 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2098) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_56_0 = e0 & op(e3, e3) = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2099) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) op(e3, e3) = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2015), (2100), (function-axioms) are
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_56_2 = e0 & op(e2, e3) = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2101) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_56_2 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2034) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_54_12 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (2009), (2103) are inconsistent by
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3123.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) ~ (all_54_12 = e2)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_54_12 = e1 | all_54_12 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2105) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_54_12 = e1
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (1527), (2106) are inconsistent by
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_54_12 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (2107) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_52_3 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2108) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_52_3 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2109) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) ~ (all_52_1 = e0)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2009), (2109) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) ~ (e2 = e0)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1527), (2109) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) ~ (e1 = e0)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_54_4 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (2113) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_52_1 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2114) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_52_1 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (2115) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) ~ (all_52_13 = e3)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2116) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) ~ (all_52_13 = e3)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (2011), (2093), (2118),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3451.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2119) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_56_11 = e2 & op(e1, e0) = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2120) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) all_56_11 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2122) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_56_6 = e3 & op(e1, e3) = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2123) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_56_6 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1872), (2124) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) e3 = e1
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2125) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) e3 = e1
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2030), (2126) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_56_14 = e1
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2088), (2126) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_56_12 = e1
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (208), (209),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042), (2127), (2128), (function-axioms) are
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3302.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_56_7 = e3 & op(e1, e2) = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2129) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_56_7 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2131) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) all_56_2 = e3 & op(e2, e3) = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2132) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_56_2 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2102), (2133) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) e3 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2134) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) e3 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2130), (2135) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_56_7 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097), (2136), (function-axioms) are inconsistent
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3336.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_56_3 = e3 & op(e2, e2) = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2137) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) op(e2, e2) = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1860), (2138), (function-axioms) are
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (2094), (2117), (2139),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2497.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2140) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_56_8 = e3 & op(e1, e1) = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (2141), (function-axioms) are
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) all_56_11 = e3 & op(e1, e0) = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2142) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_56_11 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2121), (2143) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) e3 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2144) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) e3 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2030), (2145) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_56_14 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (1114), (1863), (2038),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) are inconsistent by sub-proof #2739.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) all_56_15 = e2 & op(e0, e0) = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2147) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_56_15 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1538), (2148) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) e2 = e1
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2149) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) e2 = e1
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2042), (2150) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_56_13 = e1
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (227), (228), (1860),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097), (2151), (function-axioms) are inconsistent
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2792.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (1876), (2008), (2110), (2152) are
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2680.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (1104), (2088), (2153),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2641.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) all_56_3 = e0 & op(e2, e2) = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (382), (2154), (function-axioms) are
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (162), (1105), (2043), (2155),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2499.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_54_6 = e1 | all_54_6 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (1107), (1882), (2156) are inconsistent by
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3127.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2157) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_56_14 = e2 & op(e0, e1) = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2158) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) all_56_14 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (1114), (1863), (2038),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) are inconsistent by sub-proof #2739.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_56_15 = e2 & op(e0, e0) = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2160) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_56_15 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1538), (2161) are inconsistent by sub-proof
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3014.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2162) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) all_56_8 = e2 & op(e1, e1) = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2163) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) op(e1, e1) = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (117),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (158), (159), (160), (162), (164), (165),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (208), (211), (213), (214), (216),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (225), (226), (227), (228),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (376), (382), (1531), (1538), (1539),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858), (1860), (1864), (1872), (2009), (2011),
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015), (2164), (function-axioms) are inconsistent
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2867.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_56_14 = e2 & op(e0, e1) = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2165) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_56_14 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2030), (2166) are inconsistent by sub-proof
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3105.
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2167) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_54_14 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (2168) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_52_11 = e2
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (2169) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) ~ (all_52_7 = e2)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2169) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) ~ (all_52_9 = e2)
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_54_6 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (2172) imply:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_52_9 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2173) implies:
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_52_9 = e3
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2174) imply:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) ~ (all_52_1 = e3)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2174) imply:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) op(e2, e1) = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2177) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_56_1 = e2 & op(e3, e2) = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2178) implies:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_56_1 = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (73), (110), (112), (113), (117), (118), (120),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (128), (133), (134), (135),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (145),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (190), (192), (193), (195), (196),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (199), (200), (201), (202), (203), (206),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (235),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (241), (242), (249), (250), (252), (253),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (262), (264), (271), (272), (273), (274),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (326), (351), (353), (356), (360), (362),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371), (372), (373), (374), (375), (376), (377),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380), (382), (1103), (1104), (1105), (1106),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107), (1109), (1114), (1531), (1538), (1539),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858), (1860), (1864), (1872), (2009), (2011),
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014), (2015), (2179), (function-axioms) are
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2488.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_56_3 = e2 & op(e2, e2) = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2180) implies:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) op(e2, e2) = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1860), (2181), (function-axioms) are
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2182) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) all_56_7 = e2 & op(e1, e2) = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2183) implies:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_56_7 = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_54_4 = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (2175), (2185) are inconsistent by
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3359.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1872), (2184), (2187) are inconsistent
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2487.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2188) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_56_8 = e3 & op(e1, e1) = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (2189), (function-axioms) are
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_56_11 = e3 & op(e1, e0) = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2190) implies:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) all_56_11 = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) op(e1, e0) = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2193) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) all_56_9 = e2 & op(e3, e0) = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2011), (2194), (function-axioms) are
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_56_10 = e2 & op(e2, e0) = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2195) implies:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) op(e2, e0) = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2186) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) all_54_4 = e2
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (2008), (2197) are inconsistent by
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3355.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) ~ (all_54_4 = e2)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_54_4 = e1 | all_54_4 = e0
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2199) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_54_4 = e1
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (1876), (2200) are inconsistent by
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3354.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_54_4 = e0
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (2201) imply:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_52_1 = e0
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2202) implies:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_52_1 = e0
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2203) imply:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) ~ (all_52_3 = e0)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2204) implies:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) ~ (all_52_3 = e0)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_54_12 = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (2206) imply:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_52_3 = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2207) implies:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_52_3 = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2208) imply:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) ~ (all_52_7 = e3)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2209) implies:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) ~ (all_52_7 = e3)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) all_54_13 = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (2210), (2211) are inconsistent by
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2486.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2213) gives:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (1864), (2008), (2214), (function-axioms)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2869.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1858), (2015), (2215), (function-axioms)
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3404.
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (123), (146), (169), (198), (264), (272),
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876), (1882), (2171), (2176), (2199), (2217),
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2970.
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2218) gives:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2219) implies:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) op(e3, e0) = e3
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2212) gives:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_54_13 = e2
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (2170), (2221) are inconsistent by
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2968.
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_54_13 = e1 | all_54_13 = e0
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (135), (168), (203), (251), (275), (1528),
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880), (2010), (2220), (2222), (function-axioms)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2660.
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2223) gives:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2224) implies:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_57_27 = e2
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2212) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_54_13 = e2
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (2170), (2226) are inconsistent by
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2968.
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) ~ (all_54_13 = e2)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_54_13 = e1 | all_54_13 = e0
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2228) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_54_13 = e1
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (1528), (2229) are inconsistent by
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2967.
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_54_13 = e0
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (2230) imply:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) all_52_7 = e0
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2231) implies:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) all_52_7 = e0
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (2232) imply:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) ~ (all_52_4 = e0)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_54_1 = e3
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (2234) imply:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) all_52_4 = e3
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2235) implies:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) all_52_4 = e3
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2236) imply:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) ~ (all_52_12 = e3)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2237) implies:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) ~ (all_52_12 = e3)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_54_3 = e3
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (2238), (2239) are inconsistent by
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3145.
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) (all_57_24 = all_57_25 & op(all_57_25, e3) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e3, e0) = all_57_25 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_26 = all_57_27 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_27, e2) = all_57_27 & op(e2, e0) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & $i(all_57_27))
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2241) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_57_24 = all_57_25 & op(all_57_25, e3) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e3, e0) = all_57_25 & $i(all_57_25)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (159), (168), (203), (273), (275), (1530),
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880), (2011), (2205), (2240), (2242),
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2483.
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_57_26 = all_57_27 & op(all_57_27, e2) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e2, e0) = all_57_27 & $i(all_57_27)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2243) implies:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) op(all_57_27, e2) = all_57_27
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2225), (2244) imply:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) op(e2, e2) = e2
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1860), (2245), (function-axioms) are
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) (all_57_28 = all_57_29 & op(all_57_29, e1) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e1, e0) = all_57_29 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_30 = all_57_31 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_31, e0) = all_57_31 & op(e0, e0) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (134), (160), (169), (203), (251), (273),
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (1530), (1531), (1539), (1880), (2010),
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011), (2170), (2192), (2212), (2240), (2246),
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2480.
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (1880), (2010), (2233), (2247) are
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2662.
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2248) implies:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2249) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2250) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2251) implies:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) op(e0, e3) = e0
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2205), (2252), (function-axioms) are
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3461.
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) & op(e2,
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2253) implies:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) ~ (all_57_11 = e2)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) op(e2, e2) = all_57_11
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) all_54_11 = e3
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (2256) imply:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_52_14 = e3
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2257) implies:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_52_14 = e3
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2258) imply:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) ~ (all_52_12 = e3)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) all_54_3 = e3
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (2259), (2260) are inconsistent by
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3145.
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) (all_57_24 = all_57_25 & op(all_57_25, e3) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e3, e0) = all_57_25 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_26 = all_57_27 &
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_27, e2) = all_57_27 & op(e2, e0) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & $i(all_57_27))
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2262) gives:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_57_24 = all_57_25 & op(all_57_25, e3) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e3, e0) = all_57_25 & $i(all_57_25)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (159), (168), (203), (273), (275), (1530),
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880), (2011), (2205), (2261), (2263),
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2483.
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_57_26 = all_57_27 & op(all_57_27, e2) =
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e2, e0) = all_57_27 & $i(all_57_27)
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2264) implies:
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) op(e2, e0) = all_57_27
% 243.64/47.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) op(all_57_27, e2) = all_57_27
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2261) gives:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_54_3 = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (2011), (2267) are inconsistent by
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3144.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_54_3 = e1 | all_54_3 = e0
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2268) gives:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_54_3 = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (1530), (2269) are inconsistent by
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2647.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) all_54_3 = e0
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (2270) imply:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) all_52_12 = e0
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2271) implies:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_52_12 = e0
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2272) imply:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) ~ (all_52_4 = e0)
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e0, e2, simplifying with (2196), (2265)
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_57_27 = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2266), (2274) imply:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) op(e2, e2) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2254), (2255), (2275), (function-axioms) are
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3468.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (1880), (2010), (2273), (2276) are
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2662.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) (all_57_28 = all_57_29 & op(all_57_29, e1) =
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e1, e0) = all_57_29 &
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_30 = all_57_31 &
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_31, e0) = all_57_31 & op(e0, e0) =
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (134), (160), (169), (203), (251), (273),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (1530), (1531), (1539), (1880), (2010),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011), (2170), (2192), (2212), (2261), (2277),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2480.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) ~ (all_54_11 = e3)
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (253), (2278) imply:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) ~ (all_52_14 = e3)
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2192), (2279), (function-axioms) are
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3141.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) & op(e1,
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_5 & op(e1, e2) = all_57_13 &
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13)
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_29)) | (all_57_29 =
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e3) & ~ (all_57_15 = e2) &
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 & op(e0,
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_21) &
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (1108), (1531), (2280),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2479.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (252), (1873), (2009), (2205),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281), (function-axioms) are inconsistent by
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2835.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1538), (2191), (2282) are inconsistent
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2478.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_56_13 = e2 & op(e0, e2) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2283) implies:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) op(e0, e2) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2170), (2284), (function-axioms) are
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3070.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (1107), (1882), (2171), (2285) are
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3126.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) all_54_14 = e1 | all_54_14 = e0
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1108), (1529), (2286) are inconsistent by
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3122.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_56_1 = e2 & op(e3, e2) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2287) implies:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_56_1 = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | (2289) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2289) gives:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_56_0 = e2 & op(e3, e3) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2290) implies:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) all_56_0 = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) op(e3, e3) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (73), (110), (112), (113), (117), (118), (120),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (128), (133), (134), (135),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (145),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (190), (192), (193), (195), (196),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (199), (200), (201), (202), (203), (206),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (235),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (241), (242), (249), (250), (252), (253),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (262), (264), (271), (272), (273), (274),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (326), (351), (353), (356), (360), (362),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (371), (372), (373), (374), (375), (376), (377),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (380), (382), (1103), (1104), (1105), (1106),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (1107), (1109), (1114), (1531), (1538), (1539),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (1858), (1860), (1864), (1872), (2009), (2011),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2288), (2291), (2292), (function-axioms) are
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2488.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_56_2 = e2 & op(e2, e3) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2293) implies:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) op(e2, e3) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2008), (2294), (function-axioms) are
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | (2295) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2295) gives:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_56_6 = e2 & op(e1, e3) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2296) implies:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_56_6 = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1872), (2297) imply:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) e2 = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (225), (227),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (382), (1860), (2288), (2298),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | #2955.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_56_12 = e2 & op(e0, e3) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2009), (2299), (function-axioms) are
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | (2300) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2300) gives:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_56_4 = e2 & op(e3, e1) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2301) implies:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_56_4 = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1863), (2302) are inconsistent by sub-proof
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | #2958.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_56_9 = e2 & op(e3, e0) = e2
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2011), (2303), (function-axioms) are
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | (2304) all_56_7 = e1 & op(e1, e2) = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2304) implies:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | (2305) op(e1, e2) = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1858), (2305), (function-axioms) are
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3411.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | (2306) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (1114), (1531), (2306),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | | #3049.
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | (2307) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 243.64/47.80 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.64/47.80 | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (1528), (1858), (2307),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.80 | | | | | | | | | | | | | | | | | | #3080.
% 243.64/47.80 | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | End of split
% 243.64/47.80 | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | (2308) all_56_5 = e1 & op(e2, e1) = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | ALPHA: (2308) implies:
% 243.64/47.80 | | | | | | | | | | | | | | | | | (2309) all_56_5 = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | | (2310) op(e2, e1) = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 243.64/47.80 | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.80 | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | (2311) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 243.64/47.80 | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (45), (225),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | (227), (228), (378), (382), (1860), (2311),
% 243.64/47.80 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.80 | | | | | | | | | | | | | | | | | | #2477.
% 243.64/47.80 | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.80 | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | (2312) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 243.64/47.80 | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | BETA: splitting (2312) gives:
% 243.64/47.80 | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | (2313) all_56_4 = e1 & op(e3, e1) = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | | | |
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | ALPHA: (2313) implies:
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | (2314) all_56_4 = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | | | | (2315) op(e3, e1) = e1
% 243.64/47.80 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (219), (220), (376),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | (1115), (2309), (2310), (2314), (2315),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | #2475.
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | (2316) all_56_9 = e1 & op(e3, e0) = e1
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1530), (2316), (function-axioms) are
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | (2317) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 243.64/47.81 | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | BETA: splitting (2317) gives:
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | (2318) all_56_8 = e1 & op(e1, e1) = e1
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1114), (2318) are inconsistent by sub-proof
% 243.64/47.81 | | | | | | | | | | | | | | | | | #3057.
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | (2319) all_56_14 = e1 & op(e0, e1) = e1
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1529), (2319), (function-axioms) are
% 243.64/47.81 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | (2320) all_56_11 = e0 & op(e1, e0) = e0
% 243.64/47.81 | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | ALPHA: (2320) implies:
% 243.64/47.81 | | | | | | | | | | | (2321) op(e1, e0) = e0
% 243.64/47.81 | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | REF_CLOSE: (160), (1109), (2321), (function-axioms) are
% 243.64/47.81 | | | | | | | | | | | inconsistent by sub-proof #3334.
% 243.64/47.81 | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | |
% 243.64/47.81 | | | | | | | | End of split
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | (2322) all_16_2 = e0
% 243.64/47.81 | | | | | | | | (2323) ( ~ (all_16_0 = e2) & op(e3, all_16_1) = all_16_0 &
% 243.64/47.81 | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) & $i(all_16_1))
% 243.64/47.81 | | | | | | | | | ( ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 243.64/47.81 | | | | | | | | $i(all_16_1))
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | COMBINE_EQS: (331), (2322) imply:
% 243.64/47.81 | | | | | | | | (2324) all_10_2 = e0
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | SIMP: (2324) implies:
% 243.64/47.81 | | | | | | | | (2325) all_10_2 = e0
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | COMBINE_EQS: (284), (2325) imply:
% 243.64/47.81 | | | | | | | | (2326) all_50_2 = e0
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | REDUCE: (340), (2325) imply:
% 243.64/47.81 | | | | | | | | (2327) ~ (all_52_1 = e0)
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | REDUCE: (342), (2325) imply:
% 243.64/47.81 | | | | | | | | (2328) ~ (all_52_2 = e0)
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | REDUCE: (344), (2325) imply:
% 243.64/47.81 | | | | | | | | (2329) ~ (all_52_3 = e0)
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | REDUCE: (346), (2325) imply:
% 243.64/47.81 | | | | | | | | (2330) ~ (all_52_4 = e0)
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | REDUCE: (348), (2325) imply:
% 243.64/47.81 | | | | | | | | (2331) ~ (all_52_8 = e0)
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | REDUCE: (350), (2325) imply:
% 243.64/47.81 | | | | | | | | (2332) ~ (all_52_12 = e0)
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | REDUCE: (378), (2325) imply:
% 243.64/47.81 | | | | | | | | (2333) ~ (e1 = e0)
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | BETA: splitting (230) gives:
% 243.64/47.81 | | | | | | | |
% 243.64/47.81 | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | |
% 243.64/47.81 | | | | | | | | | (2334) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 &
% 243.64/47.81 | | | | | | | | | op(e3, e2) = e0)
% 243.64/47.81 | | | | | | | | |
% 243.64/47.81 | | | | | | | | | BETA: splitting (2334) gives:
% 243.64/47.81 | | | | | | | | |
% 243.64/47.81 | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | (2335) all_56_0 = e0 & op(e3, e3) = e0
% 243.64/47.81 | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | ALPHA: (2335) implies:
% 243.64/47.81 | | | | | | | | | | (2336) all_56_0 = e0
% 243.64/47.81 | | | | | | | | | | (2337) op(e3, e3) = e0
% 243.64/47.81 | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | BETA: splitting (58) gives:
% 243.64/47.81 | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | (2338) ~ (all_18_2 = e0)
% 243.64/47.81 | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | REDUCE: (328), (2338) imply:
% 243.64/47.81 | | | | | | | | | | | (2339) ~ (all_6_2 = e0)
% 243.64/47.81 | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | BETA: splitting (61) gives:
% 243.64/47.81 | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | (2340) ~ (all_20_2 = e1)
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | REDUCE: (322), (2340) imply:
% 243.64/47.81 | | | | | | | | | | | | (2341) ~ (all_4_2 = e1)
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | BETA: splitting (189) gives:
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | (2342) all_54_15 = e3
% 243.64/47.81 | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | REF_CLOSE: (249), (380), (2342) are inconsistent by sub-proof
% 243.64/47.81 | | | | | | | | | | | | | #3475.
% 243.64/47.81 | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | (2343) ~ (all_54_15 = e3)
% 243.64/47.81 | | | | | | | | | | | | | (2344) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 243.64/47.81 | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | BETA: splitting (2344) gives:
% 243.64/47.81 | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | (2345) all_54_15 = e2
% 243.64/47.81 | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (2345) are inconsistent by sub-proof
% 243.64/47.81 | | | | | | | | | | | | | | #3474.
% 243.64/47.81 | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | (2346) ~ (all_54_15 = e2)
% 243.64/47.81 | | | | | | | | | | | | | | (2347) all_54_15 = e1 | all_54_15 = e0
% 243.64/47.81 | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | BETA: splitting (2347) gives:
% 243.64/47.81 | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | (2348) all_54_15 = e1
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | REF_CLOSE: (249), (2341), (2348) are inconsistent by
% 243.64/47.81 | | | | | | | | | | | | | | | sub-proof #3473.
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | (2349) all_54_15 = e0
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2349) imply:
% 243.64/47.81 | | | | | | | | | | | | | | | (2350) all_4_2 = e0
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | SIMP: (2350) implies:
% 243.64/47.81 | | | | | | | | | | | | | | | (2351) all_4_2 = e0
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | REDUCE: (364), (2351) imply:
% 243.64/47.81 | | | | | | | | | | | | | | | (2352) ~ (all_52_7 = e0)
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | REDUCE: (371), (2351) imply:
% 243.64/47.81 | | | | | | | | | | | | | | | (2353) ~ (all_52_11 = e0)
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | REDUCE: (380), (2351) imply:
% 243.64/47.81 | | | | | | | | | | | | | | | (2354) ~ (e3 = e0)
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | REDUCE: (375), (2351) imply:
% 243.64/47.81 | | | | | | | | | | | | | | | (2355) ~ (e2 = e0)
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | (2356) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | BETA: splitting (2356) gives:
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | (2357) all_56_4 = e0 & op(e3, e1) = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2331), (2357), (function-axioms) are
% 243.64/47.81 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | (2358) all_56_5 = e0 & op(e2, e1) = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | ALPHA: (2358) implies:
% 243.64/47.81 | | | | | | | | | | | | | | | | | (2359) all_56_5 = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | | (2360) op(e2, e1) = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | (2361) all_56_15 = e0 & op(e0, e0) = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | ALPHA: (2361) implies:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | (2362) all_56_15 = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | | | (2363) op(e0, e0) = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 243.64/47.81 | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | (2364) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (2364) gives:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (2365) all_56_1 = e0 & op(e3, e2) = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2330), (2365), (function-axioms) are
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (2366) all_56_3 = e0 & op(e2, e2) = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (382), (2366), (function-axioms) are
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | (2367) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (2367) gives:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (2368) all_56_7 = e0 & op(e1, e2) = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (76), (85), (91), (106), (112), (113), (117),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (126), (128), (134),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (139), (141), (143), (145), (146), (148), (157),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (190), (192), (193), (194),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (196), (197), (199), (200), (202), (207), (208),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (210), (211), (213), (214), (215), (216), (217),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (218), (220), (221), (222), (223), (224), (225),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (231), (232), (233),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (234), (235), (239), (241), (250), (252), (253),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (262), (263), (271), (272), (274), (306), (313),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (326), (336), (338), (351), (352), (358), (360),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (362), (365), (366), (368), (370), (376), (377),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (2323), (2326), (2329), (2332), (2336), (2337),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (2359), (2360), (2362), (2363), (2368),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | #2426.
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (2369) all_56_13 = e0 & op(e0, e2) = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | ALPHA: (2369) implies:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | (2370) op(e0, e2) = e0
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2352), (2370), (function-axioms) are
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | (2371) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.64/47.81 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 243.64/47.81 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 243.64/47.81 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 243.64/47.81 | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 243.64/47.81 | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | ALPHA: (2371) implies:
% 243.64/47.81 | | | | | | | | | | | | | | | | | | (2372) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 243.64/47.81 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 243.64/47.81 | | | | | | | | | | | | | | | | | | e1) = e0)
% 243.64/47.81 | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (2329), (2352), (2353),
% 243.64/47.81 | | | | | | | | | | | | | | | | | | (2372), (function-axioms) are inconsistent by
% 243.64/47.81 | | | | | | | | | | | | | | | | | | sub-proof #3078.
% 243.64/47.81 | | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | (2373) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 243.64/47.81 | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (2339), (2353), (2373),
% 243.64/47.81 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.81 | | | | | | | | | | | | | | | | #3206.
% 243.64/47.81 | | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | End of split
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | Case 2:
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | (2374) all_20_2 = e1
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | COMBINE_EQS: (322), (2374) imply:
% 243.64/47.81 | | | | | | | | | | | | (2375) all_4_2 = e1
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | REDUCE: (353), (2375) imply:
% 243.64/47.81 | | | | | | | | | | | | (2376) ~ (all_52_3 = e1)
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | REDUCE: (364), (2375) imply:
% 243.64/47.81 | | | | | | | | | | | | (2377) ~ (all_52_7 = e1)
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | REDUCE: (372), (2375) imply:
% 243.64/47.81 | | | | | | | | | | | | (2378) ~ (all_52_12 = e1)
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | REDUCE: (374), (2375) imply:
% 243.64/47.81 | | | | | | | | | | | | (2379) ~ (all_52_14 = e1)
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | REDUCE: (380), (2375) imply:
% 243.64/47.81 | | | | | | | | | | | | (2380) ~ (e3 = e1)
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | REDUCE: (375), (2375) imply:
% 243.64/47.81 | | | | | | | | | | | | (2381) ~ (e2 = e1)
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | REDUCE: (36), (2375) imply:
% 243.64/47.81 | | | | | | | | | | | | (2382) op(e0, e0) = e1
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | BETA: splitting (210) gives:
% 243.64/47.81 | | | | | | | | | | | |
% 243.64/47.81 | | | | | | | | | | | | Case 1:
% 243.64/47.81 | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | (2383) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 243.64/47.82 | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 243.64/47.82 | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | BETA: splitting (2383) gives:
% 243.64/47.82 | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | (2384) all_56_9 = e1 & op(e3, e0) = e1
% 243.64/47.82 | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | REF_CLOSE: (168), (2378), (2384), (function-axioms) are
% 243.64/47.82 | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 243.64/47.82 | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | Case 2:
% 243.64/47.82 | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | (2385) all_56_10 = e1 & op(e2, e0) = e1
% 243.64/47.82 | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | ALPHA: (2385) implies:
% 243.64/47.82 | | | | | | | | | | | | | | (2386) all_56_10 = e1
% 243.64/47.82 | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 243.64/47.82 | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | (2387) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 243.64/47.82 | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.64/47.82 | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (231), (233),
% 243.64/47.82 | | | | | | | | | | | | | | | (235), (382), (2336), (2337), (2387),
% 243.64/47.82 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.82 | | | | | | | | | | | | | | | #2744.
% 243.64/47.82 | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | Case 2:
% 243.64/47.82 | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | (2388) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 243.64/47.82 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 243.64/47.82 | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | BETA: splitting (2388) gives:
% 243.64/47.82 | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | (2389) all_56_5 = e0 & op(e2, e1) = e0
% 243.64/47.82 | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | ALPHA: (2389) implies:
% 243.64/47.82 | | | | | | | | | | | | | | | | (2390) all_56_5 = e0
% 243.64/47.82 | | | | | | | | | | | | | | | | (2391) op(e2, e1) = e0
% 243.64/47.82 | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 243.64/47.82 | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | (2392) all_56_15 = e0 & op(e0, e0) = e0
% 243.64/47.82 | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | ALPHA: (2392) implies:
% 243.64/47.82 | | | | | | | | | | | | | | | | | (2393) all_56_15 = e0
% 243.64/47.82 | | | | | | | | | | | | | | | | | (2394) op(e0, e0) = e0
% 243.64/47.82 | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.64/47.82 | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | (2395) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.64/47.82 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.64/47.82 | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2376), (2377), (2395),
% 243.64/47.82 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.64/47.82 | | | | | | | | | | | | | | | | | | #3076.
% 243.64/47.82 | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.82 | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | (2396) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 243.64/47.82 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.64/47.82 | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | BETA: splitting (2396) gives:
% 243.64/47.82 | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | (2397) all_56_14 = e1 & op(e0, e1) = e1
% 243.64/47.82 | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | ALPHA: (2397) implies:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | (2398) all_56_14 = e1
% 243.64/47.82 | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | (2399) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2399) gives:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | (2400) all_56_4 = e3 & op(e3, e1) = e3
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2400) implies:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | (2401) all_56_4 = e3
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | (2402) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2402) gives:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | (2403) all_56_2 = e3 & op(e2, e3) = e3
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2403) implies:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | (2404) all_56_2 = e3
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | (2405) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2405) gives:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2406) all_56_0 = e1 & op(e3, e3) = e1
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2336), (2406) are inconsistent by sub-proof
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | #3247.
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_56_2 = e1 & op(e2, e3) = e1
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2404), (2407) are inconsistent by sub-proof
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | #3205.
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | (2408) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2408) gives:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2409) all_56_6 = e1 & op(e1, e3) = e1
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2409) implies:
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2410) all_56_6 = e1
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (76), (85), (91), (106), (112), (113), (117),
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (126), (128), (134),
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (139), (141), (143), (145), (146), (148), (157),
% 243.64/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (190), (192), (193), (194),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (199), (200), (202), (207), (208),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (213), (214), (215), (216),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (222), (223),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (231),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (239), (241), (250),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (252), (253), (262), (263), (271), (272), (274),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (306), (313), (326), (336), (338), (351), (352),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (358), (360), (362), (365), (366), (368), (370),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (376), (377), (382), (2323), (2326), (2329),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2332), (2336), (2337), (2378), (2386), (2390),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2391), (2393), (2394), (2398), (2401), (2404),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2410), (function-axioms) are inconsistent by
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2416.
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2411) all_56_12 = e1 & op(e0, e3) = e1
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2376), (2411), (function-axioms) are
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3077.
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | (2412) all_56_3 = e3 & op(e2, e2) = e3
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2412) implies:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | (2413) op(e2, e2) = e3
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | (2414) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2414) gives:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2415) all_56_4 = e2 & op(e3, e1) = e2
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2401), (2415) are inconsistent by sub-proof
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | #3230.
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2416) all_56_5 = e2 & op(e2, e1) = e2
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2416) implies:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_56_5 = e2
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2390), (2417) are inconsistent by sub-proof
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | #3367.
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | (2418) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2418) gives:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_56_8 = e2 & op(e1, e1) = e2
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2419) implies:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2420) op(e1, e1) = e2
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2421) gives:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) all_56_2 = e2 & op(e2, e3) = e2
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2422) implies:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_56_2 = e2
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) op(e2, e3) = e2
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2336), (2424), (2425),
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2415.
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2426) gives:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_56_6 = e1 & op(e1, e3) = e1
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2427) implies:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) all_56_6 = e1
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2429) gives:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) all_56_0 = e3 & op(e3, e3) = e3
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2430) implies:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) op(e3, e3) = e3
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2337), (2431), (function-axioms) are
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3246.
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) all_56_2 = e3 & op(e2, e3) = e3
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2432) implies:
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) all_56_2 = e3
% 243.94/47.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (76), (85), (91), (106), (112), (113), (117),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (126), (128), (134),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (141), (143), (145), (146), (148), (157),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (190), (192), (193), (194),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (199), (200), (202), (207), (208),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (213), (214), (215), (216),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (222), (223),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (231),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (239), (241), (250),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (253), (262), (263), (271), (272), (274),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (306), (313), (326), (336), (338), (351), (352),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (360), (362), (365), (366), (368), (370),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (377), (382), (2323), (2326), (2329),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332), (2336), (2337), (2378), (2386), (2390),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391), (2393), (2394), (2398), (2401), (2428),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433), (function-axioms) are inconsistent by
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2416.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2434) gives:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) all_56_6 = e3 & op(e1, e3) = e3
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2428), (2435) are inconsistent by sub-proof
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2637.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) all_56_12 = e3 & op(e0, e3) = e3
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2436) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) all_56_12 = e3
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2438) gives:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) all_56_12 = e2 & op(e0, e3) = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2439) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_56_12 = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2437), (2440) imply:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) e3 = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2441) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) e3 = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2401), (2442) imply:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) all_56_4 = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (2390), (2420), (2443),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2466.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_56_13 = e2 & op(e0, e2) = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2444) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) op(e0, e2) = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2446) gives:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) all_56_1 = e0 & op(e3, e2) = e0
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2447) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) all_56_1 = e0
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (2337),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401), (2448), (function-axioms) are inconsistent
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2413.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_56_3 = e0 & op(e2, e2) = e0
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (382), (2449), (function-axioms) are
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2450) gives:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) all_56_7 = e0 & op(e1, e2) = e0
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (76), (85), (91), (106), (112), (113), (117),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (126), (128), (134),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (141), (143), (145), (146), (148), (157),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (190), (192), (193), (194),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (199), (200), (202), (207), (208),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (213), (214), (215), (216), (217),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (221), (222), (223), (224), (225),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (231), (232), (233),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (239), (241), (250), (252), (253),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262), (263), (271), (272), (274), (306), (313),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326), (336), (338), (351), (352), (358), (360),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (365), (366), (368), (370), (376), (377),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323), (2326), (2329), (2332), (2336), (2337),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390), (2391), (2393), (2394), (2451),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2426.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) all_56_13 = e0 & op(e0, e2) = e0
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2452) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) op(e0, e2) = e0
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2445), (2453), (function-axioms) are
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2454) gives:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) all_56_14 = e2 & op(e0, e1) = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2455) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) all_56_14 = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (2390), (2401), (2420),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456), (function-axioms) are inconsistent by
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3100.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) all_56_15 = e2 & op(e0, e0) = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2457) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_56_15 = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2393), (2458) imply:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) e2 = e0
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2423), (2459) imply:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_56_2 = e0
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (2337), (2428), (2437),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460), (function-axioms) are inconsistent by
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2412.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) all_56_12 = e1 & op(e0, e3) = e1
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2376), (2461), (function-axioms) are
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3077.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_56_3 = e2 & op(e2, e2) = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2462) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) op(e2, e2) = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2413), (2463), (function-axioms) are
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (2386), (2390), (2464) are inconsistent
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2417.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2465) all_56_14 = e2 & op(e0, e1) = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2465) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_56_14 = e2
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2398), (2466) are inconsistent by sub-proof
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | | #3309.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | (2467) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (219),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | (2386), (2401), (2467), (function-axioms) are
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2411.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | (2468) all_56_5 = e3 & op(e2, e1) = e3
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2468) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | (2469) all_56_5 = e3
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2390), (2469) are inconsistent by sub-proof
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | | #3325.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | (2470) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (376), (2398), (2470),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | | #2410.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (2471) all_56_15 = e1 & op(e0, e0) = e1
% 243.94/47.83 | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | ALPHA: (2471) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (2472) all_56_15 = e1
% 243.94/47.83 | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (85), (91), (106), (113), (117), (118), (121),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (145),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (162), (163), (164), (167), (168), (169), (170),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (190), (191), (192), (194), (195), (196), (198),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (199), (200), (203), (206), (207), (208), (209),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (216), (217),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (241), (250),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (251), (252), (261), (262), (264), (271), (272),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (275), (306), (326), (336), (338), (351), (352),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (356), (358), (362), (363), (365), (366), (368),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (370), (376), (377), (382), (2323), (2326),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (2327), (2328), (2329), (2330), (2331), (2332),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (2336), (2337), (2339), (2376), (2377), (2378),
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | (2382), (2472), (function-axioms) are inconsistent
% 243.94/47.83 | | | | | | | | | | | | | | | | | | | by sub-proof #2352.
% 243.94/47.83 | | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | End of split
% 243.94/47.83 | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.83 | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | (2473) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.94/47.83 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 243.94/47.83 | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 243.94/47.83 | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 243.94/47.83 | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 243.94/47.83 | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | ALPHA: (2473) implies:
% 243.94/47.83 | | | | | | | | | | | | | | | | | (2474) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 243.94/47.83 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 243.94/47.83 | | | | | | | | | | | | | | | | | e1) = e0)
% 243.94/47.83 | | | | | | | | | | | | | | | | | (2475) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 243.94/47.83 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 243.94/47.83 | | | | | | | | | | | | | | | | | e0) = e0)
% 243.94/47.83 | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 243.94/47.83 | | | | | | | | | | | | | | | | |
% 243.94/47.83 | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.83 | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | (2476) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 243.94/47.84 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 243.94/47.84 | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2376), (2377), (2476),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | #3076.
% 243.94/47.84 | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | (2477) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 243.94/47.84 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.94/47.84 | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | BETA: splitting (2477) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | (2478) all_56_14 = e1 & op(e0, e1) = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | ALPHA: (2478) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | (2479) all_56_14 = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (2474) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | (2480) all_56_12 = e0 & op(e0, e3) = e0
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (2480) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | (2481) op(e0, e3) = e0
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2329), (2481), (function-axioms) are
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3461.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | (2482) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2482) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | (2483) all_56_13 = e0 & op(e0, e2) = e0
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2483) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | (2484) all_56_13 = e0
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | (2485) op(e0, e2) = e0
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | (2486) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2486) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | (2487) all_56_12 = e3 & op(e0, e3) = e3
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2487) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | (2488) all_56_12 = e3
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | (2489) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (2485), (2488), (2489),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | #2351.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | (2490) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2490) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_56_14 = e2 & op(e0, e1) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2491) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_56_14 = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2479), (2492) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | #3309.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_56_15 = e2 & op(e0, e0) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2493) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_56_15 = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2495) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_56_4 = e3 & op(e3, e1) = e3
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2496) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_56_4 = e3
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2475) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_56_9 = e0 & op(e3, e0) = e0
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2332), (2498), (function-axioms) are
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2499) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_56_10 = e0 & op(e2, e0) = e0
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2386), (2500) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2350.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_56_11 = e0 & op(e1, e0) = e0
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2501) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_56_11 = e0
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_56_4 = e2 & op(e3, e1) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2497), (2504) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3230.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_56_5 = e2 & op(e2, e1) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2390), (2505) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2429.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2506) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) all_56_8 = e2 & op(e1, e1) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2507) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) op(e1, e1) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2509) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) all_56_0 = e2 & op(e3, e3) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2510) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) op(e3, e3) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2337), (2511), (function-axioms) are
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) all_56_1 = e2 & op(e3, e2) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2512) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_56_1 = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2514) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_56_0 = e1 & op(e3, e3) = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2336), (2515) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3247.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_56_1 = e1 & op(e3, e2) = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2516) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) all_56_1 = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2513), (2517) imply:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) e2 = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2494), (2518) imply:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_56_15 = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (106), (113), (117), (118), (121),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (145),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (167), (168), (169), (170),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (194), (195), (196), (198),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (203), (206), (207), (208), (209),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (216), (217),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (241), (250),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (261), (262), (264), (271), (272),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (326), (336), (338), (351), (352),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356), (358), (362), (363), (365), (366), (368),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (377), (382), (2323), (2326),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327), (2328), (2329), (2330), (2331), (2332),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336), (2337), (2339), (2376), (2377), (2378),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382), (2519), (function-axioms) are inconsistent
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2352.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2520) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) all_56_4 = e1 & op(e3, e1) = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2521) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_56_4 = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2497), (2522) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3228.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_56_9 = e1 & op(e3, e0) = e1
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2378), (2523), (function-axioms) are
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) all_56_4 = e2 & op(e3, e1) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2525) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) all_56_4 = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (2390), (2508), (2526),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2466.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_56_9 = e2 & op(e3, e0) = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2527) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_56_9 = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2529) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_56_9 = e3 & op(e3, e0) = e3
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2530) implies:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) all_56_9 = e3
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2528), (2531) imply:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) e3 = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2497), (2532) imply:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) all_56_4 = e2
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (2390), (2508), (2533),
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2466.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_56_10 = e3 & op(e2, e0) = e3
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2386), (2534) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2349.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2535) gives:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) all_56_11 = e3 & op(e1, e0) = e3
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2502), (2536) are inconsistent by sub-proof
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2348.
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_56_15 = e3 & op(e0, e0) = e3
% 243.94/47.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (106), (113), (117), (118), (121),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (145),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (167), (168), (169), (170),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (194), (195), (196), (198),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (203), (206), (207), (208), (209),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (215), (216),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (222), (223),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (231),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (238), (241),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (251), (252), (261), (262), (264), (271),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (275), (306), (326), (336), (338), (351),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352), (356), (358), (362), (363), (365), (366),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368), (370), (376), (377), (382), (2323), (2326),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327), (2328), (2329), (2330), (2331), (2332),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336), (2337), (2339), (2376), (2377), (2378),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382), (2386), (2390), (2475), (2479), (2484),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485), (2537), (function-axioms) are inconsistent
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2336.
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_56_14 = e2 & op(e0, e1) = e2
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2538) implies:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) all_56_14 = e2
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2479), (2539) imply:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) e2 = e1
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2540) implies:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) e2 = e1
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2494), (2541) imply:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) all_56_15 = e1
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (106), (113), (117), (118), (121),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (145),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (167), (168), (169), (170),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (194), (195), (196), (198),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (203), (206), (207), (208), (209),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (216), (217),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (241), (250),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (261), (262), (264), (271), (272),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (326), (336), (338), (351), (352),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356), (358), (362), (363), (365), (366), (368),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (377), (382), (2323), (2326),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327), (2328), (2329), (2330), (2331), (2332),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336), (2337), (2339), (2376), (2377), (2378),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382), (2542), (function-axioms) are inconsistent
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2352.
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_56_5 = e3 & op(e2, e1) = e3
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2543) implies:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) all_56_5 = e3
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2390), (2544) are inconsistent by sub-proof
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3325.
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (376), (2479), (2545),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | | #2410.
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (2546) all_56_13 = e3 & op(e0, e2) = e3
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2546) implies:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (2547) all_56_13 = e3
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2484), (2547) are inconsistent by sub-proof
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | #2846.
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | (2548) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2548) gives:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (2549) all_56_14 = e3 & op(e0, e1) = e3
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2549) implies:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (2550) all_56_14 = e3
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2479), (2550) are inconsistent by sub-proof
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | #2784.
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (2551) all_56_15 = e3 & op(e0, e0) = e3
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (106), (113), (117), (118), (121),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (145),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (167), (168), (169), (170),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (194), (195), (196), (198),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (203), (206), (207), (208), (209),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (215), (216),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (222), (223),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (231),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (238), (241),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (250), (251), (252), (261), (262), (264), (271),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (272), (275), (306), (326), (336), (338), (351),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (352), (356), (358), (362), (363), (365), (366),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (368), (370), (376), (377), (382), (2323), (2326),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (2327), (2328), (2329), (2330), (2331), (2332),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (2336), (2337), (2339), (2376), (2377), (2378),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (2382), (2386), (2390), (2475), (2479), (2484),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | (2485), (2551), (function-axioms) are inconsistent
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2336.
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | (2552) all_56_14 = e0 & op(e0, e1) = e0
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2479), (2552) are inconsistent by sub-proof
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | | #3305.
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (2553) all_56_15 = e1 & op(e0, e0) = e1
% 243.94/47.85 | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | ALPHA: (2553) implies:
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (2554) all_56_15 = e1
% 243.94/47.85 | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (85), (91), (106), (113), (117), (118), (121),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (145),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (162), (163), (164), (167), (168), (169), (170),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (190), (191), (192), (194), (195), (196), (198),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (199), (200), (203), (206), (207), (208), (209),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (216), (217),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (241), (250),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (251), (252), (261), (262), (264), (271), (272),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (275), (306), (326), (336), (338), (351), (352),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (356), (358), (362), (363), (365), (366), (368),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (370), (376), (377), (382), (2323), (2326),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (2327), (2328), (2329), (2330), (2331), (2332),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (2336), (2337), (2339), (2376), (2377), (2378),
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | (2382), (2554), (function-axioms) are inconsistent
% 243.94/47.85 | | | | | | | | | | | | | | | | | | | by sub-proof #2352.
% 243.94/47.85 | | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | (2555) all_56_10 = e0 & op(e2, e0) = e0
% 243.94/47.85 | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2386), (2555) are inconsistent by sub-proof
% 243.94/47.85 | | | | | | | | | | | | | | | | #2350.
% 243.94/47.85 | | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | End of split
% 243.94/47.85 | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | (2556) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 243.94/47.85 | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 243.94/47.85 | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | BETA: splitting (2556) gives:
% 243.94/47.85 | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | Case 1:
% 243.94/47.85 | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | (2557) all_56_11 = e1 & op(e1, e0) = e1
% 243.94/47.85 | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | ALPHA: (2557) implies:
% 243.94/47.85 | | | | | | | | | | | | | | (2558) op(e1, e0) = e1
% 243.94/47.85 | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | REF_CLOSE: (160), (2379), (2558), (function-axioms) are
% 243.94/47.85 | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 243.94/47.85 | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | Case 2:
% 243.94/47.85 | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | (2559) all_56_15 = e1 & op(e0, e0) = e1
% 243.94/47.85 | | | | | | | | | | | | | |
% 243.94/47.85 | | | | | | | | | | | | | | ALPHA: (2559) implies:
% 243.94/47.85 | | | | | | | | | | | | | | (2560) all_56_15 = e1
% 243.94/47.85 | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (64),
% 243.94/47.86 | | | | | | | | | | | | | | (85), (91), (106), (113), (117), (118), (121),
% 243.94/47.86 | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 243.94/47.86 | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (145),
% 243.94/47.86 | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 243.94/47.86 | | | | | | | | | | | | | | (162), (163), (164), (167), (168), (169), (170),
% 243.94/47.86 | | | | | | | | | | | | | | (190), (191), (192), (194), (195), (196), (198),
% 243.94/47.86 | | | | | | | | | | | | | | (199), (200), (203), (206), (207), (208), (209),
% 243.94/47.86 | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (216), (217),
% 243.94/47.86 | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 243.94/47.86 | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (231), (232),
% 243.94/47.86 | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (241), (250),
% 243.94/47.86 | | | | | | | | | | | | | | (251), (252), (261), (262), (264), (271), (272),
% 243.94/47.86 | | | | | | | | | | | | | | (275), (306), (326), (336), (338), (351), (352),
% 243.94/47.86 | | | | | | | | | | | | | | (356), (358), (362), (363), (365), (366), (368),
% 243.94/47.86 | | | | | | | | | | | | | | (370), (376), (377), (382), (2323), (2326),
% 243.94/47.86 | | | | | | | | | | | | | | (2327), (2328), (2329), (2330), (2331), (2332),
% 243.94/47.86 | | | | | | | | | | | | | | (2336), (2337), (2339), (2376), (2377), (2378),
% 243.94/47.86 | | | | | | | | | | | | | | (2382), (2560), (function-axioms) are inconsistent
% 243.94/47.86 | | | | | | | | | | | | | | by sub-proof #2352.
% 243.94/47.86 | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | End of split
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | End of split
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | End of split
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | (2561) all_18_2 = e0
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | COMBINE_EQS: (328), (2561) imply:
% 243.94/47.86 | | | | | | | | | | | (2562) all_6_2 = e0
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | COMBINE_EQS: (320), (2562) imply:
% 243.94/47.86 | | | | | | | | | | | (2563) all_28_2 = e0
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | REDUCE: (363), (2562) imply:
% 243.94/47.86 | | | | | | | | | | | (2564) ~ (all_52_6 = e0)
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | REDUCE: (366), (2562) imply:
% 243.94/47.86 | | | | | | | | | | | (2565) ~ (all_52_9 = e0)
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | REDUCE: (370), (2562) imply:
% 243.94/47.86 | | | | | | | | | | | (2566) ~ (all_52_14 = e0)
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | REDUCE: (376), (2562) imply:
% 243.94/47.86 | | | | | | | | | | | (2567) ~ (e3 = e0)
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | BETA: splitting (225) gives:
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | (2568) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 243.94/47.86 | | | | | | | | | | | | & op(e2, e2) = e0)
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | BETA: splitting (2568) gives:
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | (2569) all_56_1 = e0 & op(e3, e2) = e0
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | REF_CLOSE: (170), (2330), (2569), (function-axioms) are
% 243.94/47.86 | | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | (2570) all_56_3 = e0 & op(e2, e2) = e0
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | REF_CLOSE: (42), (382), (2570), (function-axioms) are
% 243.94/47.86 | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | End of split
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | (2571) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 243.94/47.86 | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | BETA: splitting (2571) gives:
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | (2572) all_56_7 = e0 & op(e1, e2) = e0
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | REF_CLOSE: (162), (2564), (2572), (function-axioms) are
% 243.94/47.86 | | | | | | | | | | | | | inconsistent by sub-proof #2865.
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | (2573) all_56_13 = e0 & op(e0, e2) = e0
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | ALPHA: (2573) implies:
% 243.94/47.86 | | | | | | | | | | | | | (2574) all_56_13 = e0
% 243.94/47.86 | | | | | | | | | | | | | (2575) op(e0, e2) = e0
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (64), (73),
% 243.94/47.86 | | | | | | | | | | | | | (110), (112), (113), (117), (118), (120), (121),
% 243.94/47.86 | | | | | | | | | | | | | (123), (125), (128), (133), (134), (135), (136),
% 243.94/47.86 | | | | | | | | | | | | | (139), (140), (141), (143), (144), (145), (146),
% 243.94/47.86 | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 243.94/47.86 | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 243.94/47.86 | | | | | | | | | | | | | (189), (190), (192), (193), (195), (196), (198),
% 243.94/47.86 | | | | | | | | | | | | | (199), (200), (201), (202), (203), (206), (207),
% 243.94/47.86 | | | | | | | | | | | | | (208), (209), (210), (212), (213), (214), (215),
% 243.94/47.86 | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 243.94/47.86 | | | | | | | | | | | | | (225), (226), (227), (228), (231), (232), (233),
% 243.94/47.86 | | | | | | | | | | | | | (235), (238), (241), (242), (249), (250), (252),
% 243.94/47.86 | | | | | | | | | | | | | (253), (261), (262), (264), (271), (272), (273),
% 243.94/47.86 | | | | | | | | | | | | | (274), (275), (326), (351), (353), (356), (360),
% 243.94/47.86 | | | | | | | | | | | | | (362), (371), (372), (373), (374), (375), (377),
% 243.94/47.86 | | | | | | | | | | | | | (380), (382), (2328), (2331), (2336), (2337),
% 243.94/47.86 | | | | | | | | | | | | | (2563), (2564), (2565), (2566), (2574), (2575),
% 243.94/47.86 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 243.94/47.86 | | | | | | | | | | | | | #2496.
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | End of split
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | End of split
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | End of split
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | (2576) all_56_1 = e0 & op(e3, e2) = e0
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | REF_CLOSE: (170), (2330), (2576), (function-axioms) are
% 243.94/47.86 | | | | | | | | | | inconsistent by sub-proof #2674.
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | End of split
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | | (2577) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 &
% 243.94/47.86 | | | | | | | | | op(e3, e0) = e0)
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | | BETA: splitting (2577) gives:
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | (2578) all_56_4 = e0 & op(e3, e1) = e0
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | REF_CLOSE: (169), (2331), (2578), (function-axioms) are
% 243.94/47.86 | | | | | | | | | | inconsistent by sub-proof #2495.
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | (2579) all_56_9 = e0 & op(e3, e0) = e0
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | REF_CLOSE: (168), (2332), (2579), (function-axioms) are
% 243.94/47.86 | | | | | | | | | | inconsistent by sub-proof #3331.
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | End of split
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | End of split
% 243.94/47.86 | | | | | | | |
% 243.94/47.86 | | | | | | | End of split
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | Case 2:
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | (2580) all_14_2 = e0
% 243.94/47.86 | | | | | | | (2581) ( ~ (all_14_0 = e3) & op(e2, all_14_1) = all_14_0 &
% 243.94/47.86 | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) & $i(all_14_1)) |
% 243.94/47.86 | | | | | | | ( ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 243.94/47.86 | | | | | | | $i(all_14_1))
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | COMBINE_EQS: (333), (2580) imply:
% 243.94/47.86 | | | | | | | (2582) all_8_2 = e0
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | COMBINE_EQS: (295), (2582) imply:
% 243.94/47.86 | | | | | | | (2583) all_48_2 = e0
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | REDUCE: (351), (2582) imply:
% 243.94/47.86 | | | | | | | (2584) ~ (all_52_1 = e0)
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | REDUCE: (354), (2582) imply:
% 243.94/47.86 | | | | | | | (2585) ~ (all_52_4 = e0)
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | REDUCE: (356), (2582) imply:
% 243.94/47.86 | | | | | | | (2586) ~ (all_52_6 = e0)
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | REDUCE: (358), (2582) imply:
% 243.94/47.86 | | | | | | | (2587) ~ (all_52_7 = e0)
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | REDUCE: (360), (2582) imply:
% 243.94/47.86 | | | | | | | (2588) ~ (all_52_9 = e0)
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | REDUCE: (362), (2582) imply:
% 243.94/47.86 | | | | | | | (2589) ~ (all_52_13 = e0)
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | REDUCE: (377), (2582) imply:
% 243.94/47.86 | | | | | | | (2590) ~ (e3 = e0)
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | BETA: splitting (225) gives:
% 243.94/47.86 | | | | | | |
% 243.94/47.86 | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | |
% 243.94/47.86 | | | | | | | | (2591) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 &
% 243.94/47.86 | | | | | | | | op(e2, e2) = e0)
% 243.94/47.86 | | | | | | | |
% 243.94/47.86 | | | | | | | | BETA: splitting (2591) gives:
% 243.94/47.86 | | | | | | | |
% 243.94/47.86 | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | | (2592) all_56_1 = e0 & op(e3, e2) = e0
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | | REF_CLOSE: (170), (2585), (2592), (function-axioms) are
% 243.94/47.86 | | | | | | | | | inconsistent by sub-proof #2674.
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | | (2593) all_56_3 = e0 & op(e2, e2) = e0
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | | ALPHA: (2593) implies:
% 243.94/47.86 | | | | | | | | | (2594) all_56_3 = e0
% 243.94/47.86 | | | | | | | | | (2595) op(e2, e2) = e0
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | | BETA: splitting (55) gives:
% 243.94/47.86 | | | | | | | | |
% 243.94/47.86 | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | (2596) ~ (all_16_2 = e0)
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | REDUCE: (331), (2596) imply:
% 243.94/47.86 | | | | | | | | | | (2597) ~ (all_10_2 = e0)
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | BETA: splitting (58) gives:
% 243.94/47.86 | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | (2598) ~ (all_18_2 = e0)
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | REDUCE: (328), (2598) imply:
% 243.94/47.86 | | | | | | | | | | | (2599) ~ (all_6_2 = e0)
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | BETA: splitting (61) gives:
% 243.94/47.86 | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | (2600) ~ (all_20_2 = e1)
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | REDUCE: (322), (2600) imply:
% 243.94/47.86 | | | | | | | | | | | | (2601) ~ (all_4_2 = e1)
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | BETA: splitting (189) gives:
% 243.94/47.86 | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | (2602) all_54_15 = e3
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | REF_CLOSE: (249), (380), (2602) are inconsistent by sub-proof
% 243.94/47.86 | | | | | | | | | | | | | #3475.
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | (2603) ~ (all_54_15 = e3)
% 243.94/47.86 | | | | | | | | | | | | | (2604) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | BETA: splitting (2604) gives:
% 243.94/47.86 | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | (2605) all_54_15 = e2
% 243.94/47.86 | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (2605) are inconsistent by sub-proof
% 243.94/47.86 | | | | | | | | | | | | | | #3474.
% 243.94/47.86 | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | (2606) ~ (all_54_15 = e2)
% 243.94/47.86 | | | | | | | | | | | | | | (2607) all_54_15 = e1 | all_54_15 = e0
% 243.94/47.86 | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | BETA: splitting (2607) gives:
% 243.94/47.86 | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | (2608) all_54_15 = e1
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | REF_CLOSE: (249), (2601), (2608) are inconsistent by
% 243.94/47.86 | | | | | | | | | | | | | | | sub-proof #3473.
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | (2609) all_54_15 = e0
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2609) imply:
% 243.94/47.86 | | | | | | | | | | | | | | | (2610) all_4_2 = e0
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | SIMP: (2610) implies:
% 243.94/47.86 | | | | | | | | | | | | | | | (2611) all_4_2 = e0
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | REDUCE: (372), (2611) imply:
% 243.94/47.86 | | | | | | | | | | | | | | | (2612) ~ (all_52_12 = e0)
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | REDUCE: (374), (2611) imply:
% 243.94/47.86 | | | | | | | | | | | | | | | (2613) ~ (all_52_14 = e0)
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | REDUCE: (375), (2611) imply:
% 243.94/47.86 | | | | | | | | | | | | | | | (2614) ~ (e2 = e0)
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | REDUCE: (2601), (2611) imply:
% 243.94/47.86 | | | | | | | | | | | | | | | (2615) ~ (e1 = e0)
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | REDUCE: (36), (2611) imply:
% 243.94/47.86 | | | | | | | | | | | | | | | (2616) op(e0, e0) = e0
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 243.94/47.86 | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | (2617) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 243.94/47.86 | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 243.94/47.86 | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | BETA: splitting (2617) gives:
% 243.94/47.86 | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | (2618) all_56_0 = e0 & op(e3, e3) = e0
% 243.94/47.86 | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (2597), (2618), (function-axioms) are
% 243.94/47.86 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2781.
% 243.94/47.86 | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | (2619) all_56_1 = e0 & op(e3, e2) = e0
% 243.94/47.86 | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2585), (2619), (function-axioms) are
% 243.94/47.86 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 243.94/47.86 | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | End of split
% 243.94/47.86 | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | Case 2:
% 243.94/47.86 | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | (2620) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 243.94/47.86 | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 243.94/47.86 | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | BETA: splitting (2620) gives:
% 243.94/47.86 | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | (2621) all_56_4 = e0 & op(e3, e1) = e0
% 243.94/47.86 | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | ALPHA: (2621) implies:
% 243.94/47.86 | | | | | | | | | | | | | | | | | (2622) op(e3, e1) = e0
% 243.94/47.86 | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 243.94/47.86 | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | | (2623) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 243.94/47.86 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 243.94/47.86 | | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | | BETA: splitting (2623) gives:
% 243.94/47.86 | | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.86 | | | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | | | (2624) all_56_6 = e0 & op(e1, e3) = e0
% 243.94/47.86 | | | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | | | ALPHA: (2624) implies:
% 243.94/47.86 | | | | | | | | | | | | | | | | | | | (2625) op(e1, e3) = e0
% 243.94/47.86 | | | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 243.94/47.86 | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2625) gives:
% 243.94/47.86 | | | | | | | | | | | | | | | | | | | (2626) all_52_2 = e0
% 243.94/47.86 | | | | | | | | | | | | | | | | | | |
% 243.94/47.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 243.94/47.86 | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (2622) gives:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | (2627) all_52_8 = e0
% 243.94/47.87 | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2626) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | (2628) ~ (all_52_3 = e0)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | SIMP: (2628) implies:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | (2629) ~ (all_52_3 = e0)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2627) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | (2630) ~ (all_52_11 = e0)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | SIMP: (2630) implies:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | (2631) ~ (all_52_11 = e0)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | REDUCE: (348), (2627) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | (2632) ~ (all_10_2 = e0)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | REDUCE: (365), (2627) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | (2633) ~ (all_6_2 = e0)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | (2634) ~ (all_24_2 = e2)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (2634) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | (2635) ~ (all_10_2 = e2)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | (2636) all_54_0 = e3
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (2636) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | (2637) all_10_2 = e3
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (2637) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | (2638) ~ (all_52_4 = e3)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2637) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | (2639) op(e3, e3) = e3
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | (2640) ~ (all_36_2 = e2)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (2640) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | (2641) ~ (all_6_2 = e2)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | (2642) all_54_10 = e3
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (2642) are inconsistent by sub-proof
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | #3450.
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | (2643) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2643) gives:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | (2644) all_54_10 = e2
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (2641), (2644) are inconsistent by
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3449.
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_54_10 = e1 | all_54_10 = e0
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2645) gives:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2646) all_54_10 = e1
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2646) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2647) all_6_2 = e1
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2647) implies:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_6_2 = e1
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (2648) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2649) ~ (all_52_6 = e1)
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2648) imply:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2650) op(e1, e1) = e1
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 243.94/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2651) gives:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2625), (2639), (2652), (function-axioms) are
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (170), (2638), (2649), (2653),
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3410.
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (158), (159), (2587), (2595), (2616),
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2622), (2629), (2631), (2650), (2654),
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | | #2329.
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2655) all_54_10 = e0
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (2599), (2655) are inconsistent by
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | (2656) all_36_2 = e2
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (2656) imply:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | (2657) all_6_2 = e2
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (2657) imply:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | (2658) ~ (all_52_9 = e2)
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2657) imply:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | (2659) op(e1, e1) = e2
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.87 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (2660) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2660) gives:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | (2661) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2625), (2639), (2661), (function-axioms) are
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | (2662) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2638), (2659), (2662), (function-axioms)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2882.
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (2663) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (158), (159), (165), (2587), (2595),
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (2616), (2622), (2629), (2631), (2658), (2663),
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | #2328.
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | (2664) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (378), (2597), (2635), (2664) are
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | (2665) all_24_2 = e2
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (2665) imply:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | (2666) all_10_2 = e2
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | SIMP: (2666) implies:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | (2667) all_10_2 = e2
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (2667) imply:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | (2668) ~ (all_52_1 = e2)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2667) imply:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | (2669) op(e3, e3) = e2
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | (2670) ~ (all_36_2 = e2)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (2670) imply:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | (2671) ~ (all_6_2 = e2)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | (2672) all_54_10 = e3
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (2672) are inconsistent by sub-proof
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | #3450.
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | (2673) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2673) gives:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (2674) all_54_10 = e2
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (2671), (2674) are inconsistent by
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3449.
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | (2675) all_54_10 = e1 | all_54_10 = e0
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2675) gives:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_54_10 = e1
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2676) imply:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | (2677) all_6_2 = e1
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2677) implies:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | (2678) all_6_2 = e1
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (2678) imply:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | (2679) ~ (all_52_6 = e1)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2678) imply:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | (2680) op(e1, e1) = e1
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | (2681) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2681) gives:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (2625), (2668), (2682),
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | | #2327.
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2669), (2679), (2683), (function-axioms)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3404.
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2684) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2684) gives:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2680), (2685), (function-axioms) are inconsistent
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3443.
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (2587), (2595), (2616),
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2629), (2631), (2686), (function-axioms) are
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2330.
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | (2687) all_54_10 = e0
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (2599), (2687) are inconsistent by
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | (2688) all_36_2 = e2
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (2688) imply:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | (2689) all_6_2 = e2
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (2689) imply:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | (2690) ~ (all_52_9 = e2)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2689) imply:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | (2691) op(e1, e1) = e2
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | (2692) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2692) gives:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | (2693) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.89 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (2625), (2668), (2693),
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | #2327.
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | (2694) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2669), (2691), (2694), (function-axioms) are
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2326.
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (2695) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (158), (159), (165), (2587), (2595),
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (2616), (2622), (2629), (2631), (2690), (2695),
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | | #2328.
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | (2696) all_56_7 = e0 & op(e1, e2) = e0
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | ALPHA: (2696) implies:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | (2697) all_56_7 = e0
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | (2594), (2697) are inconsistent by sub-proof
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | #3252.
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.90 | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | (2698) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 244.15/47.90 | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (2599), (2613), (2698),
% 244.15/47.90 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.90 | | | | | | | | | | | | | | | | | | #3081.
% 244.15/47.90 | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.90 | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | (2699) all_56_9 = e0 & op(e3, e0) = e0
% 244.15/47.90 | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2612), (2699), (function-axioms) are
% 244.15/47.90 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 244.15/47.90 | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | End of split
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | Case 2:
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | (2700) all_20_2 = e1
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | COMBINE_EQS: (322), (2700) imply:
% 244.15/47.90 | | | | | | | | | | | | (2701) all_4_2 = e1
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | REDUCE: (353), (2701) imply:
% 244.15/47.90 | | | | | | | | | | | | (2702) ~ (all_52_3 = e1)
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | REDUCE: (364), (2701) imply:
% 244.15/47.90 | | | | | | | | | | | | (2703) ~ (all_52_7 = e1)
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | REDUCE: (371), (2701) imply:
% 244.15/47.90 | | | | | | | | | | | | (2704) ~ (all_52_11 = e1)
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | REDUCE: (372), (2701) imply:
% 244.15/47.90 | | | | | | | | | | | | (2705) ~ (all_52_12 = e1)
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | REDUCE: (373), (2701) imply:
% 244.15/47.90 | | | | | | | | | | | | (2706) ~ (all_52_13 = e1)
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | REDUCE: (374), (2701) imply:
% 244.15/47.90 | | | | | | | | | | | | (2707) ~ (all_52_14 = e1)
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | REDUCE: (380), (2701) imply:
% 244.15/47.90 | | | | | | | | | | | | (2708) ~ (e3 = e1)
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | BETA: splitting (207) gives:
% 244.15/47.90 | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | Case 1:
% 244.15/47.90 | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | (2709) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 244.15/47.90 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 244.15/47.90 | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2702), (2703), (2709),
% 244.15/47.90 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.90 | | | | | | | | | | | | | #3076.
% 244.15/47.90 | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | Case 2:
% 244.15/47.90 | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | (2710) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 244.15/47.90 | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 244.15/47.90 | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | BETA: splitting (2710) gives:
% 244.15/47.90 | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | Case 1:
% 244.15/47.90 | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | (2711) all_56_14 = e1 & op(e0, e1) = e1
% 244.15/47.90 | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | REF_CLOSE: (157), (2704), (2711), (function-axioms) are
% 244.15/47.90 | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 244.15/47.90 | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | Case 2:
% 244.15/47.90 | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | (2712) all_56_15 = e1 & op(e0, e0) = e1
% 244.15/47.90 | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | ALPHA: (2712) implies:
% 244.15/47.90 | | | | | | | | | | | | | | (2713) all_56_15 = e1
% 244.15/47.90 | | | | | | | | | | | | | | (2714) op(e0, e0) = e1
% 244.15/47.90 | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 244.15/47.90 | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | Case 1:
% 244.15/47.90 | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | (2715) ~ (all_24_2 = e2)
% 244.15/47.90 | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | REDUCE: (323), (2715) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | (2716) ~ (all_10_2 = e2)
% 244.15/47.90 | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 244.15/47.90 | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | Case 1:
% 244.15/47.90 | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | (2717) all_54_0 = e3
% 244.15/47.90 | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (2717) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | | (2718) all_10_2 = e3
% 244.15/47.90 | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | SIMP: (2718) implies:
% 244.15/47.90 | | | | | | | | | | | | | | | | (2719) all_10_2 = e3
% 244.15/47.90 | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | REDUCE: (346), (2719) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | | (2720) ~ (all_52_4 = e3)
% 244.15/47.90 | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | REDUCE: (348), (2719) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | | (2721) ~ (all_52_8 = e3)
% 244.15/47.90 | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | REDUCE: (350), (2719) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | | (2722) ~ (all_52_12 = e3)
% 244.15/47.90 | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | REDUCE: (45), (2719) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | | (2723) op(e3, e3) = e3
% 244.15/47.90 | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 244.15/47.90 | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.90 | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | (2724) ~ (all_36_2 = e2)
% 244.15/47.90 | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | REDUCE: (306), (2724) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | | | (2725) ~ (all_6_2 = e2)
% 244.15/47.90 | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 244.15/47.90 | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.90 | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | (2726) all_54_10 = e3
% 244.15/47.90 | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (2726) are inconsistent by sub-proof
% 244.15/47.90 | | | | | | | | | | | | | | | | | | #3450.
% 244.15/47.90 | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.90 | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | (2727) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 244.15/47.90 | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | BETA: splitting (2727) gives:
% 244.15/47.90 | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | (2728) all_54_10 = e2
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (2725), (2728) are inconsistent by
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | sub-proof #3449.
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | (2729) all_54_10 = e1 | all_54_10 = e0
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (2729) gives:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | (2730) all_54_10 = e1
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2730) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | (2731) all_6_2 = e1
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | SIMP: (2731) implies:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | (2732) all_6_2 = e1
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (2732) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | (2733) ~ (all_52_2 = e1)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (2732) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | (2734) ~ (all_52_6 = e1)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2732) imply:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | (2735) op(e1, e1) = e1
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | (2736) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2736) gives:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.90 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (2737) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2723), (2733), (2737), (function-axioms)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2325.
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (2738) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (170), (2720), (2734), (2738),
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | #3410.
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (2739) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2739) gives:
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (2740) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2721), (2735), (2740), (function-axioms)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2324.
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (2741) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (168), (2587), (2595), (2707),
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | (2714), (2722), (2723), (2741), (function-axioms)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2321.
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | (2742) all_54_10 = e0
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (2599), (2742) are inconsistent by
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.91 | | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.91 | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | End of split
% 244.15/47.91 | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.91 | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | (2743) all_36_2 = e2
% 244.15/47.91 | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (2743) imply:
% 244.15/47.91 | | | | | | | | | | | | | | | | | (2744) all_6_2 = e2
% 244.15/47.91 | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | REDUCE: (366), (2744) imply:
% 244.15/47.91 | | | | | | | | | | | | | | | | | (2745) ~ (all_52_9 = e2)
% 244.15/47.91 | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | REDUCE: (39), (2744) imply:
% 244.15/47.91 | | | | | | | | | | | | | | | | | (2746) op(e1, e1) = e2
% 244.15/47.91 | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 244.15/47.91 | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.91 | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | (2747) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.91 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.91 | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 244.15/47.91 | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.15/47.91 | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 244.15/47.91 | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 244.15/47.91 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 244.15/47.91 | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 244.15/47.91 | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.91 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 244.15/47.91 | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 244.15/47.91 | | | | | | | | | | | | | | | | | |
% 244.15/47.91 | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.91 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (2748) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2723), (2748), (function-axioms) are inconsistent
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | by sub-proof #3470.
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (2749) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2720), (2746), (2749), (function-axioms)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2882.
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.92 | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.92 | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (2750) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.15/47.92 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 244.15/47.92 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 244.15/47.92 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.15/47.92 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.15/47.92 | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.15/47.92 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.15/47.92 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.15/47.92 | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.15/47.92 | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | BETA: splitting (2750) gives:
% 244.15/47.92 | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (2751) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (2721), (2745), (2751),
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | #3464.
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (2752) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (168), (2587), (2595), (2707),
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | (2714), (2722), (2723), (2752), (function-axioms)
% 244.15/47.92 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2321.
% 244.15/47.92 | | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.92 | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | End of split
% 244.15/47.92 | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | End of split
% 244.15/47.92 | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | Case 2:
% 244.15/47.92 | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | (2753) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 244.15/47.92 | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | REF_CLOSE: (282), (378), (2597), (2716), (2753) are
% 244.15/47.92 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 244.15/47.92 | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | End of split
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | Case 2:
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | (2754) all_24_2 = e2
% 244.15/47.92 | | | | | | | | | | | | | | | (2755) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 244.15/47.92 | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 244.15/47.92 | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 244.15/47.92 | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | COMBINE_EQS: (323), (2754) imply:
% 244.15/47.92 | | | | | | | | | | | | | | | (2756) all_10_2 = e2
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | SIMP: (2756) implies:
% 244.15/47.92 | | | | | | | | | | | | | | | (2757) all_10_2 = e2
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | COMBINE_EQS: (316), (2757) imply:
% 244.15/47.92 | | | | | | | | | | | | | | | (2758) all_32_2 = e2
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | REDUCE: (340), (2757) imply:
% 244.15/47.92 | | | | | | | | | | | | | | | (2759) ~ (all_52_1 = e2)
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | REDUCE: (348), (2757) imply:
% 244.15/47.92 | | | | | | | | | | | | | | | (2760) ~ (all_52_8 = e2)
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | REDUCE: (350), (2757) imply:
% 244.15/47.92 | | | | | | | | | | | | | | | (2761) ~ (all_52_12 = e2)
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | REDUCE: (45), (2757) imply:
% 244.15/47.92 | | | | | | | | | | | | | | | (2762) op(e3, e3) = e2
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 244.15/47.92 | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | Case 1:
% 244.15/47.92 | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | (2763) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 244.15/47.92 | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 244.15/47.92 | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | BETA: splitting (2763) gives:
% 244.15/47.92 | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.92 | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | (2764) all_56_0 = e2 & op(e3, e3) = e2
% 244.15/47.92 | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | ALPHA: (2764) implies:
% 244.15/47.92 | | | | | | | | | | | | | | | | | (2765) all_56_0 = e2
% 244.15/47.92 | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 244.15/47.92 | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.92 | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (2766) ~ (all_32_2 = e2)
% 244.15/47.92 | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | REDUCE: (2758), (2766) imply:
% 244.15/47.92 | | | | | | | | | | | | | | | | | | (2767) $false
% 244.15/47.92 | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | | CLOSE: (2767) is inconsistent.
% 244.15/47.92 | | | | | | | | | | | | | | | | | |
% 244.15/47.92 | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.92 | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | (2768) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 244.15/47.93 | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 244.15/47.93 | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | (2769) ~ (all_36_2 = e2)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | REDUCE: (306), (2769) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | (2770) ~ (all_6_2 = e2)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | (2771) all_54_10 = e3
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (2771) are inconsistent by sub-proof
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | #3450.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | (2772) ~ (all_54_10 = e3)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | (2773) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2773) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | (2774) all_54_10 = e2
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (2770), (2774) are inconsistent by
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | sub-proof #3449.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | (2775) ~ (all_54_10 = e2)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | (2776) all_54_10 = e1 | all_54_10 = e0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2776) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | (2777) all_54_10 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2777) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | (2778) all_6_2 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2778) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | (2779) all_6_2 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (2779) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | (2780) ~ (all_52_2 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (2779) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | (2781) ~ (all_52_6 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2770), (2779) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | (2782) ~ (e2 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2779) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | (2783) op(e1, e1) = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | (2784) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2784) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_56_0 = e1 & op(e3, e3) = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2785) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | (2786) op(e3, e3) = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2762), (2786), (function-axioms) are
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_56_2 = e1 & op(e2, e3) = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2787) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | (2788) all_56_2 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | (2789) op(e2, e3) = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2790) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2790) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_56_1 = e1 & op(e3, e2) = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2791) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) op(e3, e2) = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (2789) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_52_1 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (2792) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_52_4 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2793) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) ~ (all_52_2 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2793) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) ~ (all_52_9 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2796) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) ~ (all_52_9 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2794) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) ~ (all_52_6 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2794) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) ~ (all_52_8 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2799) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) ~ (all_52_8 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2755) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0 &
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2801) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) ~ (all_24_0 = e0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) op(e3, e2) = all_24_1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) op(e3, all_24_1) = all_24_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2768) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0 &
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2805) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) ~ (all_32_0 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) op(e3, e2) = all_32_1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) op(e3, all_32_1) = all_32_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (2792), (2807) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) all_32_1 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e3, simplifying with (2803), (2807)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_32_1 = all_24_1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2809), (2810) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_24_1 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2808), (2809) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) op(e3, e1) = all_32_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2804), (2811) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) op(e3, e1) = all_24_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e1, e3, simplifying with (169), (2813)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_52_8 = all_24_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0, e1, e3, simplifying with (169), (2812)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) all_52_8 = all_32_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2814), (2815) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_32_0 = all_24_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2816) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_32_0 = all_24_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (2814) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_54_2 = all_24_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2814) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) ~ (all_52_9 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2819) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) ~ (all_52_9 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2814) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) ~ (all_52_11 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2821) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) ~ (all_52_11 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2814) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) ~ (all_52_12 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2823) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) ~ (all_52_12 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2760), (2814) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) ~ (all_24_0 = e2)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2806), (2817) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) ~ (all_24_0 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (139), (158), (159), (160), (162), (163),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (190), (198), (202), (241), (250),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (2587), (2588), (2595), (2704), (2707),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714), (2759), (2762), (2780), (2781), (2783),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797), (2802), (2818), (2820), (2822), (2824),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825), (2826), (function-axioms) are inconsistent
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2318.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2827) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) op(e3, e2) = all_32_1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (2792), (2828) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) all_32_1 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e3, simplifying with (2803), (2828)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_32_1 = all_24_1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2829), (2830) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_24_1 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2804), (2831) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) op(e3, e1) = all_24_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e1, e3, simplifying with (169), (2832)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_52_8 = all_24_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (2833) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_54_2 = all_24_0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2833) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) ~ (all_52_9 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2835) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) ~ (all_52_9 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2833) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) ~ (all_52_11 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2837) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) ~ (all_52_11 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2833) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) ~ (all_52_12 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2839) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) ~ (all_52_12 = all_24_0)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2760), (2833) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) ~ (all_24_0 = e2)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2800), (2833) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) ~ (all_24_0 = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (139), (158), (159), (160), (162), (163),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (190), (198), (202), (241), (250),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (2587), (2588), (2595), (2704), (2707),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714), (2759), (2762), (2780), (2781), (2783),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797), (2802), (2834), (2836), (2838), (2840),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841), (2842), (function-axioms) are inconsistent
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2318.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2768), (2792), (2843), (function-axioms) are
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3062.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) all_56_3 = e1 & op(e2, e2) = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2844) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) all_56_3 = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) op(e2, e2) = e1
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (2788), (2789), (2845), (2846),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | | #3361.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2847) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (2703), (2781), (2847),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | | #3080.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | (2848) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (2702), (2780), (2848),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | | #3022.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | (2849) all_54_10 = e0
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (2599), (2849) are inconsistent by
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | (2850) all_36_2 = e2
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (2850) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | (2851) all_6_2 = e2
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (2851) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | (2852) all_40_2 = e2
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | REDUCE: (352), (2851) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | (2853) ~ (all_52_2 = e2)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | REDUCE: (366), (2851) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | (2854) ~ (all_52_9 = e2)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | REDUCE: (376), (2851) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | (2855) ~ (e3 = e2)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2851) imply:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | (2856) op(e1, e1) = e2
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | (2857) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2857) gives:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | (2858) all_56_1 = e2 & op(e3, e2) = e2
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2858) implies:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | (2859) all_56_1 = e2
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (230),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | (232), (236), (2585), (2705), (2762), (2859),
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | #2313.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | (2860) all_56_3 = e2 & op(e2, e2) = e2
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2594), (2860) are inconsistent by sub-proof
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | | #3396.
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.93 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | (2861) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2861) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | (2862) all_56_7 = e2 & op(e1, e2) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2862) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | (2863) all_56_7 = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | (216), (376), (2856), (2863), (function-axioms)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3082.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | (2864) all_56_13 = e2 & op(e0, e2) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2864) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | (2865) all_56_13 = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | (2866) op(e0, e2) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | (2867) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2867) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (2868) all_56_9 = e2 & op(e3, e0) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2761), (2868), (function-axioms) are
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (2869) all_56_10 = e2 & op(e2, e0) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (91), (103), (110), (117),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (118), (123), (125), (126), (128), (135), (136),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (143), (144), (145), (146),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (190), (192), (193), (195), (196), (198), (200),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (203), (207), (208), (209), (212), (213), (214),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (222), (223), (224), (226), (227),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (235), (238),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (250), (252), (253), (261), (262),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (264), (272), (275), (2581), (2583), (2584),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (2586), (2588), (2589), (2594), (2595), (2702),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (2704), (2705), (2706), (2707), (2713), (2714),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (2755), (2762), (2765), (2768), (2852), (2853),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (2856), (2865), (2866), (2869), (function-axioms)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2278.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | (2870) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2870) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (2871) all_56_11 = e2 & op(e1, e0) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2871) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (2872) all_56_11 = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | (2873) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2873) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_56_6 = e0 & op(e1, e3) = e0
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2874) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2875) all_56_6 = e0
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2876) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_56_0 = e1 & op(e3, e3) = e1
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2877) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) op(e3, e3) = e1
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2762), (2878), (function-axioms) are
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) all_56_2 = e1 & op(e2, e3) = e1
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2879) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) all_56_2 = e1
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2881) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_56_0 = e3 & op(e3, e3) = e3
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2882) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) op(e3, e3) = e3
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2762), (2883), (function-axioms) are
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3330.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_56_2 = e3 & op(e2, e3) = e3
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2884) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_56_2 = e3
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2880), (2885) are inconsistent by sub-proof
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3399.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2886) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_56_6 = e3 & op(e1, e3) = e3
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2887) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_56_6 = e3
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2875), (2888) are inconsistent by sub-proof
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3162.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) all_56_12 = e3 & op(e0, e3) = e3
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2889) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_56_12 = e3
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2891) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_56_2 = e2 & op(e2, e3) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2892) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_56_2 = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (2762), (2875), (2890),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893), (function-axioms) are inconsistent by
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3285.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) all_56_3 = e2 & op(e2, e2) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2594), (2894) are inconsistent by sub-proof
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3396.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2895) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) all_56_5 = e2 & op(e2, e1) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2896) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) op(e2, e1) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2854), (2897), (function-axioms) are
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3465.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_56_10 = e2 & op(e2, e0) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (91), (103), (110), (117),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (123), (125), (126), (128), (135), (136),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (143), (144), (145), (146),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (192), (193), (195), (196), (198), (200),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (207), (208), (209), (212), (213), (214),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (222), (223), (224), (226), (227),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (235), (238),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (250), (252), (253), (261), (262),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (272), (275), (2581), (2583), (2584),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586), (2588), (2589), (2594), (2595), (2702),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704), (2705), (2706), (2707), (2713), (2714),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755), (2762), (2765), (2768), (2852), (2853),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856), (2865), (2866), (2898), (function-axioms)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2278.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2899) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_56_6 = e1 & op(e1, e3) = e1
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2900) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_56_6 = e1
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (376), (2856), (2872), (2901),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3110.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) all_56_12 = e1 & op(e0, e3) = e1
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2702), (2902), (function-axioms) are
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3077.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_56_7 = e0 & op(e1, e2) = e0
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2903) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2904) all_56_7 = e0
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2594), (2865), (2904) are inconsistent by
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3256.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | (2905) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2856), (2872), (2905), (function-axioms) are
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (2906) all_56_15 = e2 & op(e0, e0) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2906) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | (2907) all_56_15 = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2713), (2907) are inconsistent by sub-proof
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | | #3014.
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | (2908) all_56_1 = e2 & op(e3, e2) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | ALPHA: (2908) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | (2909) all_56_1 = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (230),
% 244.15/47.94 | | | | | | | | | | | | | | | | | (232), (236), (2585), (2705), (2762), (2909),
% 244.15/47.94 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.94 | | | | | | | | | | | | | | | | | #2313.
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | (2910) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 244.15/47.94 | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | BETA: splitting (2910) gives:
% 244.15/47.94 | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | (2911) all_56_4 = e2 & op(e3, e1) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | ALPHA: (2911) implies:
% 244.15/47.94 | | | | | | | | | | | | | | | | | (2912) all_56_4 = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 244.15/47.94 | | | | | | | | | | | | | | | | | (236), (2705), (2762), (2912), (function-axioms)
% 244.15/47.94 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2273.
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | (2913) all_56_9 = e2 & op(e3, e0) = e2
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2761), (2913), (function-axioms) are
% 244.15/47.94 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 244.15/47.94 | | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | End of split
% 244.15/47.94 | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | Case 2:
% 244.15/47.94 | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | (2914) all_18_2 = e0
% 244.15/47.94 | | | | | | | | | | | (2915) ( ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0
% 244.15/47.94 | | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 244.15/47.94 | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 244.15/47.94 | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 244.15/47.94 | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | COMBINE_EQS: (328), (2914) imply:
% 244.15/47.94 | | | | | | | | | | | (2916) all_6_2 = e0
% 244.15/47.94 | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | COMBINE_EQS: (320), (2916) imply:
% 244.15/47.94 | | | | | | | | | | | (2917) all_28_2 = e0
% 244.15/47.94 | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | REDUCE: (352), (2916) imply:
% 244.15/47.94 | | | | | | | | | | | (2918) ~ (all_52_2 = e0)
% 244.15/47.94 | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | REDUCE: (365), (2916) imply:
% 244.15/47.94 | | | | | | | | | | | (2919) ~ (all_52_8 = e0)
% 244.15/47.94 | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | REDUCE: (370), (2916) imply:
% 244.15/47.94 | | | | | | | | | | | (2920) ~ (all_52_14 = e0)
% 244.15/47.94 | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | BETA: splitting (230) gives:
% 244.15/47.94 | | | | | | | | | | |
% 244.15/47.94 | | | | | | | | | | | Case 1:
% 244.15/47.94 | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | (2921) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 244.15/47.95 | | | | | | | | | | | | & op(e3, e2) = e0)
% 244.15/47.95 | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | BETA: splitting (2921) gives:
% 244.15/47.95 | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | (2922) all_56_0 = e0 & op(e3, e3) = e0
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | REF_CLOSE: (45), (2597), (2922), (function-axioms) are
% 244.15/47.95 | | | | | | | | | | | | | inconsistent by sub-proof #2781.
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | (2923) all_56_1 = e0 & op(e3, e2) = e0
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | REF_CLOSE: (170), (2585), (2923), (function-axioms) are
% 244.15/47.95 | | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | End of split
% 244.15/47.95 | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | (2924) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 244.15/47.95 | | | | | | | | | | | | & op(e3, e0) = e0)
% 244.15/47.95 | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | BETA: splitting (2924) gives:
% 244.15/47.95 | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | (2925) all_56_4 = e0 & op(e3, e1) = e0
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | REF_CLOSE: (169), (2919), (2925), (function-axioms) are
% 244.15/47.95 | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | (2926) all_56_9 = e0 & op(e3, e0) = e0
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | ALPHA: (2926) implies:
% 244.15/47.95 | | | | | | | | | | | | | (2927) all_56_9 = e0
% 244.15/47.95 | | | | | | | | | | | | | (2928) op(e3, e0) = e0
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | BETA: splitting (213) gives:
% 244.15/47.95 | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | (2929) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 244.15/47.95 | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 244.15/47.95 | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (226), (227),
% 244.15/47.95 | | | | | | | | | | | | | | (228), (2594), (2918), (2929), (function-axioms)
% 244.15/47.95 | | | | | | | | | | | | | | are inconsistent by sub-proof #2272.
% 244.15/47.95 | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | (2930) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 244.15/47.95 | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 244.15/47.95 | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | BETA: splitting (2930) gives:
% 244.15/47.95 | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | (2931) all_56_8 = e0 & op(e1, e1) = e0
% 244.15/47.95 | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | ALPHA: (2931) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | (2932) all_56_8 = e0
% 244.15/47.95 | | | | | | | | | | | | | | | (2933) op(e1, e1) = e0
% 244.15/47.95 | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 244.15/47.95 | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | (2934) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | BETA: splitting (2934) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2935) all_56_0 = e0 & op(e3, e3) = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (2597), (2935), (function-axioms) are
% 244.15/47.95 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2781.
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2936) all_56_2 = e0 & op(e2, e3) = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | ALPHA: (2936) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2937) op(e2, e3) = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 244.15/47.95 | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (2937) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2938) all_52_1 = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | REDUCE: (2584), (2938) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2939) $false
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | CLOSE: (2939) is inconsistent.
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | End of split
% 244.15/47.95 | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | (2940) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 244.15/47.95 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | BETA: splitting (2940) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2941) all_56_6 = e0 & op(e1, e3) = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | ALPHA: (2941) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2942) op(e1, e3) = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2918), (2942), (function-axioms) are
% 244.15/47.95 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3353.
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2943) all_56_12 = e0 & op(e0, e3) = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | ALPHA: (2943) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2944) all_56_12 = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2945) op(e0, e3) = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 244.15/47.95 | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (2945) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2946) all_52_3 = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 244.15/47.95 | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (2928) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2947) all_52_12 = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | REDUCE: (140), (2946) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2948) ~ (all_52_7 = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | REDUCE: (139), (2946) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2949) ~ (all_52_11 = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | SIMP: (2949) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2950) ~ (all_52_11 = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | REDUCE: (113), (2947) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2951) ~ (all_52_13 = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | REDUCE: (112), (2947) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2952) ~ (all_52_14 = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | REDUCE: (350), (2947) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2953) ~ (all_10_2 = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | REDUCE: (372), (2947) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2954) ~ (all_4_2 = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | SIMP: (2954) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | (2955) ~ (all_4_2 = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | (2956) all_54_15 = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (380), (2956) are inconsistent by sub-proof
% 244.15/47.95 | | | | | | | | | | | | | | | | | | #3475.
% 244.15/47.95 | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | (2957) ~ (all_54_15 = e3)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | (2958) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | BETA: splitting (2958) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | (2959) all_54_15 = e2
% 244.15/47.95 | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (2959) are inconsistent by sub-proof
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | #3474.
% 244.15/47.95 | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | (2960) ~ (all_54_15 = e2)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | (2961) all_54_15 = e1 | all_54_15 = e0
% 244.15/47.95 | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | BETA: splitting (2961) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2962) all_54_15 = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2962) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2963) all_4_2 = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | SIMP: (2963) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2964) all_4_2 = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (2964) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2965) all_20_2 = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (2964) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2966) all_34_2 = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (2964) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2967) ~ (all_52_7 = e1)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (2964) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2968) ~ (all_52_11 = e1)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (2964) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2969) ~ (all_52_13 = e1)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (2964) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2970) ~ (all_52_14 = e1)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (2964) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2971) ~ (e3 = e1)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2964) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | (2972) ~ (e2 = e1)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | (2973) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2973) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | (2974) all_56_9 = e1 & op(e3, e0) = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2927), (2974) are inconsistent by sub-proof
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | #2633.
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | (2975) all_56_10 = e1 & op(e2, e0) = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2975) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | (2976) all_56_10 = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (207),
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | (211), (212), (222), (223), (224), (2594), (2927),
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | (2944), (2967), (2968), (2976), (function-axioms)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2265.
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | (2977) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2977) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | (2978) all_56_11 = e1 & op(e1, e0) = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2978) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | (2979) op(e1, e0) = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2970), (2979), (function-axioms) are
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | (2980) all_56_15 = e1 & op(e0, e0) = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2980) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | (2981) all_56_15 = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | (2982) op(e0, e0) = e1
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | (2983) ~ (all_20_2 = e1)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2965), (2983) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | (2984) $false
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2984) is inconsistent.
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | (2985) ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | (2986) ~ (all_24_2 = e2)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (2986) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | (2987) ~ (all_10_2 = e2)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2988) all_54_0 = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (2988) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_10_2 = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2989) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_10_2 = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (2990) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2991) ~ (all_52_1 = e3)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (2990) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2992) ~ (all_52_2 = e3)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (2990) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2993) ~ (all_52_4 = e3)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (2990) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2994) ~ (all_52_8 = e3)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2995) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_56_0 = e3 & op(e3, e3) = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2996) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_56_0 = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) op(e3, e3) = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) ~ (all_28_2 = e0)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2917), (2999) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) $false
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3000) is inconsistent.
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) ( ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) all_54_7 = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3002) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) all_52_13 = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3003) imply:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) ~ (all_52_14 = e3)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3004) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) ~ (all_52_14 = e3)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3006) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_56_9 = e3 & op(e3, e0) = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2927), (3007) are inconsistent by sub-proof
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2489.
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_56_10 = e3 & op(e2, e0) = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3008) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) all_56_10 = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3010) gives:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_56_4 = e3 & op(e3, e1) = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3011) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) op(e3, e1) = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2994), (3012), (function-axioms) are
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3466.
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) all_56_5 = e3 & op(e2, e1) = e3
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3013) implies:
% 244.15/47.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) all_56_5 = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) op(e2, e1) = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3016) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) all_56_4 = e1 & op(e3, e1) = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3017) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_56_4 = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3019) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) all_56_6 = e3 & op(e1, e3) = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3020) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) all_56_6 = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (231), (233),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594), (2944), (2997), (3014), (3021),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2903.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) all_56_7 = e3 & op(e1, e2) = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3022) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) op(e1, e2) = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3024) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_56_0 = e2 & op(e3, e3) = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3025) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) op(e3, e3) = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2998), (3026), (function-axioms) are
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3330.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_56_1 = e2 & op(e3, e2) = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3027) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) all_56_1 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3029) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) all_56_1 = e1 & op(e3, e2) = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3028), (3030) are inconsistent by sub-proof
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2994.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) all_56_3 = e1 & op(e2, e2) = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (2594),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932), (3014), (3015), (3018), (3031),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2264.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (158), (2967), (3023), (3032),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2263.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3033) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) all_56_4 = e2 & op(e3, e1) = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3018), (3034) are inconsistent by sub-proof
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2505.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) all_56_9 = e2 & op(e3, e0) = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2927), (3035) are inconsistent by sub-proof
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3196.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (376), (3005), (3036),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2401.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) all_56_5 = e1 & op(e2, e1) = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3037) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) all_56_5 = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3014), (3038) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) e3 = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3039) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) e3 = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3009), (3040) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) all_56_10 = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (207),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (222), (223), (224), (2594), (2927),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944), (2967), (2968), (3041), (function-axioms)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2265.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3042) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) all_56_8 = e1 & op(e1, e1) = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2932), (3043) are inconsistent by sub-proof
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) all_56_14 = e1 & op(e0, e1) = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2968), (3044), (function-axioms) are
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3045) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) all_56_8 = e3 & op(e1, e1) = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (3046), (function-axioms) are
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) all_56_14 = e3 & op(e0, e1) = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3047) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) all_56_14 = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3049) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) all_56_12 = e2 & op(e0, e3) = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2944), (3050) are inconsistent by sub-proof
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2569.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) all_56_13 = e2 & op(e0, e2) = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3051) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) all_56_13 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) op(e0, e2) = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3054) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) all_56_6 = e3 & op(e1, e3) = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3055) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_56_6 = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (214), (215),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (228), (2594), (2932),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933), (2993), (3009), (3052), (3056),
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2261.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) all_56_7 = e3 & op(e1, e2) = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3057) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) op(e1, e2) = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) all_54_11 = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (3005), (3059) are inconsistent by
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2814.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3060) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) all_54_11 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (3061) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) all_52_14 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3062) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) all_52_14 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3063) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) ~ (all_52_2 = e2)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3063) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) ~ (all_52_6 = e2)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) all_54_8 = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (3066) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) all_52_2 = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2992), (3067) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) $false
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3068) is inconsistent.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) ~ (all_54_8 = e3)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3070) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) all_54_8 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (3064), (3071) are inconsistent by
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2699.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) all_54_8 = e1 | all_54_8 = e0
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3072) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) all_54_8 = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (3073) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) all_52_2 = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3074) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) all_52_2 = e1
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3075) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) ~ (all_52_1 = e1)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3075) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) ~ (all_52_6 = e1)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3077) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) ~ (all_52_6 = e1)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) all_54_4 = e3
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (2991), (3079) are inconsistent by
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3359.
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3080) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_54_4 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3081) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_52_1 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3082) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_52_1 = e2
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3083) imply:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) ~ (all_52_9 = e2)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3084) implies:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) ~ (all_52_9 = e2)
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.15/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3086) gives:
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2998), (3087), (function-axioms) are inconsistent
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3470.
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (136), (170), (195), (261), (2586), (3058),
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065), (3078), (3088), (function-axioms) are
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3089) gives:
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (2994), (3085), (3090),
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3464.
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3091) gives:
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3092) implies:
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) ~ (all_57_15 = e2)
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) op(e0, e2) = all_57_15
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3053), (3093), (3094), (function-axioms) are
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2913.
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (2587), (2595), (2970), (2982),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998), (3095), (function-axioms) are inconsistent
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2322.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_54_4 = e1 | all_54_4 = e0
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (2584), (3076), (3096) are inconsistent by
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2876.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) all_54_8 = e0
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (2918), (3097) are inconsistent by
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2555.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) all_54_11 = e1 | all_54_11 = e0
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (2920), (2970), (3098) are inconsistent by
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2689.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (376), (3005), (3099),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2401.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (2981), (3048), (3100) are inconsistent
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2259.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (2981), (3005), (3101),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2258.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) ~ (all_54_7 = e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3102) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) ~ (all_52_13 = e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3103) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_54_7 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3105) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) all_52_13 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3106) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) ~ (all_52_1 = e2)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3108) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_56_9 = e3 & op(e3, e0) = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2927), (3109) are inconsistent by sub-proof
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2489.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_56_10 = e3 & op(e2, e0) = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3104), (3110), (function-axioms) are
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3111) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) all_56_11 = e3 & op(e1, e0) = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3112) implies:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) op(e1, e0) = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) all_54_11 = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (3114) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) all_52_14 = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3115) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) ~ (all_52_6 = e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) all_54_4 = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (2991), (3117) are inconsistent by
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3359.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3118) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) all_54_4 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (3107), (3119) are inconsistent by
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3355.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) all_54_4 = e1 | all_54_4 = e0
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3120) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) all_54_4 = e1
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3121) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) all_52_1 = e1
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3122) implies:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) all_52_1 = e1
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3123) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) ~ (all_52_2 = e1)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3124) implies:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) ~ (all_52_2 = e1)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (143), (163), (195), (196), (203), (261),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262), (275), (2585), (2586), (2915), (2918),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992), (2993), (3001), (3113), (3116), (3125),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2252.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_54_4 = e0
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (2584), (3126) are inconsistent by
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2877.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) ~ (all_54_11 = e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (253), (3127) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) ~ (all_52_14 = e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3113), (3128), (function-axioms) are
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3141.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) all_56_15 = e3 & op(e0, e0) = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2981), (3129) are inconsistent by sub-proof
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2736.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) all_54_7 = e1 | all_54_7 = e0
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (2589), (2969), (3130) are inconsistent by
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2795.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) all_56_1 = e3 & op(e3, e2) = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3131) implies:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) op(e3, e2) = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2993), (3132), (function-axioms) are
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3469.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3133) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) all_56_4 = e3 & op(e3, e1) = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3134) implies:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) op(e3, e1) = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2994), (3135), (function-axioms) are
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3466.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_56_9 = e3 & op(e3, e0) = e3
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2927), (3136) are inconsistent by sub-proof
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2270.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | (3137) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (378), (2597), (2987), (3137) are
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | (3138) all_24_2 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | (3139) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (3138) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | (3140) all_10_2 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3140) implies:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_10_2 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (3141) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | (3142) all_32_2 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (3141) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | (3143) ~ (all_52_1 = e2)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (3141) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | (3144) ~ (all_52_2 = e2)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (3141) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | (3145) ~ (all_52_4 = e2)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (3141) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | (3146) ~ (all_52_8 = e2)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (3141) imply:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | (3147) op(e3, e3) = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | (3148) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3148) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) all_56_0 = e2 & op(e3, e3) = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3149) implies:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_56_0 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (73), (79),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (82), (110), (126), (133), (134), (136), (141),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (145), (149), (157), (158), (160), (162),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (167), (168), (169), (170), (193),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (197), (200), (202), (203), (207),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (218), (219), (220),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (227), (229),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (235), (236), (239),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (253), (261), (262), (263), (272), (274),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (376), (2584), (2585), (2586), (2589),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2594), (2595), (2917), (2918), (2919), (2920),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2927), (2928), (2932), (2933), (2944), (2950),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2966), (2967), (2968), (2969), (2970), (2981),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2982), (2985), (3139), (3142), (3143), (3144),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3145), (3146), (3147), (3150), (function-axioms)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2228.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_56_1 = e2 & op(e3, e2) = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3151) implies:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_56_1 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (2927),
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3147), (3152), (function-axioms) are inconsistent
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2316.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | (3153) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3153) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) all_56_4 = e2 & op(e3, e1) = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3154) implies:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) all_56_4 = e2
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3156) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_56_4 = e1 & op(e3, e1) = e1
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3155), (3157) are inconsistent by sub-proof
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2862.
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_56_5 = e1 & op(e2, e1) = e1
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3158) implies:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) all_56_5 = e1
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3160) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_56_0 = e2 & op(e3, e3) = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3161) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) all_56_0 = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (73), (79),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (82), (110), (126), (133), (134), (136), (141),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (145), (149), (157), (158), (160), (162),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (167), (168), (169), (170), (193),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (197), (200), (202), (203), (207),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (218), (219), (220),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (227), (229),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (235), (236), (239),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (253), (261), (262), (263), (272), (274),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (376), (2584), (2585), (2586), (2589),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594), (2595), (2917), (2918), (2919), (2920),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927), (2928), (2932), (2933), (2944), (2950),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966), (2967), (2968), (2969), (2970), (2981),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982), (2985), (3139), (3142), (3143), (3144),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145), (3146), (3147), (3162), (function-axioms)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2228.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_56_2 = e2 & op(e2, e3) = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3163) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) op(e2, e3) = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3143), (3164), (function-axioms) are
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3165) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_56_6 = e2 & op(e1, e3) = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3166) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) all_56_6 = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (3155), (3159), (3168) are inconsistent
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2227.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3169) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_56_8 = e3 & op(e1, e1) = e3
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (3170), (function-axioms) are
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) all_56_14 = e3 & op(e0, e1) = e3
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3171) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_56_14 = e3
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (2594), (3143), (3173),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3300.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3174) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_56_5 = e2 & op(e2, e1) = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3175) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) all_56_5 = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (2932), (3155), (3172),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) are inconsistent by sub-proof #2225.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) all_56_10 = e2 & op(e2, e0) = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3177) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) all_56_10 = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (207),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (222), (223), (224), (231), (235),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594), (2927), (2944), (2967), (2968), (3147),
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167), (3178), (function-axioms) are inconsistent
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2239.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) all_56_12 = e2 & op(e0, e3) = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3179) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_56_12 = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2944), (3180) are inconsistent by sub-proof
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3279.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3181) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) all_56_8 = e1 & op(e1, e1) = e1
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2932), (3182) are inconsistent by sub-proof
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) all_56_14 = e1 & op(e0, e1) = e1
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2968), (3183), (function-axioms) are
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) all_56_9 = e2 & op(e3, e0) = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2927), (3184) are inconsistent by sub-proof
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | | #3196.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3185) all_54_15 = e0
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2955), (3185) are inconsistent by
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | sub-proof #2676.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | (3186) all_56_11 = e0 & op(e1, e0) = e0
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | ALPHA: (3186) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | (3187) op(e1, e0) = e0
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | REF_CLOSE: (160), (2920), (3187), (function-axioms) are
% 244.53/47.99 | | | | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | End of split
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | (3188) all_16_2 = e0
% 244.53/47.99 | | | | | | | | | | (3189) ( ~ (all_16_0 = e2) & op(e3, all_16_1) = all_16_0
% 244.53/47.99 | | | | | | | | | | & op(e3, e0) = all_16_1 & $i(all_16_0) &
% 244.53/47.99 | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e1) & op(e3, e0)
% 244.53/47.99 | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | COMBINE_EQS: (331), (3188) imply:
% 244.53/47.99 | | | | | | | | | | (3190) all_10_2 = e0
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | SIMP: (3190) implies:
% 244.53/47.99 | | | | | | | | | | (3191) all_10_2 = e0
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | COMBINE_EQS: (284), (3191) imply:
% 244.53/47.99 | | | | | | | | | | (3192) all_50_2 = e0
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | REDUCE: (342), (3191) imply:
% 244.53/47.99 | | | | | | | | | | (3193) ~ (all_52_2 = e0)
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | REDUCE: (344), (3191) imply:
% 244.53/47.99 | | | | | | | | | | (3194) ~ (all_52_3 = e0)
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | REDUCE: (348), (3191) imply:
% 244.53/47.99 | | | | | | | | | | (3195) ~ (all_52_8 = e0)
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | REDUCE: (350), (3191) imply:
% 244.53/47.99 | | | | | | | | | | (3196) ~ (all_52_12 = e0)
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | REDUCE: (378), (3191) imply:
% 244.53/47.99 | | | | | | | | | | (3197) ~ (e1 = e0)
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | BETA: splitting (230) gives:
% 244.53/47.99 | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | (3198) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 244.53/47.99 | | | | | | | | | | | & op(e3, e2) = e0)
% 244.53/47.99 | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | BETA: splitting (3198) gives:
% 244.53/47.99 | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | (3199) all_56_0 = e0 & op(e3, e3) = e0
% 244.53/47.99 | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | ALPHA: (3199) implies:
% 244.53/47.99 | | | | | | | | | | | | (3200) all_56_0 = e0
% 244.53/47.99 | | | | | | | | | | | | (3201) op(e3, e3) = e0
% 244.53/47.99 | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | BETA: splitting (58) gives:
% 244.53/47.99 | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | (3202) ~ (all_18_2 = e0)
% 244.53/47.99 | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | REDUCE: (328), (3202) imply:
% 244.53/47.99 | | | | | | | | | | | | | (3203) ~ (all_6_2 = e0)
% 244.53/47.99 | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | BETA: splitting (213) gives:
% 244.53/47.99 | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | (3204) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 244.53/47.99 | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 244.53/47.99 | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (226), (227),
% 244.53/47.99 | | | | | | | | | | | | | | (228), (2594), (3193), (3204), (function-axioms)
% 244.53/47.99 | | | | | | | | | | | | | | are inconsistent by sub-proof #2272.
% 244.53/47.99 | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | (3205) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 244.53/47.99 | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 244.53/47.99 | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | BETA: splitting (3205) gives:
% 244.53/47.99 | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | (3206) all_56_8 = e0 & op(e1, e1) = e0
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | REF_CLOSE: (39), (3203), (3206), (function-axioms) are
% 244.53/47.99 | | | | | | | | | | | | | | | inconsistent by sub-proof #3207.
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | (3207) all_56_11 = e0 & op(e1, e0) = e0
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | ALPHA: (3207) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | (3208) all_56_11 = e0
% 244.53/47.99 | | | | | | | | | | | | | | | (3209) op(e1, e0) = e0
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 244.53/47.99 | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | (3210) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 244.53/47.99 | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 244.53/47.99 | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (2588), (3195), (3210),
% 244.53/47.99 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.53/47.99 | | | | | | | | | | | | | | | | #2224.
% 244.53/47.99 | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | (3211) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 244.53/47.99 | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 244.53/47.99 | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | BETA: splitting (3211) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | (3212) all_56_8 = e0 & op(e1, e1) = e0
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (3203), (3212), (function-axioms) are
% 244.53/47.99 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3207.
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | (3213) all_56_14 = e0 & op(e0, e1) = e0
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | ALPHA: (3213) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | | | (3214) all_56_14 = e0
% 244.53/47.99 | | | | | | | | | | | | | | | | | (3215) op(e0, e1) = e0
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 244.53/47.99 | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (3215) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | (3216) all_52_11 = e0
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 244.53/47.99 | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (3209) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | (3217) all_52_14 = e0
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | REDUCE: (370), (3217) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | (3218) ~ (all_6_2 = e0)
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | REDUCE: (374), (3217) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | (3219) ~ (all_4_2 = e0)
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | SIMP: (3219) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | | | (3220) ~ (all_4_2 = e0)
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | (3221) all_54_15 = e3
% 244.53/47.99 | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (380), (3221) are inconsistent by sub-proof
% 244.53/47.99 | | | | | | | | | | | | | | | | | | #3475.
% 244.53/47.99 | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | (3222) ~ (all_54_15 = e3)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | (3223) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 244.53/47.99 | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | BETA: splitting (3223) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | (3224) all_54_15 = e2
% 244.53/47.99 | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (3224) are inconsistent by sub-proof
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | #3474.
% 244.53/47.99 | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | Case 2:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | (3225) ~ (all_54_15 = e2)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | (3226) all_54_15 = e1 | all_54_15 = e0
% 244.53/47.99 | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (3226) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3227) all_54_15 = e1
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3227) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3228) all_4_2 = e1
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | SIMP: (3228) implies:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3229) all_4_2 = e1
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (3229) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3230) all_20_2 = e1
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (3229) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3231) all_34_2 = e1
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (3229) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3232) ~ (all_52_3 = e1)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (3229) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3233) ~ (all_52_7 = e1)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (3229) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3234) ~ (all_52_12 = e1)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3229) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3235) ~ (all_52_13 = e1)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (3229) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3236) ~ (e3 = e1)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (3229) imply:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | (3237) ~ (e2 = e1)
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | |
% 244.53/47.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | |
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | (3238) ~ (all_20_2 = e1)
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | |
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3230), (3238) imply:
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | (3239) $false
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | |
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3239) is inconsistent.
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | |
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | |
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | (3240) ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | |
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3240) gives:
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | |
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/47.99 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | (3241) ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0 &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3241) implies:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | (3242) ~ (all_20_0 = e2)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | (3243) op(e0, e1) = all_20_1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | (3244) op(e0, all_20_1) = all_20_0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | (3245) ~ (all_34_2 = e1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3231), (3245) imply:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | (3246) $false
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3246) is inconsistent.
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | (3247) ( ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | (3248) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (168),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | (207), (211), (212), (222), (223), (224), (2594),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | (3208), (3214), (3232), (3233), (3234), (3248),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | #2220.
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | (3249) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3249) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3250) all_56_11 = e1 & op(e1, e0) = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3250) implies:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_56_11 = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3208), (3251) are inconsistent by sub-proof
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | #3088.
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3252) all_56_15 = e1 & op(e0, e0) = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3252) implies:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3253) all_56_15 = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3254) op(e0, e0) = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_20_1,
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3215), (3243) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3255) all_20_1 = e0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3244), (3255) imply:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3256) op(e0, e0) = all_20_0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3247) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3257) implies:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) ~ (all_34_0 = e3)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) op(e0, e1) = all_34_1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) op(e0, all_34_1) = all_34_0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_20_0,
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3254), (3256) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_20_0 = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3215), (3259) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_34_1 = e0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3260), (3262) imply:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) op(e0, e0) = all_34_0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (45), (85), (91),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (106), (113), (117), (120), (123), (128),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (140), (144), (145),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (158), (159), (162), (163),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (191), (192),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (196), (197), (198), (200), (201),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (206), (209), (210), (211), (212),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (219), (220),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (239),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (251), (252), (261), (262), (263),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (272), (273), (274), (275), (306), (336),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (338), (363), (365), (366), (376), (378), (2581),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (2583), (2584), (2585), (2586), (2587), (2588),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (2589), (2594), (2595), (3189), (3192), (3193),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3194), (3195), (3196), (3200), (3201), (3203),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3208), (3209), (3214), (3215), (3232), (3233),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3234), (3235), (3253), (3254), (3258), (3263),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | #2182.
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3264) implies:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) ~ (all_34_1 = e2)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) op(e0, e1) = all_34_1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_20_0,
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3254), (3256) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) all_20_0 = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3215), (3266) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_34_1 = e0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3265), (3268) imply:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) ~ (e2 = e0)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) ~ (all_36_2 = e2)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (3270) imply:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) ~ (all_6_2 = e2)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (39), (136), (149), (158), (159),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (167), (170), (194), (211), (212),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (226), (231), (233), (235),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (338), (363), (376), (2585), (2587),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594), (2595), (3194), (3200), (3201), (3203),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208), (3209), (3214), (3233), (3253), (3254),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271), (function-axioms) are inconsistent by
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2219.
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_36_2 = e2
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) ( ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (45), (91), (103),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (113), (117), (120), (123), (128), (133),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (140), (144), (145), (146),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (158), (159), (162), (163), (165),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (191), (192), (195),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (200), (201), (202), (203),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (210), (211), (212), (213), (214),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (222), (223),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (231), (232),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (239), (241), (242),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (261), (262), (263), (264), (272),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (365), (366),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (378), (2581), (2583), (2584), (2585),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586), (2587), (2588), (2589), (2594), (2595),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189), (3192), (3193), (3194), (3195), (3196),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200), (3201), (3203), (3208), (3209), (3214),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215), (3232), (3233), (3234), (3235), (3253),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254), (3272), (3273), (function-axioms) are
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2184.
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | (3274) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3274) implies:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | (3275) ~ (all_20_1 = e3)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | (3276) op(e0, e1) = all_20_1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | (3277) ~ (all_34_2 = e1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3231), (3277) imply:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | (3278) $false
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3278) is inconsistent.
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | (3279) ( ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | (3280) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (168),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | (207), (211), (212), (222), (223), (224), (2594),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | (3208), (3214), (3232), (3233), (3234), (3280),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | #2220.
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | (3281) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3281) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3282) all_56_11 = e1 & op(e1, e0) = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3282) implies:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3283) all_56_11 = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3208), (3283) are inconsistent by sub-proof
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | #3088.
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_56_15 = e1 & op(e0, e0) = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3284) implies:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3285) all_56_15 = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3286) op(e0, e0) = e1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_20_1,
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3215), (3276) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3287) all_20_1 = e0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3279) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3288) implies:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) ~ (all_34_0 = e3)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) op(e0, e1) = all_34_1
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) op(e0, all_34_1) = all_34_0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3215), (3290) gives:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) all_34_1 = e0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3291), (3292) imply:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) op(e0, e0) = all_34_0
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (45), (85), (91),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (106), (113), (117), (120), (123), (128),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (140), (144), (145),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (158), (159), (162), (163),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (191), (192),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (195), (196), (197), (198), (200), (201),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (206), (209), (210), (211), (212),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (219), (220),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (239),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (251), (252), (261), (262), (263),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (272), (273), (274), (275), (306), (336),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (338), (363), (365), (366), (376), (378), (2581),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (2583), (2584), (2585), (2586), (2587), (2588),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (2589), (2594), (2595), (3189), (3192), (3193),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3194), (3195), (3196), (3200), (3201), (3203),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3208), (3209), (3214), (3215), (3232), (3233),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3234), (3235), (3285), (3286), (3289), (3293),
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | #2182.
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3294) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) ~ (all_34_1 = e2)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) op(e0, e1) = all_34_1
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3215), (3296) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) all_34_1 = e0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3295), (3297) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) ~ (e2 = e0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (85),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (103), (106), (113), (117), (120), (123),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (134), (135), (136), (140), (144),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (158), (159), (162),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (168), (169), (170), (191),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (197), (198), (200),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (206), (209), (210), (211),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (219),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (232), (233), (234), (235), (236),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (242), (251), (252), (261), (262),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (263), (264), (272), (273), (274), (275), (306),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (336), (338), (363), (365), (366), (376), (378),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (2581), (2583), (2584), (2585), (2586), (2587),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (2588), (2589), (2594), (2595), (3189), (3192),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3193), (3194), (3195), (3196), (3200), (3201),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3203), (3208), (3209), (3214), (3215), (3232),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3233), (3234), (3235), (3285), (3286),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | | #2183.
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | (3299) all_54_15 = e0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3220), (3299) are inconsistent by
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | sub-proof #2676.
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | Case 2:
% 244.67/48.01 | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | (3300) all_18_2 = e0
% 244.67/48.01 | | | | | | | | | | | | | (3301) ( ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0
% 244.67/48.01 | | | | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 244.67/48.01 | | | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 244.67/48.01 | | | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 244.67/48.01 | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | COMBINE_EQS: (328), (3300) imply:
% 244.67/48.01 | | | | | | | | | | | | | (3302) all_6_2 = e0
% 244.67/48.01 | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | SIMP: (3302) implies:
% 244.67/48.01 | | | | | | | | | | | | | (3303) all_6_2 = e0
% 244.67/48.01 | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | COMBINE_EQS: (320), (3303) imply:
% 244.67/48.01 | | | | | | | | | | | | | (3304) all_28_2 = e0
% 244.67/48.01 | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | REDUCE: (368), (3303) imply:
% 244.67/48.01 | | | | | | | | | | | | | (3305) ~ (all_52_11 = e0)
% 244.67/48.01 | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | REDUCE: (370), (3303) imply:
% 244.67/48.01 | | | | | | | | | | | | | (3306) ~ (all_52_14 = e0)
% 244.67/48.01 | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | BETA: splitting (213) gives:
% 244.67/48.01 | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | (3307) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 244.67/48.01 | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 244.67/48.01 | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (226), (227),
% 244.67/48.01 | | | | | | | | | | | | | | (228), (2594), (3193), (3307), (function-axioms)
% 244.67/48.01 | | | | | | | | | | | | | | are inconsistent by sub-proof #2272.
% 244.67/48.01 | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | Case 2:
% 244.67/48.01 | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | (3308) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 244.67/48.01 | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 244.67/48.01 | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 244.67/48.01 | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | (3309) all_56_8 = e0 & op(e1, e1) = e0
% 244.67/48.01 | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | ALPHA: (3309) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | (3310) all_56_8 = e0
% 244.67/48.01 | | | | | | | | | | | | | | | (3311) op(e1, e1) = e0
% 244.67/48.01 | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 244.67/48.01 | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | (3312) all_56_15 = e0 & op(e0, e0) = e0
% 244.67/48.01 | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | ALPHA: (3312) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | (3313) all_56_15 = e0
% 244.67/48.01 | | | | | | | | | | | | | | | | (3314) op(e0, e0) = e0
% 244.67/48.01 | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 244.67/48.01 | | | | | | | | | | | | | | | | e0, e0, simplifying with (36), (3314) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | (3315) all_4_2 = e0
% 244.67/48.01 | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | REDUCE: (375), (3315) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | (3316) ~ (e2 = e0)
% 244.67/48.01 | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | (3317) ~ (all_28_2 = e0)
% 244.67/48.01 | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | REDUCE: (3304), (3317) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | (3318) $false
% 244.67/48.01 | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | CLOSE: (3318) is inconsistent.
% 244.67/48.01 | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.01 | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | (3319) ( ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 244.67/48.01 | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 244.67/48.01 | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | (3320) ~ (all_48_2 = e0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | REDUCE: (2583), (3320) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | (3321) $false
% 244.67/48.01 | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | CLOSE: (3321) is inconsistent.
% 244.67/48.01 | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.01 | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | (3322) ( ~ (all_48_0 = e1) & op(e2, all_48_1) = all_48_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 244.67/48.01 | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 244.67/48.01 | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | (3323) ~ (all_50_2 = e0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | REDUCE: (3192), (3323) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | (3324) $false
% 244.67/48.01 | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | CLOSE: (3324) is inconsistent.
% 244.67/48.01 | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | (3325) ( ~ (all_50_0 = e1) & op(e3, all_50_1) = all_50_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 244.67/48.01 | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | (3326) all_54_7 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3326) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | (3327) all_52_13 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | SIMP: (3327) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | (3328) all_52_13 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3328) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | (3329) ~ (all_52_1 = e3)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3328) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | (3330) ~ (all_52_9 = e3)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3328) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | (3331) ~ (all_52_12 = e3)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3328) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | (3332) ~ (all_52_14 = e3)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | SIMP: (3332) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | (3333) ~ (all_52_14 = e3)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | (3334) ~ (all_14_0 = e3) & op(e2, all_14_1) = all_14_0 &
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3334) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | (3335) op(e2, e0) = all_14_1
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | (3336) op(e2, all_14_1) = all_14_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | (3337) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3337) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3338) all_56_2 = e3 & op(e2, e3) = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3338) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3339) all_56_2 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (212),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (2594), (3314), (3331), (3333),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3339), (function-axioms) are inconsistent by
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2177.
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3340) all_56_3 = e3 & op(e2, e2) = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3340) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3341) all_56_3 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2594), (3341) are inconsistent by sub-proof
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | #3373.
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | (3342) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3342) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3343) all_56_5 = e3 & op(e2, e1) = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3343) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3344) all_56_5 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3345) op(e2, e1) = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (45), (106), (117),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (128), (133), (134),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (143), (146), (148),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (162), (163), (164),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (191), (192),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (195), (200), (203), (206), (207), (208), (209),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (214), (215), (216), (217),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (241), (251), (252),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (261), (272), (275), (376), (378), (2581), (2584),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (2585), (2586), (2587), (2594), (2595), (3189),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3192), (3194), (3195), (3200), (3201), (3301),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3305), (3310), (3311), (3313), (3314), (3319),
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3322), (3344), (3345), (function-axioms) are
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2119.
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3346) all_56_10 = e3 & op(e2, e0) = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3346) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3347) all_56_10 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | (3348) op(e2, e0) = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3322) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3349) ~ (all_48_0 = e1) & op(e2, all_48_1) = all_48_0 &
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3349) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3350) ~ (all_48_0 = e1)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3351) op(e2, e0) = all_48_1
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3352) op(e2, all_48_1) = all_48_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e2, simplifying with (3335), (3351)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_48_1 = all_14_1
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3348), (3351) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_48_1 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3353), (3354) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3355) all_14_1 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3352), (3354) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3356) op(e2, e3) = all_48_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3355) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3357) op(e2, e3) = all_14_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | all_14_0, e3, e2, simplifying with (167), (3357)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_52_1 = all_14_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e3, e2, simplifying with (167), (3356)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3359) all_52_1 = all_48_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3358), (3359) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_48_0 = all_14_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3360) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3361) all_48_0 = all_14_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3358) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3362) all_54_4 = all_14_0
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3358) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3363) ~ (all_52_3 = all_14_0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3363) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3364) ~ (all_52_3 = all_14_0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3358) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3365) ~ (all_52_9 = all_14_0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3365) implies:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3366) ~ (all_52_9 = all_14_0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3329), (3358) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3367) ~ (all_14_0 = e3)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2584), (3358) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3368) ~ (all_14_0 = e0)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3350), (3361) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | (3369) ~ (all_14_0 = e1)
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3370) all_54_4 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3362), (3370) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3371) all_14_0 = e3
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3367), (3371) imply:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3372) $false
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3372) is inconsistent.
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3373) ~ (all_54_4 = e3)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3374) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3375) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_56_2 = e1 & op(e2, e3) = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3376) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) op(e2, e3) = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3357), (3362), (3368), (3369), (3374), (3377),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2117.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) all_56_3 = e1 & op(e2, e2) = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3378) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) all_56_3 = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2594), (3379) are inconsistent by sub-proof
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3393.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3380) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) all_56_5 = e1 & op(e2, e1) = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3381) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_56_5 = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3374) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) all_54_4 = e2
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3362), (3383) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) all_14_0 = e2
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3364), (3384) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) ~ (all_52_3 = e2)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3366), (3384) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) ~ (all_52_9 = e2)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3367), (3384) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) ~ (e3 = e2)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (39), (45), (106), (112), (117),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (143),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (146), (148), (149), (157), (158), (159),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (191), (192), (193), (195),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (214), (215),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (239),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (250), (251), (252), (253), (261),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (272), (273), (274), (275), (376), (378),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581), (2584), (2585), (2586), (2587), (2588),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594), (2595), (3189), (3192), (3194), (3195),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196), (3200), (3201), (3301), (3305), (3306),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310), (3311), (3313), (3314), (3319), (3322),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330), (3331), (3333), (3347), (3348), (3382),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385), (3386), (function-axioms) are inconsistent
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2091.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) all_54_4 = e1 | all_54_4 = e0
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3362), (3368), (3369), (3388) are inconsistent by
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) all_56_10 = e1 & op(e2, e0) = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3389) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) all_56_10 = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (168), (212), (3314), (3331),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333), (3390), (function-axioms) are inconsistent
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2178.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3391) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3391) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3392) ~ (all_48_1 = e3)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3393) op(e2, e0) = all_48_1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3335), (3348), (3392), (3393), (function-axioms)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2090.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | (3394) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3394) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | (3395) ~ (all_14_1 = e1)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | (3396) op(e2, e0) = all_14_1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | (3397) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3397) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3398) all_56_2 = e3 & op(e2, e3) = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3398) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3399) all_56_2 = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (212),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (2594), (3314), (3331), (3333),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3399), (function-axioms) are inconsistent by
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2177.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3400) all_56_3 = e3 & op(e2, e2) = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3400) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3401) all_56_3 = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2594), (3401) are inconsistent by sub-proof
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | #3373.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | (3402) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3402) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3403) all_56_5 = e3 & op(e2, e1) = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3403) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3404) all_56_5 = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3405) op(e2, e1) = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (45), (106), (117),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (128), (133), (134),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (143), (146), (148),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (162), (163), (164),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (191), (192),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (195), (200), (203), (206), (207), (208), (209),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (214), (215), (216), (217),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (241), (251), (252),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (261), (272), (275), (376), (378), (2581), (2584),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (2585), (2586), (2587), (2594), (2595), (3189),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3192), (3194), (3195), (3200), (3201), (3301),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3305), (3310), (3311), (3313), (3314), (3319),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3322), (3404), (3405), (function-axioms) are
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2119.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3406) all_56_10 = e3 & op(e2, e0) = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3406) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3407) all_56_10 = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | (3408) op(e2, e0) = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3322) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3409) ~ (all_48_0 = e1) & op(e2, all_48_1) = all_48_0 &
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3409) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3410) ~ (all_48_0 = e1)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3411) op(e2, e0) = all_48_1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3412) op(e2, all_48_1) = all_48_0
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e2, simplifying with (3396), (3411)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3413) all_48_1 = all_14_1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3408), (3411) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3414) all_48_1 = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3413), (3414) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_14_1 = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3412), (3414) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3416) op(e2, e3) = all_48_0
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e3, e2, simplifying with (167), (3416)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3417) all_52_1 = all_48_0
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3417) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3418) all_54_4 = all_48_0
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3417) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3419) ~ (all_52_3 = all_48_0)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3419) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3420) ~ (all_52_3 = all_48_0)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3417) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3421) ~ (all_52_9 = all_48_0)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3421) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3422) ~ (all_52_9 = all_48_0)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3329), (3417) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3423) ~ (all_48_0 = e3)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2584), (3417) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | (3424) ~ (all_48_0 = e0)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_54_4 = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3418), (3425) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3426) all_48_0 = e3
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3423), (3426) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3427) $false
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3427) is inconsistent.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3428) ~ (all_54_4 = e3)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3429) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3430) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) all_56_2 = e1 & op(e2, e3) = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3431) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) op(e2, e3) = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3410), (3416), (3418), (3424), (3429), (3432),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2088.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) all_56_3 = e1 & op(e2, e2) = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3433) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) all_56_3 = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2594), (3434) are inconsistent by sub-proof
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3393.
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3435) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3435) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3436) all_56_5 = e1 & op(e2, e1) = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3436) implies:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) all_56_5 = e1
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3429) gives:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) all_54_4 = e2
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3418), (3438) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3439) all_48_0 = e2
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3420), (3439) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3440) ~ (all_52_3 = e2)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3422), (3439) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3441) ~ (all_52_9 = e2)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3423), (3439) imply:
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3442) ~ (e3 = e2)
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (39), (45), (106), (112), (117),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (143),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (146), (148), (149), (157), (158), (159),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (191), (192), (193), (195),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (214), (215),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 244.67/48.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (239),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (250), (251), (252), (253), (261),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (272), (273), (274), (275), (376), (378),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581), (2584), (2585), (2586), (2587), (2588),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594), (2595), (3189), (3192), (3194), (3195),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196), (3200), (3201), (3301), (3305), (3306),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310), (3311), (3313), (3314), (3319), (3322),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330), (3331), (3333), (3407), (3408), (3437),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3440), (3441), (function-axioms) are inconsistent
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2091.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3443) all_54_4 = e1 | all_54_4 = e0
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3410), (3418), (3424), (3443) are inconsistent by
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2089.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3444) all_56_10 = e1 & op(e2, e0) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3444) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3445) all_56_10 = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (168), (212), (3314), (3331),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333), (3445), (function-axioms) are inconsistent
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2178.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | (3446) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3446) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | (3447) ~ (all_48_1 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | (3448) op(e2, e0) = all_48_1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3396), (3408), (3447), (3448), (function-axioms)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2090.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | (3449) ~ (all_54_7 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | (3450) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3449) imply:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | (3451) ~ (all_52_13 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | (3452) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3453) all_56_2 = e3 & op(e2, e3) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3453) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3454) all_56_2 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3455) op(e2, e3) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (3455) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3456) all_52_1 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3456) imply:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3457) ~ (all_52_2 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3457) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3458) ~ (all_52_2 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3456) imply:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3459) ~ (all_52_3 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3459) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3460) ~ (all_52_3 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3456) imply:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3461) ~ (all_52_9 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3461) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3462) ~ (all_52_9 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3456) imply:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | (3463) ~ (all_52_13 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | (3464) all_54_6 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (3462), (3464) are inconsistent by
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2704.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | (3465) ~ (all_54_6 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | (3466) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_54_12 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (3460), (3467) are inconsistent by
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3005.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | (3468) ~ (all_54_12 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | (3469) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_54_8 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (3470) imply:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_52_2 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3458), (3471) imply:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3472) $false
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3472) is inconsistent.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3473) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3474) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) all_56_9 = e3 & op(e3, e0) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3475) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_56_9 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) op(e3, e0) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (3477) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_52_12 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3478) imply:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) ~ (all_52_4 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3478) imply:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) ~ (all_52_8 = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3481) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) all_56_6 = e3 & op(e1, e3) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3482) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) all_56_6 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (229), (231),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (378), (3454), (3483), (function-axioms)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2086.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_56_7 = e3 & op(e1, e2) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3484) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) all_56_7 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) op(e1, e2) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3487) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) all_56_4 = e3 & op(e3, e1) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3488) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) op(e3, e1) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3480), (3489), (function-axioms) are
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3466.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) all_56_5 = e3 & op(e2, e1) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3490) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) all_56_5 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (2594),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454), (3491) are inconsistent by sub-proof
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2809.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3492) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) all_56_8 = e3 & op(e1, e1) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (3493), (function-axioms) are
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) all_56_14 = e3 & op(e0, e1) = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3494) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) all_56_14 = e3
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3496) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) all_56_0 = e1 & op(e3, e3) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (378), (3497), (function-axioms) are
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3012.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) all_56_2 = e1 & op(e2, e3) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3454), (3498) are inconsistent by sub-proof
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3205.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3499) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) all_56_6 = e1 & op(e1, e3) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3500) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) all_56_6 = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) op(e1, e3) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (110), (157),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (169), (170),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (210), (214), (215), (216), (218),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (231), (233), (234), (240),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (376), (2581), (2587), (2594),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595), (3194), (3201), (3301), (3305), (3306),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310), (3311), (3313), (3314), (3319), (3322),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451), (3454), (3455), (3476), (3479), (3485),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486), (3495), (3501), (3502), (function-axioms)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2075.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_56_12 = e1 & op(e0, e3) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3503) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_56_12 = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3201), (3454), (3505),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2712.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3506) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) all_56_6 = e2 & op(e1, e3) = e2
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3507) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) all_56_6 = e2
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) op(e1, e3) = e2
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3510) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) all_56_6 = e1 & op(e1, e3) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3511) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) all_56_6 = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) op(e1, e3) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (110), (157),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (164), (169), (170),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (210), (214), (215), (216), (218),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (231), (233), (234), (240),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (376), (2581), (2587), (2594),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595), (3194), (3201), (3301), (3305), (3306),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310), (3311), (3313), (3314), (3319), (3322),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451), (3454), (3455), (3476), (3479), (3485),
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486), (3495), (3512), (3513), (function-axioms)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2075.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) all_56_7 = e1 & op(e1, e2) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3514) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) op(e1, e2) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3486), (3515), (function-axioms) are
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3516) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) all_56_8 = e1 & op(e1, e1) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3310), (3517) are inconsistent by sub-proof
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3227.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_56_11 = e1 & op(e1, e0) = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3518) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_56_11 = e1
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3520) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) all_56_9 = e2 & op(e3, e0) = e2
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3521) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) all_56_9 = e2
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3476), (3522) are inconsistent by sub-proof
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2223.
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) all_56_10 = e2 & op(e2, e0) = e2
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3523) implies:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) all_56_10 = e2
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3525) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) all_56_2 = e1 & op(e2, e3) = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3526) implies:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) all_56_2 = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (3201), (3504), (3508),
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527), (function-axioms) are inconsistent by
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2732.
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_56_3 = e1 & op(e2, e2) = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2594), (3528) are inconsistent by sub-proof
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2812.
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3529) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) all_56_5 = e1 & op(e2, e1) = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3530) implies:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) all_56_5 = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) op(e2, e1) = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3533) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) all_56_12 = e2 & op(e0, e3) = e2
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3534) implies:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) all_56_12 = e2
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (3200), (3454), (3508),
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) are inconsistent by sub-proof #2720.
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) all_56_13 = e2 & op(e0, e2) = e2
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3536) implies:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) all_56_13 = e2
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3538) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) all_56_1 = e1 & op(e3, e2) = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3539) implies:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) all_56_1 = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3541) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) all_56_4 = e2 & op(e3, e1) = e2
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3542) implies:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) all_56_4 = e2
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3544) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3545) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3546) implies:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) op(e2, e3) = e2
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e2, e3,
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3455), (3547) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) e3 = e2
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3476), (3548) imply:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) all_56_9 = e2
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (3201), (3480),
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540), (3549), (function-axioms) are inconsistent
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2136.
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) all_57_5 = e1 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_21 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e1, e3) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_21 & $i(all_57_1) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_21) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3550) implies:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) op(e1, e3) = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e3,
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3509), (3551) gives:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) e2 = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3543), (3552) imply:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) all_56_4 = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (3311), (3495), (3532),
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553), (function-axioms) are inconsistent by
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2476.
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3455), (3486), (3554), (function-axioms) are
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2363.
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3555) gives:
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (3480), (3532), (3556),
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2074.
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.67/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3557) gives:
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3558) implies:
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) ~ (all_57_31 = e0)
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) op(e0, e0) = all_57_31
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3314), (3559), (3560), (function-axioms) are
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3463.
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.87/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3561) gives:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (221), (3454), (3531), (3562),
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2232.
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (2587), (3194), (3305),
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314), (3563), (function-axioms) are inconsistent
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3457.
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) all_56_5 = e2 & op(e2, e1) = e2
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3564) implies:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) all_56_5 = e2
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (2594), (3454), (3524),
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) are inconsistent by sub-proof #3203.
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3566) gives:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) all_56_8 = e2 & op(e1, e1) = e2
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3567) implies:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3568) op(e1, e1) = e2
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (213), (214), (3485),
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486), (3508), (3568), (function-axioms) are
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2072.
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_56_14 = e2 & op(e0, e1) = e2
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3569) implies:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3570) all_56_14 = e2
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3495), (3570) imply:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571) e3 = e2
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3571) implies:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3572) e3 = e2
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3476), (3572) imply:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3573) all_56_9 = e2
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (3201), (3480),
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540), (3573), (function-axioms) are inconsistent
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2136.
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3574) all_56_3 = e1 & op(e2, e2) = e1
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3574) implies:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3575) all_56_3 = e1
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2594), (3575) imply:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) e1 = e0
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3531), (3576) imply:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3577) all_56_5 = e0
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (2594),
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524), (3577) are inconsistent by sub-proof
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3321.
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3578) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3486), (3537), (3578),
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2831.
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3579) gives:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) all_56_14 = e2 & op(e0, e1) = e2
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3580) implies:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) all_56_14 = e2
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3495), (3581) are inconsistent by sub-proof
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3105.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) all_56_15 = e2 & op(e0, e0) = e2
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (3311), (3313), (3485),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508), (3519), (3582), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2071.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) all_56_10 = e1 & op(e2, e0) = e1
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3524), (3583) are inconsistent by sub-proof
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3390.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3584) gives:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) all_56_11 = e2 & op(e1, e0) = e2
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3585) implies:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) all_56_11 = e2
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (214), (3310), (3486), (3508),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586), (function-axioms) are inconsistent by
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2083.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) all_56_15 = e2 & op(e0, e0) = e2
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (3311), (3313), (3485),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508), (3519), (3587), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2071.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) all_56_12 = e2 & op(e0, e3) = e2
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3504), (3588) are inconsistent by sub-proof
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3237.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3589) gives:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) all_56_8 = e3 & op(e1, e1) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (3590), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) all_56_11 = e3 & op(e1, e0) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3591) implies:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) all_56_11 = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) op(e1, e0) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (39), (45), (110), (112), (117), (120),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (126), (128), (133), (134), (135),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (157),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (168), (169),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (191), (195), (201), (202), (203),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (210), (211), (214), (216),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (239), (241), (250), (251),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (261), (262), (263), (264), (273), (274),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (376), (378), (2585), (2586), (2587),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588), (2589), (2594), (2595), (3189), (3193),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194), (3195), (3201), (3301), (3305), (3310),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311), (3313), (3314), (3319), (3325), (3450),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454), (3455), (3460), (3462), (3466), (3469),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473), (3592), (3593), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2052.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) all_56_10 = e3 & op(e2, e0) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3451), (3594), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3595) gives:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) all_56_11 = e3 & op(e1, e0) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3596) implies:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) all_56_11 = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) op(e1, e0) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (39), (45), (110), (112), (117), (120),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (126), (128), (133), (134), (135),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (157),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (168), (169),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (191), (195), (201), (202), (203),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (210), (211), (214), (216),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (239), (241), (250), (251),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (261), (262), (263), (264), (273), (274),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (376), (378), (2585), (2586), (2587),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588), (2589), (2594), (2595), (3189), (3193),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194), (3195), (3201), (3301), (3305), (3310),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311), (3313), (3314), (3319), (3325), (3450),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454), (3455), (3460), (3462), (3466), (3469),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473), (3597), (3598), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2052.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) all_56_15 = e3 & op(e0, e0) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3599) implies:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) op(e0, e0) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3314), (3600), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3313.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (3601) all_56_3 = e3 & op(e2, e2) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3601) implies:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (3602) all_56_3 = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2594), (3602) are inconsistent by sub-proof
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | #3373.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | (3603) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3603) gives:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (3604) all_56_5 = e3 & op(e2, e1) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3604) implies:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (3605) all_56_5 = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (3606) op(e2, e1) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (45), (106), (117),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (128), (133), (134),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (143), (146), (148),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (162), (163), (164),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (191), (192),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (195), (200), (203), (206), (207), (208), (209),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (214), (215), (216), (217),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (241), (251), (252),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (261), (272), (275), (376), (378), (2581), (2584),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (2585), (2586), (2587), (2594), (2595), (3189),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (3192), (3194), (3195), (3200), (3201), (3301),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (3305), (3310), (3311), (3313), (3314), (3319),
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (3322), (3605), (3606), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2119.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | (3607) all_56_10 = e3 & op(e2, e0) = e3
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3451), (3607), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | (3608) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 244.88/48.06 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 244.88/48.06 | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 244.88/48.06 | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 244.88/48.06 | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 244.88/48.06 | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | ALPHA: (3608) implies:
% 244.88/48.06 | | | | | | | | | | | | | | | | (3609) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 244.88/48.06 | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 244.88/48.06 | | | | | | | | | | | | | | | | e1) = e0)
% 244.88/48.06 | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (2587), (3194), (3305),
% 244.88/48.06 | | | | | | | | | | | | | | | | (3609), (function-axioms) are inconsistent by
% 244.88/48.06 | | | | | | | | | | | | | | | | sub-proof #3078.
% 244.88/48.06 | | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | (3610) all_56_11 = e0 & op(e1, e0) = e0
% 244.88/48.06 | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | ALPHA: (3610) implies:
% 244.88/48.06 | | | | | | | | | | | | | | | (3611) op(e1, e0) = e0
% 244.88/48.06 | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | | REF_CLOSE: (160), (3306), (3611), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 244.88/48.06 | | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | (3612) all_56_1 = e0 & op(e3, e2) = e0
% 244.88/48.06 | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | REF_CLOSE: (170), (2585), (3612), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 244.88/48.06 | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | (3613) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 244.88/48.06 | | | | | | | | | | | & op(e3, e0) = e0)
% 244.88/48.06 | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | BETA: splitting (3613) gives:
% 244.88/48.06 | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | Case 1:
% 244.88/48.06 | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | (3614) all_56_4 = e0 & op(e3, e1) = e0
% 244.88/48.06 | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | REF_CLOSE: (169), (3195), (3614), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 244.88/48.06 | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | (3615) all_56_9 = e0 & op(e3, e0) = e0
% 244.88/48.06 | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | | REF_CLOSE: (168), (3196), (3615), (function-axioms) are
% 244.88/48.06 | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 244.88/48.06 | | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | | |
% 244.88/48.06 | | | | | | | | | End of split
% 244.88/48.06 | | | | | | | | |
% 244.88/48.06 | | | | | | | | End of split
% 244.88/48.06 | | | | | | | |
% 244.88/48.06 | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | |
% 244.88/48.06 | | | | | | | | (3616) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 &
% 244.88/48.06 | | | | | | | | op(e0, e2) = e0)
% 244.88/48.06 | | | | | | | |
% 244.88/48.06 | | | | | | | | REF_CLOSE: (158), (162), (2586), (2587), (3616),
% 244.88/48.06 | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.88/48.06 | | | | | | | | #2774.
% 244.88/48.06 | | | | | | | |
% 244.88/48.06 | | | | | | | End of split
% 244.88/48.06 | | | | | | |
% 244.88/48.06 | | | | | | End of split
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | Case 2:
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | (3617) all_12_2 = e3
% 244.88/48.06 | | | | | | (3618) ( ~ (all_12_0 = e1) & op(e0, all_12_1) = all_12_0 & op(e0,
% 244.88/48.06 | | | | | | e3) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 244.88/48.06 | | | | | | (all_12_1 = e2) & op(e0, e3) = all_12_1 & $i(all_12_1))
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | COMBINE_EQS: (334), (3617) imply:
% 244.88/48.06 | | | | | | (3619) all_4_2 = e3
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | SIMP: (3619) implies:
% 244.88/48.06 | | | | | | (3620) all_4_2 = e3
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | COMBINE_EQS: (335), (3620) imply:
% 244.88/48.06 | | | | | | (3621) all_26_2 = e3
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | REDUCE: (353), (3620) imply:
% 244.88/48.06 | | | | | | (3622) ~ (all_52_3 = e3)
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | REDUCE: (364), (3620) imply:
% 244.88/48.06 | | | | | | (3623) ~ (all_52_7 = e3)
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | REDUCE: (371), (3620) imply:
% 244.88/48.06 | | | | | | (3624) ~ (all_52_11 = e3)
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | REDUCE: (372), (3620) imply:
% 244.88/48.06 | | | | | | (3625) ~ (all_52_12 = e3)
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | REDUCE: (373), (3620) imply:
% 244.88/48.06 | | | | | | (3626) ~ (all_52_13 = e3)
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | REDUCE: (374), (3620) imply:
% 244.88/48.06 | | | | | | (3627) ~ (all_52_14 = e3)
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | BETA: splitting (212) gives:
% 244.88/48.06 | | | | | |
% 244.88/48.06 | | | | | | Case 1:
% 244.88/48.06 | | | | | | |
% 244.88/48.06 | | | | | | | (3628) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 244.88/48.06 | | | | | | | op(e2, e0) = e3)
% 244.88/48.06 | | | | | | |
% 244.88/48.06 | | | | | | | REF_CLOSE: (164), (168), (3625), (3626), (3628), (function-axioms)
% 244.88/48.06 | | | | | | | are inconsistent by sub-proof #3006.
% 244.88/48.06 | | | | | | |
% 244.88/48.06 | | | | | | Case 2:
% 244.88/48.06 | | | | | | |
% 244.88/48.06 | | | | | | | (3629) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 244.88/48.06 | | | | | | | op(e0, e0) = e3)
% 244.88/48.06 | | | | | | |
% 244.88/48.06 | | | | | | | BETA: splitting (3629) gives:
% 244.88/48.06 | | | | | | |
% 244.88/48.06 | | | | | | | Case 1:
% 244.88/48.06 | | | | | | | |
% 244.88/48.06 | | | | | | | | (3630) all_56_11 = e3 & op(e1, e0) = e3
% 244.88/48.06 | | | | | | | |
% 244.88/48.06 | | | | | | | | ALPHA: (3630) implies:
% 244.88/48.06 | | | | | | | | (3631) op(e1, e0) = e3
% 244.88/48.06 | | | | | | | |
% 244.88/48.06 | | | | | | | | REF_CLOSE: (160), (3627), (3631), (function-axioms) are
% 244.88/48.06 | | | | | | | | inconsistent by sub-proof #3141.
% 244.88/48.06 | | | | | | | |
% 244.88/48.06 | | | | | | | Case 2:
% 244.88/48.06 | | | | | | | |
% 244.88/48.06 | | | | | | | | (3632) all_56_15 = e3 & op(e0, e0) = e3
% 244.88/48.06 | | | | | | | |
% 244.88/48.06 | | | | | | | | ALPHA: (3632) implies:
% 244.88/48.07 | | | | | | | | (3633) all_56_15 = e3
% 244.88/48.07 | | | | | | | | (3634) op(e0, e0) = e3
% 244.88/48.07 | | | | | | | |
% 244.88/48.07 | | | | | | | | BETA: splitting (52) gives:
% 244.88/48.07 | | | | | | | |
% 244.88/48.07 | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | |
% 244.88/48.07 | | | | | | | | | (3635) ~ (all_14_2 = e0)
% 244.88/48.07 | | | | | | | | |
% 244.88/48.07 | | | | | | | | | REDUCE: (333), (3635) imply:
% 244.88/48.07 | | | | | | | | | (3636) ~ (all_8_2 = e0)
% 244.88/48.07 | | | | | | | | |
% 244.88/48.07 | | | | | | | | | BETA: splitting (55) gives:
% 244.88/48.07 | | | | | | | | |
% 244.88/48.07 | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | (3637) ~ (all_16_2 = e0)
% 244.88/48.07 | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | REDUCE: (331), (3637) imply:
% 244.88/48.07 | | | | | | | | | | (3638) ~ (all_10_2 = e0)
% 244.88/48.07 | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | BETA: splitting (58) gives:
% 244.88/48.07 | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | (3639) ~ (all_18_2 = e0)
% 244.88/48.07 | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | REDUCE: (328), (3639) imply:
% 244.88/48.07 | | | | | | | | | | | (3640) ~ (all_6_2 = e0)
% 244.88/48.07 | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | BETA: splitting (64) gives:
% 244.88/48.07 | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | (3641) ~ (all_22_2 = e1)
% 244.88/48.07 | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | REDUCE: (326), (3641) imply:
% 244.88/48.07 | | | | | | | | | | | | (3642) ~ (all_8_2 = e1)
% 244.88/48.07 | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | BETA: splitting (199) gives:
% 244.88/48.07 | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | (3643) all_54_5 = e3
% 244.88/48.07 | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | REF_CLOSE: (271), (377), (3643) are inconsistent by sub-proof
% 244.88/48.07 | | | | | | | | | | | | | #3472.
% 244.88/48.07 | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | Case 2:
% 244.88/48.07 | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | (3644) ~ (all_54_5 = e3)
% 244.88/48.07 | | | | | | | | | | | | | (3645) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 244.88/48.07 | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | BETA: splitting (3645) gives:
% 244.88/48.07 | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | (3646) all_54_5 = e2
% 244.88/48.07 | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | COMBINE_EQS: (271), (3646) imply:
% 244.88/48.07 | | | | | | | | | | | | | | (3647) all_8_2 = e2
% 244.88/48.07 | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | SIMP: (3647) implies:
% 244.88/48.07 | | | | | | | | | | | | | | (3648) all_8_2 = e2
% 244.88/48.07 | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | REDUCE: (351), (3648) imply:
% 244.88/48.07 | | | | | | | | | | | | | | (3649) ~ (all_52_1 = e2)
% 244.88/48.07 | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | REDUCE: (358), (3648) imply:
% 244.88/48.07 | | | | | | | | | | | | | | (3650) ~ (all_52_7 = e2)
% 244.88/48.07 | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | REDUCE: (362), (3648) imply:
% 244.88/48.07 | | | | | | | | | | | | | | (3651) ~ (all_52_13 = e2)
% 244.88/48.07 | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | REDUCE: (377), (3648) imply:
% 244.88/48.07 | | | | | | | | | | | | | | (3652) ~ (e3 = e2)
% 244.88/48.07 | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | REDUCE: (42), (3648) imply:
% 244.88/48.07 | | | | | | | | | | | | | | (3653) op(e2, e2) = e2
% 244.88/48.07 | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 244.88/48.07 | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | (3654) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 244.88/48.07 | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 244.88/48.07 | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | BETA: splitting (3654) gives:
% 244.88/48.07 | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | (3655) all_56_2 = e2 & op(e2, e3) = e2
% 244.88/48.07 | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | ALPHA: (3655) implies:
% 244.88/48.07 | | | | | | | | | | | | | | | | (3656) op(e2, e3) = e2
% 244.88/48.07 | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3649), (3656), (function-axioms) are
% 244.88/48.07 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 244.88/48.07 | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | Case 2:
% 244.88/48.07 | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | (3657) all_56_3 = e2 & op(e2, e2) = e2
% 244.88/48.07 | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | ALPHA: (3657) implies:
% 244.88/48.07 | | | | | | | | | | | | | | | | (3658) all_56_3 = e2
% 244.88/48.07 | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | (3659) ~ (all_24_2 = e2)
% 244.88/48.07 | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | REDUCE: (323), (3659) imply:
% 244.88/48.07 | | | | | | | | | | | | | | | | | (3660) ~ (all_10_2 = e2)
% 244.88/48.07 | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | (3661) all_54_0 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (3661) imply:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | (3662) all_10_2 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | SIMP: (3662) implies:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | (3663) all_10_2 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | REDUCE: (346), (3663) imply:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | (3664) ~ (all_52_4 = e3)
% 244.88/48.07 | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | REDUCE: (348), (3663) imply:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | (3665) ~ (all_52_8 = e3)
% 244.88/48.07 | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | (3666) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 244.88/48.07 | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (3666) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | (3667) all_56_0 = e3 & op(e3, e3) = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | ALPHA: (3667) implies:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | (3668) all_56_0 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | (3669) op(e3, e3) = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | (3670) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3670) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | (3671) all_56_4 = e3 & op(e3, e1) = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3671) implies:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | (3672) op(e3, e1) = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3665), (3672), (function-axioms) are
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3466.
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | (3673) all_56_5 = e3 & op(e2, e1) = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3673) implies:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | (3674) all_56_5 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | (3675) op(e2, e1) = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | (3676) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3676) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | (3677) all_56_6 = e3 & op(e1, e3) = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3677) implies:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | (3678) all_56_6 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3679) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (3653), (3664), (3679),
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | #2702.
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3680) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3680) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_56_7 = e3 & op(e1, e2) = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3681) implies:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_56_7 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) op(e1, e2) = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3684) gives:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3669), (3685), (function-axioms) are inconsistent
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3470.
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (3664), (3683), (3686),
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2125.
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3687) gives:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (3665), (3675), (3688),
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3133.
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3689) gives:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3690) implies:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) op(e3, e0) = e3
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3625), (3691), (function-axioms) are
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3692) gives:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3693) implies:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) op(e2, e0) = e2
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3651), (3694), (function-axioms) are
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3695) implies:
% 244.88/48.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) op(e0, e0) = all_57_31
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3698) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) all_56_6 = e0 & op(e1, e3) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3678), (3699) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3290.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) all_56_7 = e0 & op(e1, e2) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3682), (3700) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3427.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3701) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) all_56_8 = e0 & op(e1, e1) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3702) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) all_56_8 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) op(e1, e1) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (3678),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682), (3683), (3703), (3704), (function-axioms)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2684.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) all_56_11 = e0 & op(e1, e0) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3705) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) all_56_11 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3678), (3683), (3707), (function-axioms) are
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2688.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3708) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) all_56_8 = e1 & op(e1, e1) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3709) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) op(e1, e1) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3711) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) all_56_6 = e2 & op(e1, e3) = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (217),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (236), (3625), (3664), (3668),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674), (3678), (3712), (function-axioms) are
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2907.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) all_56_7 = e2 & op(e1, e2) = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (217),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (236), (3625), (3664), (3668),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674), (3682), (3713), (function-axioms) are
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2900.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3714) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) all_56_8 = e2 & op(e1, e1) = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3715) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) op(e1, e1) = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3710), (3716), (function-axioms) are
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_56_11 = e2 & op(e1, e0) = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3717) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) op(e1, e0) = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3634), (3653), (3696), (3697), (3710),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718), (function-axioms) are inconsistent by
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2049.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) all_56_11 = e1 & op(e1, e0) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3719) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_56_11 = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3706), (3720) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3088.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_56_13 = e3 & op(e0, e2) = e3
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3721) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) all_56_13 = e3
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (168), (170),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (236), (3625), (3649),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664), (3674), (3723), (function-axioms) are
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2048.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3724) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_56_6 = e2 & op(e1, e3) = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (217),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (236), (3625), (3664), (3668),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674), (3678), (3725), (function-axioms) are
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2907.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) all_56_12 = e2 & op(e0, e3) = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3726) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) all_56_12 = e2
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3728) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_56_12 = e1 & op(e0, e3) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3727), (3729) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2927.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) all_56_13 = e1 & op(e0, e2) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3722), (3730) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3339.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3731) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_56_14 = e1 & op(e0, e1) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3732) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) all_56_14 = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3734) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) all_56_4 = e0 & op(e3, e1) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3735) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) all_56_4 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3737) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_56_0 = e1 & op(e3, e3) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3738) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) op(e3, e3) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3669), (3739), (function-axioms) are
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) all_56_2 = e1 & op(e2, e3) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3740) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) all_56_2 = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3742) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) all_56_2 = e0 & op(e2, e3) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3743) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_56_2 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3741), (3744) imply:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) e1 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3733), (3745) imply:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) all_56_14 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (3674),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675), (3736), (3746), (function-axioms) are
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3168.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) all_56_3 = e0 & op(e2, e2) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3747) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) all_56_3 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (229),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (3668), (3674), (3678), (3748),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2169.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3749) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) all_56_5 = e0 & op(e2, e1) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3674), (3750) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3386.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_56_10 = e0 & op(e2, e0) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (217),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (222), (223), (229), (231), (233),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (3625), (3658), (3664), (3668), (3674),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675), (3678), (3727), (3751), (function-axioms)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2046.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (208), (3633), (3678), (3722),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733), (3752) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2045.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) all_56_5 = e0 & op(e2, e1) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3674), (3753) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3386.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3754) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) all_56_8 = e0 & op(e1, e1) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3755) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) all_56_8 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) op(e1, e1) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3758) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) all_56_0 = e1 & op(e3, e3) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3759) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) op(e3, e3) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3669), (3760), (function-axioms) are
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_56_2 = e1 & op(e2, e3) = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3761) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_56_2 = e1
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3763) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_56_2 = e0 & op(e2, e3) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3762), (3764) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3011.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) all_56_3 = e0 & op(e2, e2) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3765) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) all_56_3 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (229),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (3668), (3674), (3678), (3766),
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2169.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3767) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) all_56_5 = e0 & op(e2, e1) = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3768) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_56_5 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3674), (3769) imply:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) e3 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3678), (3770) imply:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) all_56_6 = e0
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3676) gives:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3678), (3771) are inconsistent by sub-proof
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3162.
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_56_7 = e3 & op(e1, e2) = e3
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3772) implies:
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_56_7 = e3
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) op(e1, e2) = e3
% 244.88/48.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (3756),
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757), (3771), (3773), (3774), (function-axioms)
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2079.
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658), (3775), (function-axioms) are inconsistent
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) all_56_10 = e0 & op(e2, e0) = e0
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (217),
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (222), (223), (229), (231), (233),
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (3625), (3658), (3664), (3668), (3674),
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675), (3678), (3727), (3776), (function-axioms)
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2046.
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3777) gives:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_56_6 = e1 & op(e1, e3) = e1
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3778) implies:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) all_56_6 = e1
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3678), (3779) imply:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) e3 = e1
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3674), (3780) imply:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_56_5 = e1
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (219), (220), (376), (3633), (3727),
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733), (3757), (3781), (function-axioms) are
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2026.
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) all_56_12 = e1 & op(e0, e3) = e1
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3782) implies:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_56_12 = e1
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (208), (3633), (3722), (3733), (3783)
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2530.
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_56_14 = e0 & op(e0, e1) = e0
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3733), (3784) are inconsistent by sub-proof
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3305.
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) all_56_15 = e1 & op(e0, e0) = e1
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3785) implies:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_56_15 = e1
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (3786) are inconsistent by sub-proof
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3193.
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | (3787) all_56_7 = e3 & op(e1, e2) = e3
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3787) implies:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | (3788) all_56_7 = e3
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | (3789) op(e1, e2) = e3
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3790) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3790) gives:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 244.88/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3669), (3791), (function-axioms) are inconsistent
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3470.
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (3664), (3789), (3792),
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | #2125.
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3793) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3793) gives:
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (3665), (3675), (3794),
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | | #3133.
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3795) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3796) implies:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) op(e3, e0) = e3
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3625), (3797), (function-axioms) are
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3798) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3799) implies:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) op(e2, e0) = e2
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3651), (3800), (function-axioms) are
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3801) implies:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (3789) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) all_52_6 = e3
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (3675) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) all_52_9 = e3
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3803) imply:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) ~ (all_52_2 = e3)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (3804) imply:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) ~ (all_6_2 = e3)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) ~ (all_36_2 = e2)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (3807) imply:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) ~ (all_6_2 = e2)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (194), (338), (370), (376), (3640),
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653), (3669), (3802), (3808), (function-axioms)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2025.
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_36_2 = e2
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) ( ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (3809) imply:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) all_6_2 = e2
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (3811) imply:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) all_40_2 = e2
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3811) imply:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) op(e1, e1) = e2
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) ~ (all_40_2 = e2)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3812), (3814) imply:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) $false
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3815) is inconsistent.
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) ( ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3816) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_40_1 & $i(all_40_0) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3817) implies:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) ~ (all_40_0 = e0)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) op(e1, e2) = all_40_1
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) op(e1, all_40_1) = all_40_0
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3821) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) all_56_12 = e2 & op(e0, e3) = e2
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3822) implies:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) op(e0, e3) = e2
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3823) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) all_52_3 = e2
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_40_1,
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (3789), (3819) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) all_40_1 = e3
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (3824) imply:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) ~ (all_52_2 = e2)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3820), (3825) imply:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) op(e1, e3) = all_40_0
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3810) gives:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0 &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3828) implies:
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) op(e1, e2) = all_36_1
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_36_1,
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (3789), (3829) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_36_1 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, e3, e1, simplifying with (163), (3827)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) all_52_2 = all_40_0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (3831) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) all_54_8 = all_40_0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3831) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) ~ (all_52_14 = all_40_0)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3833) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) ~ (all_52_14 = all_40_0)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3805), (3831) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) ~ (all_40_0 = e3)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3826), (3831) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) ~ (all_40_0 = e2)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (160), (196), (213),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (3653), (3669), (3788), (3802), (3813),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818), (3829), (3830), (3832), (3834), (3835),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836), (function-axioms) are inconsistent by
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2019.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3837) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) ~ (all_36_1 = e0)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) op(e1, e2) = all_36_1
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_36_1,
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (3789), (3839) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) all_36_1 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, e3, e1, simplifying with (163), (3827)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) all_52_2 = all_40_0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (3841) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) all_54_8 = all_40_0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3841) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) ~ (all_52_14 = all_40_0)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3843) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) ~ (all_52_14 = all_40_0)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3805), (3841) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) ~ (all_40_0 = e3)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3826), (3841) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) ~ (all_40_0 = e2)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (160), (196), (213),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (3653), (3669), (3788), (3802), (3813),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818), (3839), (3840), (3842), (3844), (3845),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846), (function-axioms) are inconsistent by
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2019.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) all_56_13 = e2 & op(e0, e2) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3847) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) op(e0, e2) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3650), (3848), (function-axioms) are
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3070.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3849) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) all_56_14 = e2 & op(e0, e1) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3850) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) all_56_14 = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (3813), (3851), (function-axioms)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3098.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) all_56_15 = e2 & op(e0, e0) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (217),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (236), (3625), (3633), (3664),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668), (3674), (3852), (function-axioms) are
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2910.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) ~ (all_40_1 = e3) & op(e1, e2) = all_40_1 &
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3853) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) ~ (all_40_1 = e3)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) op(e1, e2) = all_40_1
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3789), (3854), (3855), (function-axioms) are
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2912.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | (3856) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | (3658), (3856), (function-axioms) are inconsistent
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | (3857) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3857) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | (3858) all_56_8 = e3 & op(e1, e1) = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (3858), (function-axioms) are
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | (3859) all_56_14 = e3 & op(e0, e1) = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3859) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | (3860) all_56_14 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | (208), (3633), (3650), (3860), (function-axioms)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2018.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | (3861) all_56_1 = e3 & op(e3, e2) = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | ALPHA: (3861) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | (3862) op(e3, e2) = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3664), (3862), (function-axioms) are
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3469.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | (3863) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (3625), (3665), (3863),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | #2887.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | (3864) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (378), (3638), (3660), (3864) are
% 245.01/48.12 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | (3865) all_24_2 = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (3865) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | (3866) all_10_2 = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | SIMP: (3866) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | (3867) all_10_2 = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | REDUCE: (350), (3867) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | (3868) ~ (all_52_12 = e2)
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | REDUCE: (45), (3867) imply:
% 245.01/48.12 | | | | | | | | | | | | | | | | | (3869) op(e3, e3) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | (3870) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 245.01/48.12 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (3651), (3868), (3870),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.12 | | | | | | | | | | | | | | | | | | #3451.
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | (3871) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 245.01/48.12 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | BETA: splitting (3871) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | (3872) all_56_11 = e2 & op(e1, e0) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | ALPHA: (3872) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | (3873) op(e1, e0) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (110), (160), (162), (163), (164), (167),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | (168), (194), (241), (338), (352), (363), (370),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | (376), (3625), (3634), (3640), (3649), (3653),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | (3869), (3873), (function-axioms) are inconsistent
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | by sub-proof #2017.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | (3874) all_56_15 = e2 & op(e0, e0) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (3874) are inconsistent by sub-proof
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | #3308.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | (3875) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 245.01/48.12 | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.01/48.12 | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | BETA: splitting (3875) gives:
% 245.01/48.12 | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | (3876) all_56_5 = e2 & op(e2, e1) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | ALPHA: (3876) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | (3877) all_56_5 = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | (3878) op(e2, e1) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | (3879) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | BETA: splitting (3879) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | (3880) all_56_4 = e3 & op(e3, e1) = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | ALPHA: (3880) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | (3881) all_56_4 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | (3882) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (3882) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | (3883) all_56_2 = e3 & op(e2, e3) = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | ALPHA: (3883) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | (3884) all_56_2 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | (3885) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3885) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | (3886) all_56_1 = e2 & op(e3, e2) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3886) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | (3887) all_56_1 = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | (3888) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3888) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | (3889) all_56_4 = e0 & op(e3, e1) = e0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3881), (3889) are inconsistent by sub-proof
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | #3231.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | (3890) all_56_5 = e0 & op(e2, e1) = e0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3877), (3890) are inconsistent by sub-proof
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | #3202.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | (3891) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3891) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | (3892) all_56_8 = e0 & op(e1, e1) = e0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3892) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_56_8 = e0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | (3894) op(e1, e1) = e0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | (3895) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3895) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) all_56_4 = e1 & op(e3, e1) = e1
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3881), (3896) are inconsistent by sub-proof
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | #3224.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) all_56_5 = e1 & op(e2, e1) = e1
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3877), (3897) are inconsistent by sub-proof
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | #3377.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | (3898) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3898) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) all_56_8 = e1 & op(e1, e1) = e1
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3893), (3899) are inconsistent by sub-proof
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) all_56_14 = e1 & op(e0, e1) = e1
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3900) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) all_56_14 = e1
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3902) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) all_56_12 = e2 & op(e0, e3) = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3903) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) all_56_12 = e2
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (230), (231),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (235), (3653), (3881), (3884),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887), (3905), (function-axioms) are inconsistent
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2016.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3906) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907) all_56_7 = e3 & op(e1, e2) = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3907) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908) all_56_7 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909) op(e1, e2) = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3910) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (219), (220), (376), (3633), (3653),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877), (3887), (3894), (3901), (3904), (3910),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2015.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3911) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (42), (225), (3636), (3887),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908), (3909), (3911), (function-axioms) are
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2758.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3912) all_56_13 = e3 & op(e0, e2) = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3912) implies:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3913) all_56_13 = e3
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3914) gives:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3915) all_56_1 = e0 & op(e3, e2) = e0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (3877),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881), (3887), (3893), (3894), (3915),
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2014.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3916) all_56_3 = e0 & op(e2, e2) = e0
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (3916), (function-axioms) are
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3917) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3917) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3918) all_56_7 = e0 & op(e1, e2) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3918) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3919) all_56_7 = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3920) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (219), (220), (376), (3633), (3653),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877), (3887), (3894), (3901), (3904), (3920),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2015.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3921) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3921) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3922) all_56_7 = e1 & op(e1, e2) = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3922) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3923) all_56_7 = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3919), (3923) imply:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3924) e1 = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3901), (3924) imply:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3925) all_56_14 = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (207), (208),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (225), (226), (228), (229), (230),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (3633), (3636),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653), (3877), (3881), (3884), (3887), (3925),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2009.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3926) all_56_13 = e1 & op(e0, e2) = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3913), (3926) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3339.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3927) all_56_13 = e0 & op(e0, e2) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3927) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3928) all_56_13 = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3913), (3928) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2846.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3929) all_56_13 = e2 & op(e0, e2) = e2
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3929) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3930) all_56_13 = e2
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3931) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3931) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3932) all_56_1 = e1 & op(e3, e2) = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3932) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3933) all_56_1 = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3887), (3933) imply:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3934) e2 = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3877), (3934) imply:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3935) all_56_5 = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (3881), (3894), (3901),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3935), (function-axioms) are inconsistent by
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2113.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3936) all_56_3 = e1 & op(e2, e2) = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3936) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3937) op(e2, e2) = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3653), (3937), (function-axioms) are
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3938) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3938) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3939) all_56_7 = e1 & op(e1, e2) = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3939) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940) all_56_7 = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (225), (226), (228),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653), (3887), (3930), (3940), (function-axioms)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2012.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3941) all_56_13 = e1 & op(e0, e2) = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (3877), (3881), (3894),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901), (3930), (3941), (function-axioms) are
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2008.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3942) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (3633),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877), (3893), (3942) are inconsistent by
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2007.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (3943) all_56_14 = e0 & op(e0, e1) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3943) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (3944) all_56_14 = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (207), (208),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (225), (226), (228), (229), (230),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (3633), (3636),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (3653), (3877), (3881), (3884), (3887), (3944),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | #2009.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | (3945) all_56_3 = e2 & op(e2, e2) = e2
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3945) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | (3946) all_56_3 = e2
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (167), (221),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (3636), (3649), (3877),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | (3884), (3946), (function-axioms) are inconsistent
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2745.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | (3947) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3947) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | (3948) all_56_7 = e2 & op(e1, e2) = e2
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3948) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | (3949) all_56_7 = e2
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | (3950) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3950) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (3951) all_56_4 = e0 & op(e3, e1) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3881), (3951) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | #3231.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (3952) all_56_5 = e0 & op(e2, e1) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3877), (3952) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | #3202.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | (3953) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3953) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (3954) all_56_8 = e0 & op(e1, e1) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3954) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (3955) all_56_8 = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (3956) op(e1, e1) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | (3957) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3957) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (3958) all_56_6 = e3 & op(e1, e3) = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3958) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (3959) all_56_6 = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (168),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (229), (230), (231), (232), (233),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (3625), (3633), (3638),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651), (3653), (3881), (3884), (3959), (3960),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2003.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3961) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) all_56_7 = e3 & op(e1, e2) = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3962) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) all_56_7 = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) op(e1, e2) = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (3955),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956), (3959), (3963), (3964), (function-axioms)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2684.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) all_56_13 = e3 & op(e0, e2) = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3965) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) all_56_13 = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (214), (215),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (3636), (3653), (3949), (3955),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956), (3959), (3966), (function-axioms) are
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2002.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) all_56_7 = e3 & op(e1, e2) = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3967) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) all_56_7 = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3949), (3968) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | #3096.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | (3969) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | (211), (376), (3633), (3969), (function-axioms)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2899.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (3970) all_56_14 = e0 & op(e0, e1) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3970) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | (3971) all_56_14 = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | (3972) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3972) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (3973) all_56_6 = e3 & op(e1, e3) = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3973) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (3974) all_56_6 = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3975) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3976) all_56_6 = e0 & op(e1, e3) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3974), (3976) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3290.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3977) all_56_7 = e0 & op(e1, e2) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3949), (3977) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2001.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3978) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979) all_56_8 = e0 & op(e1, e1) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3979) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980) all_56_8 = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981) op(e1, e1) = e0
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3982) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983) all_56_12 = e2 & op(e0, e3) = e2
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3983) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984) all_56_12 = e2
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3985) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3949), (3974), (3985) are inconsistent
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2000.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3986) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3986) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987) all_56_8 = e1 & op(e1, e1) = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3980), (3987) are inconsistent by sub-proof
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3227.
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3988) all_56_11 = e1 & op(e1, e0) = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3988) implies:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) all_56_11 = e1
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.01/48.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (168),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (229), (230), (231), (232), (233),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (3625), (3633), (3638),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651), (3653), (3881), (3884), (3974), (3990),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2003.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3991) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3992) all_56_7 = e3 & op(e1, e2) = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3992) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993) all_56_7 = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (3974), (3981), (3989),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993), (function-axioms) are inconsistent by
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2686.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3994) all_56_13 = e3 & op(e0, e2) = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3994) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3995) all_56_13 = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3996) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3984), (3995), (3996) are inconsistent
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1999.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3997) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3997) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3998) all_56_14 = e1 & op(e0, e1) = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3998) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3999) all_56_14 = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3971), (3999) imply:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4000) e1 = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3989), (4000) imply:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4001) all_56_11 = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (168),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (210), (211), (214), (216), (219), (228),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (3625), (3633), (3638), (3651), (3653),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877), (3881), (3884), (3949), (3971), (3974),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984), (4001), (function-axioms) are inconsistent
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1994.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) all_56_15 = e1 & op(e0, e0) = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4002) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) all_56_15 = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (4003) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3193.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) all_56_13 = e2 & op(e0, e2) = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4004) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) all_56_13 = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3949), (3974), (4006) are inconsistent
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2000.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4007) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) all_56_8 = e1 & op(e1, e1) = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3980), (4008) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3227.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) all_56_11 = e1 & op(e1, e0) = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4009) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) all_56_11 = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (168),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (229), (230), (231), (232), (233),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (3625), (3633), (3638),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651), (3653), (3881), (3884), (3974), (4011),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2003.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4012) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) all_56_7 = e3 & op(e1, e2) = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4013) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) all_56_7 = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (3974), (3981), (4010),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014), (function-axioms) are inconsistent by
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2686.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) all_56_13 = e3 & op(e0, e2) = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4015) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) all_56_13 = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4005), (4016) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3266.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (3633),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877), (3980), (4017) are inconsistent by
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2007.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) all_56_11 = e0 & op(e1, e0) = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4018) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) all_56_11 = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4020) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) all_56_12 = e2 & op(e0, e3) = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4021) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) all_56_12 = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (168),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (210), (211), (214), (216), (219), (228),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (3625), (3633), (3638), (3651), (3653),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877), (3881), (3884), (3949), (3971), (3974),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019), (4022), (function-axioms) are inconsistent
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1994.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) all_56_13 = e2 & op(e0, e2) = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4023) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) all_56_13 = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3949), (3974), (4025) are inconsistent
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2000.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4026) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) all_56_8 = e1 & op(e1, e1) = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4027) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) all_56_8 = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (168),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (229), (230), (231), (232), (233),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (3625), (3633), (3638),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651), (3653), (3881), (3884), (3974), (4029),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2003.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4030) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) all_56_7 = e3 & op(e1, e2) = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (3949), (3974), (4019),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028), (4031) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1996.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) all_56_13 = e3 & op(e0, e2) = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4032) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4033) all_56_13 = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4024), (4033) imply:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4034) e3 = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4034) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4035) e3 = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3974), (4035) imply:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) all_56_6 = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (3949), (4019), (4028),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) are inconsistent by sub-proof #1997.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) all_56_11 = e1 & op(e1, e0) = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4019), (4037) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1995.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4038) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) all_56_14 = e2 & op(e0, e1) = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3971), (4039) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3172.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) all_56_15 = e2 & op(e0, e0) = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (4040) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) all_56_7 = e3 & op(e1, e2) = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4041) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) all_56_7 = e3
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3949), (4042) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #3096.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4043) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | (211), (376), (3633), (4043), (function-axioms)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2899.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | (4044) all_56_13 = e2 & op(e0, e2) = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4044) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | (4045) all_56_13 = e2
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | (4046) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4046) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | (4047) all_56_4 = e0 & op(e3, e1) = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3881), (4047) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | #3231.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | (4048) all_56_5 = e0 & op(e2, e1) = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3877), (4048) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | #3202.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | (4049) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4049) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | (4050) all_56_8 = e0 & op(e1, e1) = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4050) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | (4051) all_56_8 = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | (4052) op(e1, e1) = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4053) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4053) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) all_56_2 = e0 & op(e2, e3) = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3884), (4054) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #3329.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) all_56_3 = e0 & op(e2, e2) = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (4055), (function-axioms) are
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4056) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4056) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) all_56_5 = e0 & op(e2, e1) = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4057) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) all_56_5 = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (3881),
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4052), (4058), (function-axioms) are
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2542.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) all_56_10 = e0 & op(e2, e0) = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4059) implies:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) all_56_10 = e0
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4061) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_56_4 = e1 & op(e3, e1) = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3881), (4062) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3224.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) all_56_5 = e1 & op(e2, e1) = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3877), (4063) are inconsistent by sub-proof
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3377.
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4064) gives:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) all_56_8 = e1 & op(e1, e1) = e1
% 245.01/48.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4051), (4065) are inconsistent by sub-proof
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) all_56_14 = e1 & op(e0, e1) = e1
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4066) implies:
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) all_56_14 = e1
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3653), (3884), (4068),
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2392.
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4069) gives:
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) all_56_5 = e1 & op(e2, e1) = e1
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.01/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4070) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071) all_56_5 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (3881), (4052), (4067),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071), (function-axioms) are inconsistent by
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2113.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4072) all_56_10 = e1 & op(e2, e0) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4072) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4073) all_56_10 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4060), (4073) imply:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4074) e1 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4067), (4074) imply:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4075) all_56_14 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (207), (208),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (221), (222), (3633), (3636),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653), (3877), (3881), (3884), (4045), (4075),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1990.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | (4076) all_56_14 = e0 & op(e0, e1) = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4076) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | (4077) all_56_14 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (207), (208),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (221), (222), (3633), (3636),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | (3653), (3877), (3881), (3884), (4045), (4077),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | #1990.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | (4078) all_56_3 = e3 & op(e2, e2) = e3
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (4078) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | (4079) op(e2, e2) = e3
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3653), (4079), (function-axioms) are
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | (4080) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (4080) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | (4081) all_56_5 = e3 & op(e2, e1) = e3
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (4081) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | (4082) all_56_5 = e3
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (219),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | (3881), (4082), (function-axioms) are inconsistent
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | by sub-proof #3218.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | (4083) all_56_10 = e3 & op(e2, e0) = e3
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (4083) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | (4084) all_56_10 = e3
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | (4085) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4085) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | (4086) all_56_4 = e0 & op(e3, e1) = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3881), (4086) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | #3231.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | (4087) all_56_5 = e0 & op(e2, e1) = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3877), (4087) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | #3202.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | (4088) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4088) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | (4089) all_56_8 = e0 & op(e1, e1) = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4089) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | (4090) all_56_8 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | (4091) op(e1, e1) = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | (4092) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4092) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | (4093) all_56_4 = e1 & op(e3, e1) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3881), (4093) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | #3224.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | (4094) all_56_5 = e1 & op(e2, e1) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3877), (4094) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | #3377.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | (4095) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4095) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | (4096) all_56_8 = e1 & op(e1, e1) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4090), (4096) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | (4097) all_56_14 = e1 & op(e0, e1) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4097) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | (4098) all_56_14 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4099) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4099) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) all_56_12 = e2 & op(e0, e3) = e2
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4100) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) all_56_12 = e2
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4102) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) all_56_2 = e0 & op(e2, e3) = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4103) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) all_56_2 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4105) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) all_56_2 = e1 & op(e2, e3) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4106) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) all_56_2 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4104), (4107) imply:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) e1 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4108) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4109) e1 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4098), (4109) imply:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4110) all_56_14 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (218), (219),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (3636), (3653), (3877), (3881),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084), (4110), (function-axioms) are inconsistent
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1988.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4111) all_56_3 = e1 & op(e2, e2) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4111) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112) op(e2, e2) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3653), (4112), (function-axioms) are
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4113) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4113) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4114) all_56_5 = e1 & op(e2, e1) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4114) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4115) all_56_5 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (219), (220), (376), (3633), (4091),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098), (4101), (4115), (function-axioms) are
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2026.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) all_56_10 = e1 & op(e2, e0) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4116) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4117) all_56_10 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4084), (4117) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3024.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) all_56_3 = e0 & op(e2, e2) = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (4118), (function-axioms) are
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4119) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4120) all_56_5 = e0 & op(e2, e1) = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4120) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) all_56_5 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (3881),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090), (4091), (4121), (function-axioms) are
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2542.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) all_56_10 = e0 & op(e2, e0) = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4122) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) all_56_10 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4084), (4123) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3044.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) all_56_13 = e2 & op(e0, e2) = e2
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4124) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) all_56_13 = e2
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4126) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) all_56_2 = e0 & op(e2, e3) = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4127) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) all_56_2 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4129) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) all_56_4 = e1 & op(e3, e1) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3881), (4130) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3224.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_56_5 = e1 & op(e2, e1) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3877), (4131) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3377.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4095) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) all_56_8 = e1 & op(e1, e1) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4090), (4132) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4133) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) all_56_2 = e1 & op(e2, e3) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4134) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_56_2 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4128), (4135) imply:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) e1 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4136) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) e1 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4098), (4137) imply:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) all_56_14 = e0
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4139) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) all_56_12 = e1 & op(e0, e3) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4140) implies:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_56_12 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (208), (3633), (3877), (3881),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4125), (4138), (4141), (4142) are inconsistent by
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1991.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (219), (221),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (3636), (3653), (3877), (3881), (4084),
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095), (4138), (function-axioms) are inconsistent
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1989.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) all_56_13 = e1 & op(e0, e2) = e1
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4125), (4143) are inconsistent by sub-proof
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3278.
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4144) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4097), (4138) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3169.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) all_56_15 = e1 & op(e0, e0) = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (4145) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3276.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) all_56_3 = e1 & op(e2, e2) = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4146) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) op(e2, e2) = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3653), (4147), (function-axioms) are
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4148) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) all_56_5 = e1 & op(e2, e1) = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4149) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) all_56_5 = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (3881), (4091), (4098),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150), (function-axioms) are inconsistent by
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2113.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_56_10 = e1 & op(e2, e0) = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4151) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) all_56_10 = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4084), (4152) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3024.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) all_56_3 = e0 & op(e2, e2) = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (4153), (function-axioms) are
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4154) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) all_56_5 = e0 & op(e2, e1) = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4155) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) all_56_5 = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (3881),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090), (4091), (4156), (function-axioms) are
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2542.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_56_10 = e0 & op(e2, e0) = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4084), (4157) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3363.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | (4158) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (3633),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | (3877), (4090), (4158) are inconsistent by
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2007.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (4159) all_56_14 = e0 & op(e0, e1) = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4159) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (4160) all_56_14 = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (218), (219),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (3636), (3653), (3877), (3881),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (4084), (4160), (function-axioms) are inconsistent
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1988.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | (4161) all_56_5 = e3 & op(e2, e1) = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | ALPHA: (4161) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | (4162) op(e2, e1) = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3878), (4162), (function-axioms) are
% 245.11/48.16 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3382.
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | (4163) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 245.11/48.16 | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | BETA: splitting (4163) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | (4164) all_56_8 = e3 & op(e1, e1) = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (4164), (function-axioms) are
% 245.11/48.16 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | (4165) all_56_14 = e3 & op(e0, e1) = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | ALPHA: (4165) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | (4166) all_56_14 = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | (4167) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (4167) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | (4168) all_56_2 = e3 & op(e2, e3) = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (4168) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | (4169) all_56_2 = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | (4170) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4170) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (4171) all_56_1 = e2 & op(e3, e2) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4171) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (4172) all_56_1 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | (4173) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4173) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | (4174) all_56_4 = e0 & op(e3, e1) = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4174) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | (4175) all_56_4 = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | (4176) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4176) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) all_56_0 = e3 & op(e3, e3) = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4177) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) all_56_0 = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4179) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_56_12 = e2 & op(e0, e3) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4180) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_56_12 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4166), (4181) are inconsistent by
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2894.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) all_56_13 = e2 & op(e0, e2) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4182) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) all_56_13 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (3633), (3653), (4166),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172), (4183), (function-axioms) are inconsistent
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1987.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4184) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) all_56_14 = e2 & op(e0, e1) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4185) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) all_56_14 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4166), (4186) imply:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) e3 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4178), (4187) imply:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) all_56_0 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (168), (236), (3625), (4172), (4175),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188), (function-axioms) are inconsistent by
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2578.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) all_56_15 = e2 & op(e0, e0) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4189) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) all_56_15 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3633), (4190) imply:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) e3 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4178), (4191) imply:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) all_56_0 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (168), (236), (3625), (4172), (4175),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192), (function-axioms) are inconsistent by
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2578.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) all_56_1 = e3 & op(e3, e2) = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4193) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) all_56_1 = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4172), (4194) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | #3261.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | (4195) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (3625), (4175), (4195),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | #2593.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | (4196) all_56_5 = e0 & op(e2, e1) = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3877), (4196) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | #3202.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | (4197) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4197) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | (4198) all_56_8 = e0 & op(e1, e1) = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4198) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_56_8 = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | (4200) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4200) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) all_56_4 = e1 & op(e3, e1) = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4201) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) all_56_4 = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4203) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) all_56_12 = e2 & op(e0, e3) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4204) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) all_56_12 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4166), (4205) are inconsistent by
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2894.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) all_56_13 = e2 & op(e0, e2) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4206) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) all_56_13 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (3633), (3653), (4166),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172), (4207), (function-axioms) are inconsistent
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1987.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4208) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_56_14 = e2 & op(e0, e1) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4209) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) all_56_14 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (3877), (4199), (4202),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) are inconsistent by sub-proof #2739.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) all_56_15 = e2 & op(e0, e0) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4211) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) all_56_15 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3633), (4212) imply:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) e3 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4166), (4213) imply:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) all_56_14 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (3877), (4199), (4202),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) are inconsistent by sub-proof #2739.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) all_56_5 = e1 & op(e2, e1) = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3877), (4215) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | #3377.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | (4216) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4216) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) all_56_8 = e1 & op(e1, e1) = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4199), (4217) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) all_56_14 = e1 & op(e0, e1) = e1
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4166), (4218) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | | #3277.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | (4219) all_56_14 = e0 & op(e0, e1) = e0
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4166), (4219) are inconsistent by sub-proof
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | #3272.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (4220) all_56_3 = e2 & op(e2, e2) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4220) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (4221) all_56_3 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (167), (221),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (3636), (3649), (3877),
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (4169), (4221), (function-axioms) are inconsistent
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2745.
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | (4222) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4222) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (4223) all_56_7 = e2 & op(e1, e2) = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4223) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | (4224) all_56_7 = e2
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | (4225) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4225) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | (4226) all_56_1 = e3 & op(e3, e2) = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4226) implies:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | (4227) all_56_1 = e3
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4228) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3653), (4227), (4228),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | #1986.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4229) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4229) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) all_56_7 = e1 & op(e1, e2) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4230) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) all_56_7 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4224), (4231) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | #3093.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_56_13 = e1 & op(e0, e2) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4232) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) all_56_13 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4166), (4233) are inconsistent by
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2533.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4234) all_56_3 = e3 & op(e2, e2) = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4234) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4235) op(e2, e2) = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3653), (4235), (function-axioms) are
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | (4236) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4236) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4237) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4238) all_56_7 = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4224), (4238) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | #3096.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4239) all_56_13 = e3 & op(e0, e2) = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4239) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4240) all_56_13 = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (207), (208), (3633), (4166),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4240) are inconsistent by sub-proof #2527.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | (4241) all_56_13 = e2 & op(e0, e2) = e2
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4241) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | (4242) all_56_13 = e2
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | (4243) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4243) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4244) all_56_12 = e1 & op(e0, e3) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4244) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4245) all_56_12 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4246) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4246) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) all_56_2 = e0 & op(e2, e3) = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4169), (4247) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | #3329.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) all_56_3 = e0 & op(e2, e2) = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (4248), (function-axioms) are
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4249) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4249) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) all_56_5 = e0 & op(e2, e1) = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4250) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) all_56_5 = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3877), (4251) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | #3367.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) all_56_10 = e0 & op(e2, e0) = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4252) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) all_56_10 = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3653), (4169), (4254),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2392.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4255) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) all_56_5 = e1 & op(e2, e1) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4256) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) all_56_5 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3877), (4257) imply:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) e2 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4258) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) e2 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4242), (4259) imply:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) all_56_13 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4166), (4260) are inconsistent by
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2533.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) all_56_10 = e1 & op(e2, e0) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4261) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) all_56_10 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4253), (4262) imply:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) e1 = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4245), (4263) imply:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) all_56_12 = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (3633), (4166), (4242),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) are inconsistent by sub-proof #3275.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_56_13 = e1 & op(e0, e2) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4265) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4266) all_56_13 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4166), (4266) are inconsistent by
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2533.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | (4267) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4267) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4268) all_56_14 = e1 & op(e0, e1) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4166), (4268) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | #3277.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4269) all_56_15 = e1 & op(e0, e0) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (4269) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | #3276.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | (4270) all_56_3 = e3 & op(e2, e2) = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | ALPHA: (4270) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | (4271) op(e2, e2) = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3653), (4271), (function-axioms) are
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | (4272) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (4272) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | (4273) all_56_5 = e3 & op(e2, e1) = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | ALPHA: (4273) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | (4274) op(e2, e1) = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3878), (4274), (function-axioms) are
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3382.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | (4275) all_56_10 = e3 & op(e2, e0) = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | ALPHA: (4275) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | (4276) all_56_10 = e3
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | (4277) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4277) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | (4278) all_56_12 = e2 & op(e0, e3) = e2
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4278) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | (4279) all_56_12 = e2
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | (3633), (4166), (4279) are inconsistent by
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2894.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | (4280) all_56_13 = e2 & op(e0, e2) = e2
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4280) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | (4281) all_56_13 = e2
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | (4282) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4282) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4283) all_56_12 = e1 & op(e0, e3) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4283) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4284) all_56_12 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4285) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4285) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) all_56_2 = e0 & op(e2, e3) = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4286) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) all_56_2 = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_56_15 = e0 & op(e0, e0) = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3633), (4288) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3197.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4289) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4291) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) all_56_2 = e1 & op(e2, e3) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4292) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) all_56_2 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4287), (4293) imply:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) e1 = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (3633), (4166), (4281),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284), (4294) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1985.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) all_56_3 = e1 & op(e2, e2) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4295) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) op(e2, e2) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3653), (4296), (function-axioms) are
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4297) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) all_56_5 = e1 & op(e2, e1) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4298) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) all_56_5 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3877), (4299) imply:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) e2 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4300) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) e2 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4281), (4301) imply:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_56_13 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4166), (4290), (4302) are inconsistent by
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2896.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) all_56_10 = e1 & op(e2, e0) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4303) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_56_10 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4276), (4304) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3024.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) all_56_3 = e0 & op(e2, e2) = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4305) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) all_56_3 = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (206), (207),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (3633), (3649), (3877),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4166), (4276), (4281), (4306), (function-axioms)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1984.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4307) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4307) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_56_5 = e0 & op(e2, e1) = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3877), (4308) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | #3202.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_56_10 = e0 & op(e2, e0) = e0
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4276), (4309) are inconsistent by sub-proof
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | | #3363.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4310) all_56_13 = e1 & op(e0, e2) = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4310) implies:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (4311) all_56_13 = e1
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4166), (4311) are inconsistent by
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2533.
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | (4312) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4312) gives:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (4313) all_56_14 = e1 & op(e0, e1) = e1
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4166), (4313) are inconsistent by sub-proof
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | #3277.
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (4314) all_56_15 = e1 & op(e0, e0) = e1
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (4314) are inconsistent by sub-proof
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | #3276.
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | (4315) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4315) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | (4316) all_56_14 = e2 & op(e0, e1) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4166), (4316) are inconsistent by sub-proof
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | #3274.
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | (4317) all_56_15 = e2 & op(e0, e0) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (4317) are inconsistent by sub-proof
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | #3308.
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | (4318) all_56_10 = e2 & op(e2, e0) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | ALPHA: (4318) implies:
% 245.11/48.18 | | | | | | | | | | | | | | | | (4319) op(e2, e0) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3651), (4319), (function-axioms) are
% 245.11/48.18 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | (4320) all_54_5 = e1 | all_54_5 = e0
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | REF_CLOSE: (271), (3636), (3642), (4320) are inconsistent by
% 245.11/48.18 | | | | | | | | | | | | | | sub-proof #3433.
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | (4321) all_22_2 = e1
% 245.11/48.18 | | | | | | | | | | | | (4322) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 245.11/48.18 | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 245.11/48.18 | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 245.11/48.18 | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | COMBINE_EQS: (326), (4321) imply:
% 245.11/48.18 | | | | | | | | | | | | (4323) all_8_2 = e1
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | COMBINE_EQS: (313), (4323) imply:
% 245.11/48.18 | | | | | | | | | | | | (4324) all_30_2 = e1
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | REDUCE: (351), (4323) imply:
% 245.11/48.18 | | | | | | | | | | | | (4325) ~ (all_52_1 = e1)
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | REDUCE: (354), (4323) imply:
% 245.11/48.18 | | | | | | | | | | | | (4326) ~ (all_52_4 = e1)
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | REDUCE: (356), (4323) imply:
% 245.11/48.18 | | | | | | | | | | | | (4327) ~ (all_52_6 = e1)
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | REDUCE: (358), (4323) imply:
% 245.11/48.18 | | | | | | | | | | | | (4328) ~ (all_52_7 = e1)
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | REDUCE: (360), (4323) imply:
% 245.11/48.18 | | | | | | | | | | | | (4329) ~ (all_52_9 = e1)
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | REDUCE: (362), (4323) imply:
% 245.11/48.18 | | | | | | | | | | | | (4330) ~ (all_52_13 = e1)
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | REDUCE: (377), (4323) imply:
% 245.11/48.18 | | | | | | | | | | | | (4331) ~ (e3 = e1)
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | REDUCE: (42), (4323) imply:
% 245.11/48.18 | | | | | | | | | | | | (4332) op(e2, e2) = e1
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.11/48.18 | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | (4333) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.11/48.18 | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.11/48.18 | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | BETA: splitting (4333) gives:
% 245.11/48.18 | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | (4334) all_56_1 = e1 & op(e3, e2) = e1
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | ALPHA: (4334) implies:
% 245.11/48.18 | | | | | | | | | | | | | | (4335) all_56_1 = e1
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (225), (227),
% 245.11/48.18 | | | | | | | | | | | | | | (228), (3636), (4332), (4335), (function-axioms)
% 245.11/48.18 | | | | | | | | | | | | | | are inconsistent by sub-proof #3412.
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | (4336) all_56_3 = e1 & op(e2, e2) = e1
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | ALPHA: (4336) implies:
% 245.11/48.18 | | | | | | | | | | | | | | (4337) all_56_3 = e1
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 245.11/48.18 | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | (4338) ~ (all_26_2 = e3)
% 245.11/48.18 | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | REDUCE: (3621), (4338) imply:
% 245.11/48.18 | | | | | | | | | | | | | | | (4339) $false
% 245.11/48.18 | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | CLOSE: (4339) is inconsistent.
% 245.11/48.18 | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | (4340) ( ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0
% 245.11/48.18 | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 245.11/48.18 | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 245.11/48.18 | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 245.11/48.18 | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 245.11/48.18 | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | (4341) ~ (all_24_2 = e2)
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | REDUCE: (323), (4341) imply:
% 245.11/48.18 | | | | | | | | | | | | | | | | (4342) ~ (all_10_2 = e2)
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (42), (76), (91), (110),
% 245.11/48.18 | | | | | | | | | | | | | | | | (113), (117), (118), (121), (123), (125), (136),
% 245.11/48.18 | | | | | | | | | | | | | | | | (139), (143), (144), (145), (146), (148), (158),
% 245.11/48.18 | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 245.11/48.18 | | | | | | | | | | | | | | | | (168), (169), (170), (190), (194), (197), (200),
% 245.11/48.18 | | | | | | | | | | | | | | | | (202), (204), (206), (207), (208), (210), (211),
% 245.11/48.18 | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 245.11/48.18 | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 245.11/48.18 | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 245.11/48.18 | | | | | | | | | | | | | | | | (236), (239), (241), (250), (263), (272), (274),
% 245.11/48.18 | | | | | | | | | | | | | | | | (282), (336), (338), (344), (346), (348), (350),
% 245.11/48.18 | | | | | | | | | | | | | | | | (352), (365), (366), (368), (370), (376), (378),
% 245.11/48.18 | | | | | | | | | | | | | | | | (3633), (3634), (3636), (3638), (3640), (4322),
% 245.11/48.18 | | | | | | | | | | | | | | | | (4324), (4325), (4327), (4329), (4330), (4332),
% 245.11/48.18 | | | | | | | | | | | | | | | | (4337), (4342), (function-axioms) are inconsistent
% 245.11/48.18 | | | | | | | | | | | | | | | | by sub-proof #2885.
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | (4343) all_24_2 = e2
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (4343) imply:
% 245.11/48.18 | | | | | | | | | | | | | | | | (4344) all_10_2 = e2
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | SIMP: (4344) implies:
% 245.11/48.18 | | | | | | | | | | | | | | | | (4345) all_10_2 = e2
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | REDUCE: (340), (4345) imply:
% 245.11/48.18 | | | | | | | | | | | | | | | | (4346) ~ (all_52_1 = e2)
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | REDUCE: (344), (4345) imply:
% 245.11/48.18 | | | | | | | | | | | | | | | | (4347) ~ (all_52_3 = e2)
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | REDUCE: (346), (4345) imply:
% 245.11/48.18 | | | | | | | | | | | | | | | | (4348) ~ (all_52_4 = e2)
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | REDUCE: (350), (4345) imply:
% 245.11/48.18 | | | | | | | | | | | | | | | | (4349) ~ (all_52_12 = e2)
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | REDUCE: (45), (4345) imply:
% 245.11/48.18 | | | | | | | | | | | | | | | | (4350) op(e3, e3) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | (4351) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 245.11/48.18 | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | BETA: splitting (4351) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (4352) all_56_0 = e2 & op(e3, e3) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (85),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (110), (112), (118), (121), (123), (125), (134),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (136), (139), (141), (143), (144), (146), (148),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (164), (167), (168), (169), (170), (190), (192),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (198), (200), (202),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (210), (211), (213),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (235), (236), (241), (242), (250), (252), (253),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (261), (262), (264), (272), (274), (275), (306),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (338), (352), (363), (365), (366), (368), (370),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (376), (3618), (3622), (3624), (3625), (3627),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (3633), (3634), (3636), (3640), (4325), (4326),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (4327), (4328), (4329), (4332), (4337), (4340),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (4346), (4347), (4348), (4349), (4352),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.18 | | | | | | | | | | | | | | | | | | #1793.
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (4353) all_56_2 = e2 & op(e2, e3) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | ALPHA: (4353) implies:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (4354) op(e2, e3) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4346), (4354), (function-axioms) are
% 245.11/48.18 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | End of split
% 245.11/48.18 | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | (4355) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 245.11/48.18 | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 245.11/48.18 | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | BETA: splitting (4355) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (4356) all_56_6 = e2 & op(e1, e3) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | ALPHA: (4356) implies:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | (4357) all_56_6 = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | (4358) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 245.11/48.18 | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (221), (223),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | (224), (3636), (4332), (4350), (4358),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | #1898.
% 245.11/48.18 | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | (4359) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 245.11/48.18 | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (4359) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | (4360) all_56_6 = e1 & op(e1, e3) = e1
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4357), (4360) are inconsistent by sub-proof
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | #3213.
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | (4361) all_56_12 = e1 & op(e0, e3) = e1
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (4361) implies:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | (4362) all_56_12 = e1
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | (4363) op(e0, e3) = e1
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | (4364) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4364) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | (4365) all_56_0 = e3 & op(e3, e3) = e3
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4365) implies:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | (4366) op(e3, e3) = e3
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4350), (4366), (function-axioms) are
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3330.
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | (4367) all_56_2 = e3 & op(e2, e3) = e3
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4367) implies:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | (4368) all_56_2 = e3
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | (4369) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4369) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (4370) all_56_0 = e2 & op(e3, e3) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (85),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (118), (121), (123), (125), (134),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (141), (143), (144), (146), (148),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (164), (167), (168), (169), (170), (190), (192),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (198), (200), (202),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (210), (211), (213),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (241), (242), (250), (252), (253),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (261), (262), (264), (272), (274), (275), (306),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (338), (352), (363), (365), (366), (368), (370),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (376), (3618), (3622), (3624), (3625), (3627),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (3633), (3634), (3636), (3640), (4325), (4326),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (4327), (4328), (4329), (4332), (4337), (4340),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (4346), (4347), (4348), (4349), (4370),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | #1793.
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (4371) all_56_1 = e2 & op(e3, e2) = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4371) implies:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | (4372) all_56_1 = e2
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4373) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4373) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4374) all_56_6 = e3 & op(e1, e3) = e3
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4374) implies:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4375) all_56_6 = e3
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (4350),
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4368), (4375), (function-axioms) are inconsistent
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3160.
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4376) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4376) implies:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4377) all_56_7 = e3
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4378) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4378) gives:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4379) all_56_6 = e0 & op(e1, e3) = e0
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4357), (4379) are inconsistent by sub-proof
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3177.
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4380) all_56_7 = e0 & op(e1, e2) = e0
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4377), (4380) are inconsistent by sub-proof
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3427.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4381) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4381) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4382) all_56_8 = e0 & op(e1, e1) = e0
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (3640), (4382), (function-axioms) are
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3207.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4383) all_56_11 = e0 & op(e1, e0) = e0
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4383) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4384) all_56_11 = e0
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4385) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4385) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4386) all_56_6 = e1 & op(e1, e3) = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4386) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4387) all_56_6 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4357), (4387) imply:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4388) e2 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4372), (4388) imply:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4389) all_56_1 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (225), (227),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636), (4332), (4377), (4389), (function-axioms)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3419.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4390) all_56_7 = e1 & op(e1, e2) = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4390) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4391) op(e1, e2) = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4327), (4391), (function-axioms) are
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3411.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4392) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4393) all_56_8 = e1 & op(e1, e1) = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4393) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4394) all_56_8 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4395) op(e1, e1) = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4396) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4396) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4397) all_56_1 = e0 & op(e3, e2) = e0
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4372), (4397) are inconsistent by sub-proof
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3402.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4398) all_56_3 = e0 & op(e2, e2) = e0
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (4398), (function-axioms) are
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4399) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4399) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4400) all_56_7 = e0 & op(e1, e2) = e0
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4377), (4400) are inconsistent by sub-proof
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3427.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4401) all_56_13 = e0 & op(e0, e2) = e0
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4401) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4402) all_56_13 = e0
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4403) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4403) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4404) all_56_9 = e2 & op(e3, e0) = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4349), (4404), (function-axioms) are
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4405) all_56_10 = e2 & op(e2, e0) = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4405) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4406) all_56_10 = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4407) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4407) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4408) all_56_9 = e1 & op(e3, e0) = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4408) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4409) all_56_9 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410) op(e3, e0) = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (39), (42), (112), (125),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (144), (157), (158), (159), (160), (162),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (167), (168), (190), (206), (207), (208),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (214), (215), (216), (217), (218),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (226),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (241), (250), (376), (3618),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3624), (3625), (3633), (3634), (3636), (4327),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332), (4337), (4340), (4346), (4349), (4350),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362), (4363), (4394), (4395), (4409), (4410),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1901.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4411) all_56_10 = e1 & op(e2, e0) = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4411) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4412) all_56_10 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4406), (4412) imply:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4413) e2 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4413) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4414) e2 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4372), (4414) imply:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415) all_56_1 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (4332), (4377), (4402),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415), (function-axioms) are inconsistent by
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3420.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4416) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3633), (4384), (4416) are inconsistent
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1792.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4417) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4418) all_56_11 = e2 & op(e1, e0) = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4418) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4419) all_56_11 = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4384), (4419) are inconsistent by sub-proof
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3114.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4420) all_56_15 = e2 & op(e0, e0) = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4420) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4421) all_56_15 = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3633), (4421) imply:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4422) e3 = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4377), (4422) imply:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4423) all_56_7 = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (4357), (4384), (4394),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4423) are inconsistent by sub-proof #1997.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4424) all_56_11 = e1 & op(e1, e0) = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4424) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4425) all_56_11 = e1
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4384), (4425) are inconsistent by sub-proof
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3088.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | (4426) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | (211), (376), (3633), (4426), (function-axioms)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2899.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | (4427) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4427) gives:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | (4428) all_56_4 = e2 & op(e3, e1) = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4428) implies:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | (4429) all_56_4 = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | (208), (220), (221), (222), (223), (376), (3633),
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | (3634), (4332), (4368), (4429), (function-axioms)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1791.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | (4430) all_56_9 = e2 & op(e3, e0) = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4349), (4430), (function-axioms) are
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | (4431) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (4357), (4362), (4431) are inconsistent
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | | by sub-proof #2733.
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | (4432) all_56_12 = e2 & op(e0, e3) = e2
% 245.11/48.19 | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4347), (4432), (function-axioms) are
% 245.11/48.19 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 245.11/48.19 | | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | (4433) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.11/48.19 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | REF_CLOSE: (158), (162), (4327), (4328), (4433),
% 245.11/48.19 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.19 | | | | | | | | | | | | | #3080.
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | (4434) all_18_2 = e0
% 245.11/48.19 | | | | | | | | | | | (4435) ( ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0
% 245.11/48.19 | | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 245.11/48.19 | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 245.11/48.19 | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | COMBINE_EQS: (328), (4434) imply:
% 245.11/48.19 | | | | | | | | | | | (4436) all_6_2 = e0
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | COMBINE_EQS: (320), (4436) imply:
% 245.11/48.19 | | | | | | | | | | | (4437) all_28_2 = e0
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | REDUCE: (352), (4436) imply:
% 245.11/48.19 | | | | | | | | | | | (4438) ~ (all_52_2 = e0)
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | REDUCE: (363), (4436) imply:
% 245.11/48.19 | | | | | | | | | | | (4439) ~ (all_52_6 = e0)
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | REDUCE: (365), (4436) imply:
% 245.11/48.19 | | | | | | | | | | | (4440) ~ (all_52_8 = e0)
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | REDUCE: (366), (4436) imply:
% 245.11/48.19 | | | | | | | | | | | (4441) ~ (all_52_9 = e0)
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | REDUCE: (368), (4436) imply:
% 245.11/48.19 | | | | | | | | | | | (4442) ~ (all_52_11 = e0)
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | REDUCE: (370), (4436) imply:
% 245.11/48.19 | | | | | | | | | | | (4443) ~ (all_52_14 = e0)
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | REDUCE: (376), (4436) imply:
% 245.11/48.19 | | | | | | | | | | | (4444) ~ (e3 = e0)
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | REDUCE: (39), (4436) imply:
% 245.11/48.19 | | | | | | | | | | | (4445) op(e1, e1) = e0
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | BETA: splitting (213) gives:
% 245.11/48.19 | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | (4446) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 245.11/48.19 | | | | | | | | | | | | & op(e1, e2) = e0)
% 245.11/48.19 | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | BETA: splitting (4446) gives:
% 245.11/48.19 | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | (4447) all_56_6 = e0 & op(e1, e3) = e0
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | ALPHA: (4447) implies:
% 245.11/48.19 | | | | | | | | | | | | | (4448) all_56_6 = e0
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.19 | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.11/48.19 | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.11/48.19 | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.11/48.19 | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.11/48.19 | | | | | | | | | | | | | (3638), (4442), (4445), (4448), (function-axioms)
% 245.11/48.19 | | | | | | | | | | | | | are inconsistent by sub-proof #1787.
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | (4449) all_56_7 = e0 & op(e1, e2) = e0
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | ALPHA: (4449) implies:
% 245.11/48.19 | | | | | | | | | | | | | (4450) all_56_7 = e0
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.19 | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.11/48.19 | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.11/48.19 | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.11/48.19 | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.11/48.19 | | | | | | | | | | | | | (3638), (4442), (4445), (4450), (function-axioms)
% 245.11/48.19 | | | | | | | | | | | | | are inconsistent by sub-proof #2567.
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | End of split
% 245.11/48.19 | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | Case 2:
% 245.11/48.19 | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | (4451) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 245.11/48.19 | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 245.11/48.19 | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | BETA: splitting (4451) gives:
% 245.11/48.19 | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | (4452) all_56_8 = e0 & op(e1, e1) = e0
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | ALPHA: (4452) implies:
% 245.11/48.19 | | | | | | | | | | | | | (4453) all_56_8 = e0
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | BETA: splitting (64) gives:
% 245.11/48.19 | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | (4454) ~ (all_22_2 = e1)
% 245.11/48.19 | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | REDUCE: (326), (4454) imply:
% 245.11/48.19 | | | | | | | | | | | | | | (4455) ~ (all_8_2 = e1)
% 245.11/48.19 | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 245.11/48.19 | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | Case 1:
% 245.11/48.19 | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | (4456) all_54_5 = e3
% 245.11/48.19 | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4456) imply:
% 245.11/48.19 | | | | | | | | | | | | | | | (4457) all_8_2 = e3
% 245.11/48.19 | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | REDUCE: (377), (4457) imply:
% 245.11/48.19 | | | | | | | | | | | | | | | (4458) $false
% 245.11/48.19 | | | | | | | | | | | | | | |
% 245.11/48.19 | | | | | | | | | | | | | | | CLOSE: (4458) is inconsistent.
% 245.11/48.19 | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | (4459) ~ (all_54_5 = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | (4460) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 245.11/48.20 | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | BETA: splitting (4460) gives:
% 245.11/48.20 | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | (4461) all_54_5 = e2
% 245.11/48.20 | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4461) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | (4462) all_8_2 = e2
% 245.11/48.20 | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | REDUCE: (351), (4462) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | (4463) ~ (all_52_1 = e2)
% 245.11/48.20 | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | REDUCE: (362), (4462) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | (4464) ~ (all_52_13 = e2)
% 245.11/48.20 | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | REDUCE: (377), (4462) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | (4465) ~ (e3 = e2)
% 245.11/48.20 | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | REDUCE: (42), (4462) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | (4466) op(e2, e2) = e2
% 245.11/48.20 | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | (4467) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 245.11/48.20 | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | BETA: splitting (4467) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | (4468) all_56_2 = e2 & op(e2, e3) = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | ALPHA: (4468) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | (4469) op(e2, e3) = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4463), (4469), (function-axioms) are
% 245.11/48.20 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 245.11/48.20 | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | (4470) all_56_3 = e2 & op(e2, e2) = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | ALPHA: (4470) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | (4471) all_56_3 = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | (4472) ~ (all_24_2 = e2)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | REDUCE: (323), (4472) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | (4473) ~ (all_10_2 = e2)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | (4474) all_54_0 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (4474) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | (4475) all_10_2 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (4475) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | (4476) ~ (all_52_4 = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (4475) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | (4477) ~ (all_52_8 = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (4475) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | (4478) op(e3, e3) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | (4479) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4479) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | (4480) all_56_2 = e3 & op(e2, e3) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4480) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | (4481) all_56_2 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | (4482) op(e2, e3) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | (4483) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4483) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4484) all_56_4 = e3 & op(e3, e1) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4484) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4485) op(e3, e1) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4477), (4485), (function-axioms) are
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3466.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4486) all_56_5 = e3 & op(e2, e1) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4486) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4487) all_56_5 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4488) op(e2, e1) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4489) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (4466), (4476), (4489),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | #2702.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4490) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4490) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4491) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (241), (3625), (4442),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4445), (4477), (4478), (4481), (4482), (4487),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4488), (4491), (function-axioms) are inconsistent
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1785.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4492) all_56_13 = e3 & op(e0, e2) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4492) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4493) all_56_13 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4494) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495) all_56_6 = e3 & op(e1, e3) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4495) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) all_56_6 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (167), (229), (231),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463), (4481), (4496), (4497), (function-axioms)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3159.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4498) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) all_56_6 = e2 & op(e1, e3) = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4496), (4499) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3238.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4500) all_56_12 = e2 & op(e0, e3) = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4500) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501) all_56_12 = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4502) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4502) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4503) all_56_1 = e0 & op(e3, e2) = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4503) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4504) all_56_1 = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4505) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4506) all_56_0 = e0 & op(e3, e3) = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4506) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4507) op(e3, e3) = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (236), (3625), (4487), (4504), (4507),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1783.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4508) all_56_2 = e0 & op(e2, e3) = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4481), (4508) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3329.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4509) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4509) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4510) all_56_6 = e0 & op(e1, e3) = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4496), (4510) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3290.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4511) all_56_12 = e0 & op(e0, e3) = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4511) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4512) all_56_12 = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4501), (4512) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4513) e2 = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4471), (4513) imply:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4514) all_56_3 = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (4481),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487), (4514) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2809.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4515) all_56_3 = e0 & op(e2, e2) = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4515) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4516) all_56_3 = e0
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (4481),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487), (4516) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2809.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4517) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (207),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (214), (215), (3633), (4442), (4445),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4493), (4496), (4517), (function-axioms) are
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1782.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4518) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (241), (3625), (4442),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445), (4477), (4478), (4481), (4482), (4487),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4488), (4518), (function-axioms) are inconsistent
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1785.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4519) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471), (4519), (function-axioms) are inconsistent
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | (4520) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4520) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4521) all_56_8 = e3 & op(e1, e1) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (4521), (function-axioms) are
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4522) all_56_14 = e3 & op(e0, e1) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4522) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4523) all_56_14 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4524) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (4466), (4476), (4524),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | #2702.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4525) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (4523), (4525),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | #1781.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | (4526) all_56_3 = e3 & op(e2, e2) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4526) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | (4527) op(e2, e2) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4466), (4527), (function-axioms) are
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | (4528) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4528) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | (4529) all_56_5 = e3 & op(e2, e1) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4529) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | (4530) all_56_5 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | (4531) op(e2, e1) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | (4532) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (4466), (4476), (4532),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | #2702.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | (4533) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4533) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4534) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (164), (168), (169), (170),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (241), (3625), (4442), (4445), (4464), (4466),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4476), (4477), (4478), (4531), (4534),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | #1780.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4535) all_56_13 = e3 & op(e0, e2) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4535) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | (4536) all_56_13 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4537) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4537) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4538) all_56_6 = e3 & op(e1, e3) = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4538) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4539) all_56_6 = e3
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4540) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (168), (170),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (236), (3625), (4463),
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476), (4530), (4540), (function-axioms) are
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2048.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4541) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4541) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4542) all_56_6 = e2 & op(e1, e3) = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4539), (4542) are inconsistent by sub-proof
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3238.
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4543) all_56_12 = e2 & op(e0, e3) = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4543) implies:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4544) all_56_12 = e2
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4545) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4545) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4546) all_56_1 = e0 & op(e3, e2) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4546) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4547) all_56_1 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4548) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4548) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4549) all_56_0 = e0 & op(e3, e3) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4549) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4550) op(e3, e3) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (236), (3625), (4530), (4547), (4550),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1783.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4551) all_56_2 = e0 & op(e2, e3) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4551) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4552) all_56_2 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4553) all_56_15 = e0 & op(e0, e0) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3633), (4553) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3280.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4554) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4554) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4555) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4555) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4556) all_56_12 = e0 & op(e0, e3) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (4471),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4530), (4544), (4552), (4556) are inconsistent by
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1779.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4557) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (4442), (4536), (4557),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2650.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4558) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (4539), (4544), (4558) are inconsistent
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1778.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4559) all_56_3 = e0 & op(e2, e2) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (4559), (function-axioms) are
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4560) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4560) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4561) all_56_7 = e0 & op(e1, e2) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4561) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4562) all_56_7 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (207),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (214), (215), (3633), (4442), (4445),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4536), (4539), (4562), (function-axioms) are
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2568.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4563) all_56_13 = e0 & op(e0, e2) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4563) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4564) all_56_13 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4536), (4564) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2846.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (4565) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (157), (164), (168), (169), (170),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (3625), (4442), (4445), (4464), (4466),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (4476), (4477), (4478), (4531), (4565),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | #1780.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | (4566) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | (4471), (4566), (function-axioms) are inconsistent
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | (4567) all_56_10 = e3 & op(e2, e0) = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4567) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | (4568) all_56_10 = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | (4569) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4569) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | (4570) all_56_4 = e3 & op(e3, e1) = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4570) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | (4571) op(e3, e1) = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4477), (4571), (function-axioms) are
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3466.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | (4572) all_56_5 = e3 & op(e2, e1) = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4572) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | (4573) all_56_5 = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | (4574) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (4466), (4476), (4574),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | #2702.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | (4575) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4575) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (4576) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4576) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (4577) all_56_7 = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (168), (206), (207), (208), (210), (211),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (236), (376), (3625), (3633),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4443), (4445), (4568), (4577),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | #2514.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (4578) all_56_13 = e3 & op(e0, e2) = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4578) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (4579) all_56_13 = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4580) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4580) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4581) all_56_6 = e3 & op(e1, e3) = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4581) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4582) all_56_6 = e3
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4583) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4583) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4584) all_56_0 = e2 & op(e3, e3) = e2
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4584) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4585) op(e3, e3) = e2
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4586) all_56_15 = e0 & op(e0, e0) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3633), (4586) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3280.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4587) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4587) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4588) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4589) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4588) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4590) all_56_12 = e0 & op(e0, e3) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4590) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4591) all_56_12 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4592) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4592) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4593) all_56_9 = e2 & op(e3, e0) = e2
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4593) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4594) all_56_9 = e2
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4595) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4595) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4596) all_56_12 = e1 & op(e0, e3) = e1
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4591), (4596) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2623.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) all_56_13 = e1 & op(e0, e2) = e1
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4597) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) all_56_13 = e1
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4579), (4598) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2902.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4599) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) all_56_14 = e1 & op(e0, e1) = e1
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4600) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) all_56_14 = e1
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4602) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) all_56_2 = e0 & op(e2, e3) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4603) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) all_56_2 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (157), (208), (231),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (3633), (4442), (4579), (4582), (4588),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601), (4604), (function-axioms) are inconsistent
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1773.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) all_56_3 = e0 & op(e2, e2) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4605) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) all_56_3 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (206), (207),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (214), (215), (216), (218), (219),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (236),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3633), (4585), (4594), (4606),
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1910.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4607) gives:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) all_56_5 = e0 & op(e2, e1) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4608) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) all_56_5 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4573), (4609) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3325.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) all_56_10 = e0 & op(e2, e0) = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4610) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) all_56_10 = e0
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4568), (4611) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3044.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) all_56_15 = e1 & op(e0, e0) = e1
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4612) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) all_56_15 = e1
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (4613) are inconsistent by sub-proof
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3193.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) all_56_10 = e2 & op(e2, e0) = e2
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4614) implies:
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) op(e2, e0) = e2
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4464), (4615), (function-axioms) are
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4616) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) all_56_11 = e2 & op(e1, e0) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4617) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_56_11 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (210), (211),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4568), (4589), (4618) are inconsistent by
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2583.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) all_56_15 = e2 & op(e0, e0) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (4619) are inconsistent by sub-proof
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (4442), (4579), (4620),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2650.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) all_56_2 = e2 & op(e2, e3) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4621) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) op(e2, e3) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4463), (4622), (function-axioms) are
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4623) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) all_56_6 = e2 & op(e1, e3) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4582), (4624) are inconsistent by sub-proof
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3238.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) all_56_12 = e2 & op(e0, e3) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4625) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) all_56_12 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4627) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) all_56_6 = e2 & op(e1, e3) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4628) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) all_56_6 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4582), (4629) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) e3 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4579), (4630) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) all_56_13 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (157), (206), (3633), (4442), (4626),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631), (function-axioms) are inconsistent by
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2153.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_56_7 = e2 & op(e1, e2) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4632) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) all_56_7 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4634) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) all_56_1 = e0 & op(e3, e2) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4635) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) all_56_1 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4637) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_56_0 = e0 & op(e3, e3) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4638) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) op(e3, e3) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (236), (3625), (4573), (4636), (4639),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1783.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) all_56_2 = e0 & op(e2, e3) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4640) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) all_56_2 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) all_56_15 = e0 & op(e0, e0) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4642) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_56_15 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3633), (4643) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) e3 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4568), (4644) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) all_56_10 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (4471), (4573), (4641),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) are inconsistent by sub-proof #3051.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4646) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4647) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) all_56_12 = e0 & op(e0, e3) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (4471),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4573), (4626), (4641), (4648) are inconsistent by
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1779.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4649) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) all_56_13 = e0 & op(e0, e2) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4650) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) all_56_13 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4579), (4651) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) e3 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4568), (4652) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) all_56_10 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (4471), (4573), (4641),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) are inconsistent by sub-proof #3051.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) all_56_14 = e0 & op(e0, e1) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4654) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) op(e0, e1) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4442), (4655), (function-axioms) are
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3458.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4656) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_56_6 = e0 & op(e1, e3) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4582), (4657) are inconsistent by sub-proof
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3290.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_56_12 = e0 & op(e0, e3) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4658) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) all_56_12 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4626), (4659) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) e2 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4633), (4660) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) all_56_7 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4471), (4660) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) all_56_3 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661), (4662) are inconsistent by sub-proof
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3252.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) all_56_3 = e0 & op(e2, e2) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (4663), (function-axioms) are
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (207),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (214), (215), (3633), (4442), (4445),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4579), (4582), (4664), (function-axioms) are
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1782.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (211),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4445), (4568), (4665), (function-axioms)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1772.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4666) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) all_56_7 = e3
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (168), (206), (207), (208), (210), (211),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (236), (376), (3625), (3633),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4443), (4445), (4568), (4667),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2514.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (376), (3633), (4568), (4668),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1771.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | (4669) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4669) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_56_8 = e3 & op(e1, e1) = e3
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (4670), (function-axioms) are
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | (4671) all_56_14 = e3 & op(e0, e1) = e3
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4671) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | (4672) all_56_14 = e3
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (4673) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (4466), (4476), (4673),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | #2702.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (4674) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (4672), (4674),
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | #1781.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | (4675) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (378), (3638), (4473), (4675) are
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.22 | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | (4676) all_24_2 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (4676) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | (4677) all_10_2 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (4677) imply:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | (4678) op(e3, e3) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | (4679) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4679) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | (4680) all_56_6 = e2 & op(e1, e3) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4680) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | (4681) all_56_6 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | (4682) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4682) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | (4683) all_56_9 = e2 & op(e3, e0) = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4683) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | (4684) all_56_9 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | (4685) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4685) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_56_0 = e0 & op(e3, e3) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4686) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (4687) op(e3, e3) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4678), (4687), (function-axioms) are
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (4688) all_56_1 = e0 & op(e3, e2) = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4688) implies:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | (4689) all_56_1 = e0
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4690) gives:
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) all_56_4 = e2 & op(e3, e1) = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4691) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) all_56_4 = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (4678), (4689), (4693),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2863.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4694) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) all_56_4 = e1 & op(e3, e1) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4692), (4695) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2862.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) all_56_9 = e1 & op(e3, e0) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4696) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) all_56_9 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4684), (4697) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3190.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) all_56_5 = e2 & op(e2, e1) = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4698) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_56_5 = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) op(e2, e1) = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (160), (164), (167), (168), (206), (207),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (214), (215), (216), (217),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (376), (3625),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (3636), (3638), (4442), (4443), (4445),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453), (4463), (4464), (4466), (4699), (4700),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1753.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4701) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) all_56_8 = e2 & op(e1, e1) = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4702) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) op(e1, e1) = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4445), (4703), (function-axioms) are
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) all_56_14 = e2 & op(e0, e1) = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4704) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) all_56_14 = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4706) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) all_56_6 = e3 & op(e1, e3) = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4707) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) all_56_6 = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4681), (4708) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3251.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4709) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) all_56_7 = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) op(e1, e2) = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (4678), (4689), (4712),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2863.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4713) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) all_56_4 = e1 & op(e3, e1) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4714) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) all_56_4 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4716) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) all_56_1 = e1 & op(e3, e2) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4717) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) all_56_1 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4689), (4718) imply:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) e1 = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4719) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) e1 = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4715), (4720) imply:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) all_56_4 = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (4453), (4710), (4721),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) all_56_3 = e1 & op(e2, e2) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4722) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) op(e2, e2) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4466), (4723), (function-axioms) are
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4724) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) all_56_7 = e1 & op(e1, e2) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4725) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) op(e1, e2) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4711), (4726), (function-axioms) are
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) all_56_13 = e1 & op(e0, e2) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4727) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) all_56_13 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) all_56_15 = e0 & op(e0, e0) = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (4710), (4729),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2561.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4730) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4731) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) all_56_12 = e0 & op(e0, e3) = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4733) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) all_56_12 = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4735) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) all_56_0 = e3 & op(e3, e3) = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4736) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) op(e3, e3) = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4732) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) all_56_9 = e0 & op(e3, e0) = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4738) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) all_56_9 = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4684), (4739) imply:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) e2 = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4471), (4740) imply:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) all_56_3 = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (207), (208),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (214), (215), (216), (218), (219), (220),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (235), (236), (3625),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4678), (4684), (4731), (4732), (4741),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1911.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4742) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) all_56_10 = e0 & op(e2, e0) = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4743) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) all_56_10 = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) op(e2, e0) = e0
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4746) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) all_56_0 = e1 & op(e3, e3) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4747) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) op(e3, e3) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4678), (4748), (function-axioms) are
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) all_56_2 = e1 & op(e2, e3) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4749) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) all_56_2 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) op(e2, e3) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4752) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753) all_56_2 = e3 & op(e2, e3) = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4750), (4753) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1751.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4754) all_56_3 = e3 & op(e2, e2) = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4754) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4755) op(e2, e2) = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4466), (4755), (function-axioms) are
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4756) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_56_5 = e3 & op(e2, e1) = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4757) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) all_56_5 = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) op(e2, e1) = e3
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4760) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3,
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4678), (4737) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) e3 = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4758), (4761) imply:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) all_56_5 = e2
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (4453),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705), (4762) are inconsistent by sub-proof
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2738.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) all_56_3 = e1 & op(e2, e2) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4763) implies:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) all_56_3 = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (223), (4745), (4751), (4759),
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764), (function-axioms) are inconsistent by
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2749.
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4765) gives:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) all_56_5 = e1 & op(e2, e1) = e1
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4766) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) all_56_5 = e1
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4758), (4767) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3223.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) all_56_10 = e1 & op(e2, e0) = e1
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4768) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) all_56_10 = e1
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4744), (4769) imply:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) e1 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (4471), (4750), (4758),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769), (4770) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3025.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) all_56_10 = e3 & op(e2, e0) = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4771) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) all_56_10 = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (168), (206), (207), (208), (210), (211),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (236), (376), (3625), (3633),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4443), (4445), (4710), (4732),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772), (function-axioms) are inconsistent by
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2515.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4773) gives:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) all_56_6 = e1 & op(e1, e3) = e1
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4774) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) all_56_6 = e1
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4681), (4775) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3242.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) all_56_12 = e1 & op(e0, e3) = e1
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4776) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) all_56_12 = e1
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4734), (4777) imply:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) e1 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4715), (4778) imply:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) all_56_4 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (4453), (4710), (4779),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) all_56_11 = e0 & op(e1, e0) = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4780) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) op(e1, e0) = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4443), (4781), (function-axioms) are
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4782) all_56_1 = e3 & op(e3, e2) = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4782) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) all_56_1 = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4689), (4783) imply:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) e3 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (4710), (4784),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2563.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3625), (4715), (4785),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2996.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4786) gives:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) all_56_13 = e0 & op(e0, e2) = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4787) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) all_56_13 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4728), (4788) imply:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) e1 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4715), (4789) imply:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) all_56_4 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (4453), (4710), (4790),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) all_56_14 = e0 & op(e0, e1) = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4791) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) op(e0, e1) = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4442), (4792), (function-axioms) are
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3458.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) all_56_9 = e1 & op(e3, e0) = e1
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4684), (4793) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2941.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471), (4794), (function-axioms) are inconsistent
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | (4795) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4795) gives:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4796) all_56_4 = e0 & op(e3, e1) = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4796) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4797) all_56_4 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4798) gives:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) all_56_6 = e3 & op(e1, e3) = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4799) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) all_56_6 = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4681), (4800) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3251.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4801) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) all_56_7 = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (4453), (4797), (4802),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (4471), (4803), (function-axioms) are inconsistent
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4804) all_56_9 = e0 & op(e3, e0) = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4804) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4805) all_56_9 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4684), (4805) imply:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4806) e2 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4471), (4806) imply:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4807) all_56_3 = e0
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (206), (207),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (214), (215), (216), (218), (219),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (236),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3633), (4678), (4684), (4807),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | #1910.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | (4808) all_56_10 = e2 & op(e2, e0) = e2
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4808) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | (4809) op(e2, e0) = e2
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4464), (4809), (function-axioms) are
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | (4810) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4810) gives:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | (4811) all_56_11 = e2 & op(e1, e0) = e2
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4811) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | (4812) all_56_11 = e2
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | (4813) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4813) gives:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4814) all_56_6 = e3 & op(e1, e3) = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4814) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4815) all_56_6 = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4681), (4815) are inconsistent by sub-proof
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | #3251.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4816) all_56_7 = e3 & op(e1, e2) = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4816) implies:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4817) op(e1, e2) = e3
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (214), (4453), (4681), (4812),
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4817), (function-axioms) are inconsistent by
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2083.
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | (4818) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.11/48.24 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | (4471), (4818), (function-axioms) are inconsistent
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | (4819) all_56_15 = e2 & op(e0, e0) = e2
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (4819) are inconsistent by sub-proof
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | (4820) all_56_7 = e2 & op(e1, e2) = e2
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4820) implies:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | (4821) all_56_7 = e2
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | (4822) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4822) gives:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | (4823) all_56_9 = e2 & op(e3, e0) = e2
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4823) implies:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | (4824) all_56_9 = e2
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | (4825) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4825) gives:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4826) all_56_1 = e3 & op(e3, e2) = e3
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4826) implies:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4827) all_56_1 = e3
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4828) gives:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) all_56_6 = e3 & op(e1, e3) = e3
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4829) implies:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) all_56_6 = e3
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4831) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4831) gives:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4832) all_56_6 = e1 & op(e1, e3) = e1
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4830), (4832) are inconsistent by sub-proof
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3293.
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4833) all_56_7 = e1 & op(e1, e2) = e1
% 245.39/48.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4821), (4833) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3089.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4834) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4834) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4835) all_56_8 = e1 & op(e1, e1) = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4453), (4835) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4836) all_56_11 = e1 & op(e1, e0) = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4836) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4837) all_56_11 = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4466), (4827), (4838),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1986.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4839) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4839) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4840) all_56_7 = e1 & op(e1, e2) = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4821), (4840) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3089.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) all_56_13 = e1 & op(e0, e2) = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4841) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) all_56_13 = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) all_56_15 = e0 & op(e0, e0) = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3633), (4843) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3280.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4844) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4847) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) all_56_1 = e0 & op(e3, e2) = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4827), (4848) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2622.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) all_56_3 = e0 & op(e2, e2) = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4849) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850) all_56_3 = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (207), (208),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (214), (215), (216), (218), (219), (220),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (235), (236), (3625),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4678), (4824), (4845), (4846), (4850),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1911.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4851) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4851) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4852) all_56_7 = e0 & op(e1, e2) = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4852) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853) all_56_7 = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (4445), (4830), (4837),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853), (function-axioms) are inconsistent by
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2848.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4854) all_56_13 = e0 & op(e0, e2) = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4842), (4854) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2760.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4855) all_56_7 = e3 & op(e1, e2) = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4855) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4856) all_56_7 = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4821), (4856) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3096.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (4857) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (4471), (4857), (function-axioms) are inconsistent
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4858) all_56_3 = e3 & op(e2, e2) = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4858) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4859) op(e2, e2) = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4466), (4859), (function-axioms) are
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | (4860) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4860) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4861) all_56_7 = e3 & op(e1, e2) = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4861) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4862) all_56_7 = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4821), (4862) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | #3096.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4863) all_56_13 = e3 & op(e0, e2) = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4863) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4864) all_56_13 = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (4865) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4865) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4866) all_56_6 = e3 & op(e1, e3) = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4866) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4867) all_56_6 = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4868) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4868) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869) all_56_1 = e1 & op(e3, e2) = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4869) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870) all_56_1 = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4871) all_56_15 = e0 & op(e0, e0) = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3633), (4871) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3280.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4872) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4872) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4874) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4875) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4875) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876) all_56_1 = e0 & op(e3, e2) = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4870), (4876) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3429.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4877) all_56_3 = e0 & op(e2, e2) = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4877) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4878) all_56_3 = e0
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (207), (208),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (214), (215), (216), (218), (219), (220),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (235), (236), (3625),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4678), (4824), (4873), (4874), (4878),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1911.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4879) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (207),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (214), (215), (3633), (4442), (4445),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4864), (4867), (4879), (function-axioms) are
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1782.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4880) all_56_3 = e1 & op(e2, e2) = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4880) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4881) op(e2, e2) = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4466), (4881), (function-axioms) are
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4882) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4882) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4883) all_56_7 = e1 & op(e1, e2) = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4821), (4883) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3089.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884) all_56_13 = e1 & op(e0, e2) = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4884) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4885) all_56_13 = e1
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4864), (4885) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2902.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) all_56_7 = e3 & op(e1, e2) = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4886) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) all_56_7 = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4821), (4887) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3096.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (4471), (4888), (function-axioms) are inconsistent
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | (4889) all_56_10 = e2 & op(e2, e0) = e2
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4889) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | (4890) op(e2, e0) = e2
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4464), (4890), (function-axioms) are
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | (4891) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4891) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | (4892) all_56_11 = e2 & op(e1, e0) = e2
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4892) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | (4893) all_56_11 = e2
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | (4894) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4894) gives:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4895) all_56_6 = e3 & op(e1, e3) = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4895) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4896) all_56_6 = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (214), (4453), (4821), (4893),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4896) are inconsistent by sub-proof #2247.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4897) all_56_7 = e3 & op(e1, e2) = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4897) implies:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | (4898) all_56_7 = e3
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4821), (4898) are inconsistent by sub-proof
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | | #3096.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | (4899) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | (4471), (4899), (function-axioms) are inconsistent
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.25 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | (4900) all_56_15 = e2 & op(e0, e0) = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (4900) are inconsistent by sub-proof
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | (4901) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4901) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | (4902) all_56_8 = e2 & op(e1, e1) = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4902) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | (4903) op(e1, e1) = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4445), (4903), (function-axioms) are
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | (4904) all_56_11 = e2 & op(e1, e0) = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4904) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | (4905) op(e1, e0) = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (4905) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | (4906) all_52_14 = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4906) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | (4907) ~ (all_52_2 = e2)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (4906) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | (4908) ~ (all_52_6 = e2)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | (4909) ~ (all_28_2 = e0)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4437), (4909) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | (4910) $false
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4910) is inconsistent.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | (4911) ( ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4911) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | (4912) ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0 &
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4912) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | (4913) ~ (all_28_0 = e3)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | (4914) op(e1, e0) = all_28_1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | (4915) op(e1, all_28_1) = all_28_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4435) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4916) ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0 &
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4916) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4917) op(e1, e0) = all_18_1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4918) op(e1, all_18_1) = all_18_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_28_1,
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (4905), (4914) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4919) all_28_1 = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (4914), (4917)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4920) all_28_1 = all_18_1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4919), (4920) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4921) all_18_1 = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4915), (4919) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4922) op(e1, e2) = all_28_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4918), (4921) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4923) op(e1, e2) = all_18_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e2, e1, simplifying with (162), (4923)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4924) all_52_6 = all_18_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | all_28_0, e2, e1, simplifying with (162), (4922)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4925) all_52_6 = all_28_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4924), (4925) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4926) all_28_0 = all_18_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4926) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4927) all_28_0 = all_18_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (4924) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4928) all_54_9 = all_18_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4924) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4929) ~ (all_52_2 = all_18_0)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4908), (4924) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4930) ~ (all_18_0 = e2)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4439), (4924) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4931) ~ (all_18_0 = e0)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4913), (4927) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4932) ~ (all_18_0 = e3)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | (4933) all_54_9 = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4928), (4932), (4933) are inconsistent by
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2856.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | (4934) ~ (all_54_9 = e3)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | (4935) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4935) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (4936) all_54_9 = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4928), (4930), (4936) are inconsistent by
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2855.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (4937) all_54_9 = e1 | all_54_9 = e0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4938) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4939) all_56_6 = e3 & op(e1, e3) = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4939) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4940) op(e1, e3) = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4937) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4941) all_54_9 = e1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4928), (4941) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4942) all_18_0 = e1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4942) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) all_18_0 = e1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4929), (4943) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) ~ (all_52_2 = e1)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (163), (164), (167), (168), (241), (3625),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (4442), (4445), (4463), (4464), (4466),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678), (4940), (4944), (function-axioms) are
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1750.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) all_54_9 = e0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4928), (4931), (4945) are inconsistent by
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2854.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) all_56_7 = e3 & op(e1, e2) = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4946) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) op(e1, e2) = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4923), (4928), (4931), (4932), (4937), (4947),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2853.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (221), (222), (223), (224), (376), (3633),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471), (4948), (function-axioms) are inconsistent
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2027.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4949) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4949) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4950) op(e1, e0) = all_18_1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_28_1,
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (4905), (4914) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4951) all_28_1 = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (4914), (4950)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4952) all_28_1 = all_18_1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4951), (4952) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4953) all_18_1 = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4915), (4951) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4954) op(e1, e2) = all_28_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | all_28_0, e2, e1, simplifying with (162), (4954)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4955) all_52_6 = all_28_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (4955) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4956) all_54_9 = all_28_0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4955) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4957) ~ (all_52_2 = all_28_0)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4908), (4955) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4958) ~ (all_28_0 = e2)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4439), (4955) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | (4959) ~ (all_28_0 = e0)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | (4960) all_54_9 = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4913), (4956), (4960) are inconsistent by
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2820.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | (4961) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4961) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) all_54_9 = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4956), (4958), (4962) are inconsistent by
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2823.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) all_54_9 = e1 | all_54_9 = e0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4963) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) all_54_9 = e1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4956), (4964) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) all_28_0 = e1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4965) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) all_28_0 = e1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4957), (4966) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) ~ (all_52_2 = e1)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968) all_54_8 = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (4968) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4969) all_52_2 = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4969) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4970) all_52_2 = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (4970) imply:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4971) op(e1, e3) = e3
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (163), (164), (167), (168), (241), (3625),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (4442), (4445), (4463), (4464), (4466),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678), (4967), (4971), (function-axioms) are
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1750.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4972) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (4438), (4907), (4967), (4972) are
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2399.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973) all_54_9 = e0
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4956), (4959), (4973) are inconsistent by
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2822.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | (4974) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4974) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | (4975) ~ (all_28_1 = e2)
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | (4976) op(e1, e0) = all_28_1
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4905), (4975), (4976), (function-axioms) are
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2817.
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | (4977) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 245.39/48.26 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 245.39/48.26 | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | BETA: splitting (4977) gives:
% 245.39/48.26 | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (4978) all_56_5 = e2 & op(e2, e1) = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | ALPHA: (4978) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (4979) all_56_5 = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (4980) op(e2, e1) = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (157), (160), (164), (167), (168), (206), (207),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (208), (210), (211), (214), (215), (216), (217),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (376), (3625),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (3633), (3636), (3638), (4442), (4443), (4445),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (4453), (4463), (4464), (4466), (4979), (4980),
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.39/48.26 | | | | | | | | | | | | | | | | | | #1753.
% 245.39/48.26 | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (4981) all_56_10 = e2 & op(e2, e0) = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | ALPHA: (4981) implies:
% 245.39/48.26 | | | | | | | | | | | | | | | | | | (4982) op(e2, e0) = e2
% 245.39/48.26 | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4464), (4982), (function-axioms) are
% 245.39/48.26 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 245.39/48.26 | | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | (4983) all_54_5 = e1 | all_54_5 = e0
% 245.39/48.26 | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3636), (4455), (4983) are inconsistent by
% 245.39/48.26 | | | | | | | | | | | | | | | | sub-proof #3433.
% 245.39/48.26 | | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | End of split
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | Case 2:
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | (4984) all_22_2 = e1
% 245.39/48.26 | | | | | | | | | | | | | | (4985) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 245.39/48.26 | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 245.39/48.26 | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 245.39/48.26 | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | COMBINE_EQS: (326), (4984) imply:
% 245.39/48.26 | | | | | | | | | | | | | | (4986) all_8_2 = e1
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | SIMP: (4986) implies:
% 245.39/48.26 | | | | | | | | | | | | | | (4987) all_8_2 = e1
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | COMBINE_EQS: (313), (4987) imply:
% 245.39/48.26 | | | | | | | | | | | | | | (4988) all_30_2 = e1
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | REDUCE: (351), (4987) imply:
% 245.39/48.26 | | | | | | | | | | | | | | (4989) ~ (all_52_1 = e1)
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | REDUCE: (356), (4987) imply:
% 245.39/48.26 | | | | | | | | | | | | | | (4990) ~ (all_52_6 = e1)
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | REDUCE: (360), (4987) imply:
% 245.39/48.26 | | | | | | | | | | | | | | (4991) ~ (all_52_9 = e1)
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | REDUCE: (362), (4987) imply:
% 245.39/48.26 | | | | | | | | | | | | | | (4992) ~ (all_52_13 = e1)
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | REDUCE: (377), (4987) imply:
% 245.39/48.26 | | | | | | | | | | | | | | (4993) ~ (e3 = e1)
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | REDUCE: (42), (4987) imply:
% 245.39/48.26 | | | | | | | | | | | | | | (4994) op(e2, e2) = e1
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 245.39/48.26 | | | | | | | | | | | | | |
% 245.39/48.26 | | | | | | | | | | | | | | Case 1:
% 245.39/48.26 | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | (4995) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 245.39/48.27 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.39/48.27 | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | BETA: splitting (4995) gives:
% 245.39/48.27 | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | (4996) all_56_1 = e1 & op(e3, e2) = e1
% 245.39/48.27 | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | ALPHA: (4996) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | (4997) all_56_1 = e1
% 245.39/48.27 | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | (4998) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 245.39/48.27 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 245.39/48.27 | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | BETA: splitting (4998) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | (4999) all_56_2 = e1 & op(e2, e3) = e1
% 245.39/48.27 | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | ALPHA: (4999) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | (5000) all_56_2 = e1
% 245.39/48.27 | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | (5001) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (5001) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | (5002) all_56_0 = e0 & op(e3, e3) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (3638), (5002), (function-axioms) are
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2781.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | (5003) all_56_2 = e0 & op(e2, e3) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5000), (5003) are inconsistent by sub-proof
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | #3011.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | (5004) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (5004) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | (5005) all_56_6 = e0 & op(e1, e3) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (5005) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | (5006) all_56_6 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | (5007) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5007) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5008) all_56_6 = e3 & op(e1, e3) = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5008) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5009) all_56_6 = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5006), (5009) are inconsistent by sub-proof
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | #3162.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5010) all_56_7 = e3 & op(e1, e2) = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5010) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5011) all_56_7 = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (162), (214), (215), (4445),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (4453), (4990), (5006), (5011), (function-axioms)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2935.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | (5012) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | (211), (376), (3633), (5012), (function-axioms)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2899.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | (5013) all_56_12 = e0 & op(e0, e3) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (5013) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | (5014) all_56_12 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | (5015) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5015) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5016) all_56_12 = e1 & op(e0, e3) = e1
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5016) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5017) all_56_12 = e1
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5014), (5017) are inconsistent by sub-proof
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | #3312.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5018) all_56_13 = e1 & op(e0, e2) = e1
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5018) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5019) all_56_13 = e1
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (157), (168), (206), (207), (208), (210), (211),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (236), (376), (3625),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (3633), (3636), (3638), (4442), (4445), (4994),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5019), (function-axioms) are inconsistent by
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2566.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | (5020) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5020) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5021) all_56_14 = e1 & op(e0, e1) = e1
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5021) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | (5022) all_56_14 = e1
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | (5023) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5023) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | (5024) all_56_12 = e2 & op(e0, e3) = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5024) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | (5025) all_56_12 = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5014), (5025) are inconsistent by sub-proof
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | #3279.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | (5026) all_56_13 = e2 & op(e0, e2) = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5026) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | (5027) all_56_13 = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5028) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4994), (4997), (5028), (function-axioms) are
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3430.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5029) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5029) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (5030) all_56_7 = e3 & op(e1, e2) = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5030) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (5031) all_56_7 = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5032) all_56_15 = e0 & op(e0, e0) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (5031), (5032),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2561.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5033) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5033) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5034) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5035) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4994), (5000), (5035), (function-axioms) are
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3398.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5036) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5036) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5037) all_56_5 = e3 & op(e2, e1) = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5037) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5038) all_56_5 = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5039) op(e2, e1) = e3
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5040) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5040) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5041) all_56_4 = e2 & op(e3, e1) = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5041) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5042) all_56_4 = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5043) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5043) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5044) all_56_2 = e0 & op(e2, e3) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5000), (5044) are inconsistent by sub-proof
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3011.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5045) all_56_3 = e0 & op(e2, e2) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (5045), (function-axioms) are
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5046) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5046) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5047) all_56_5 = e0 & op(e2, e1) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5047) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5048) all_56_5 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5038), (5048) imply:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5049) e3 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5031), (5049) imply:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5050) all_56_7 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (5050), (function-axioms)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2567.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051) all_56_10 = e0 & op(e2, e0) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5051) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5052) all_56_10 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5053) op(e2, e0) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5054) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5054) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5055) all_56_1 = e0 & op(e3, e2) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5055) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5056) all_56_1 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4997), (5056) imply:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5057) e1 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5000), (5057) imply:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5058) all_56_2 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (5038),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5039), (5052), (5053), (5058), (function-axioms)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3050.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5059) all_56_3 = e0 & op(e2, e2) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5059) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5060) all_56_3 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5052), (5060) are inconsistent by sub-proof
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3038.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5061) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5061) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5062) all_56_7 = e0 & op(e1, e2) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5062) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063) all_56_7 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (5063), (function-axioms)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2567.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5064) all_56_13 = e0 & op(e0, e2) = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5064) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5065) all_56_13 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5027), (5065) imply:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5066) e2 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5066) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5067) e2 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5042), (5067) imply:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5068) all_56_4 = e0
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (208), (218), (219),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (4445), (5014), (5038), (5039), (5068),
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2564.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5069) all_56_5 = e2 & op(e2, e1) = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5069) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5070) op(e2, e1) = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5039), (5070), (function-axioms) are
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3382.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5071) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5071) gives:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5072) all_56_8 = e2 & op(e1, e1) = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5072) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5073) op(e1, e1) = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4445), (5073), (function-axioms) are
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5074) all_56_14 = e2 & op(e0, e1) = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5074) implies:
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5075) all_56_14 = e2
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 245.39/48.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5022), (5075) imply:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5076) e2 = e1
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5076) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077) e2 = e1
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5027), (5077) imply:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5078) all_56_13 = e1
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (168), (206), (207), (208), (210), (211),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (236), (376), (3625),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (3636), (3638), (4442), (4445), (4994),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5078), (function-axioms) are inconsistent by
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2566.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079) all_56_10 = e3 & op(e2, e0) = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5079) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5080) all_56_10 = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (168), (206), (207), (208), (210), (211),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (236), (376), (3625), (3633),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4443), (4445), (5031), (5034),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5080), (function-axioms) are inconsistent by
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2515.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (5081) all_56_13 = e3 & op(e0, e2) = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5081) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (5082) all_56_13 = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5027), (5082) are inconsistent by sub-proof
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | | #3266.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | (5083) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3633), (5022), (5083) are inconsistent
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3307.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | (5084) all_56_15 = e1 & op(e0, e0) = e1
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (5084) are inconsistent by sub-proof
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | #3276.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (5085) all_56_3 = e1 & op(e2, e2) = e1
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (67), (73), (76), (79), (117), (118), (120),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (121), (123), (134), (136), (141), (143), (144),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (159), (160),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (170), (190), (192), (196), (197), (198), (200),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (202), (204), (206), (207), (208), (210), (211),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (235), (236), (238), (239), (241), (250), (252),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (262), (263), (264), (272), (274), (282), (316),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (323), (340), (342), (344), (346), (348), (350),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (376), (378), (3622), (3624), (3625), (3626),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (3633), (3634), (3636), (3638), (4435), (4437),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (4438), (4440), (4441), (4442), (4443), (4445),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (4453), (4985), (4988), (4989), (4990), (4991),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (4992), (5085), (function-axioms) are inconsistent
% 250.51/49.02 | | | | | | | | | | | | | | | | | | by sub-proof #1709.
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | (5086) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 250.51/49.02 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 250.51/49.02 | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | BETA: splitting (5086) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (5087) all_56_5 = e1 & op(e2, e1) = e1
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | ALPHA: (5087) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (5088) all_56_5 = e1
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | (5089) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (5089) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5090) all_56_4 = e3 & op(e3, e1) = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (5090) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5091) all_56_4 = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (157), (160), (162), (168), (206), (207), (208),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (210), (211), (214), (215), (216), (217), (218),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (225), (226),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (376), (3625), (3633),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (3636), (3638), (4442), (4443), (4445), (4453),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (4990), (4994), (4997), (5088), (5091),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | #1707.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5092) all_56_5 = e3 & op(e2, e1) = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (5092) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5093) all_56_5 = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5088), (5093) are inconsistent by sub-proof
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | #3223.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | (5094) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (5094) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5095) all_56_8 = e3 & op(e1, e1) = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (5095), (function-axioms) are
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5096) all_56_14 = e3 & op(e0, e1) = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (5096) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5097) all_56_14 = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | (5098) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4994), (4997), (5098), (function-axioms) are
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3430.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | (5099) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (5097), (5099),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | #1781.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (5100) all_56_10 = e1 & op(e2, e0) = e1
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | ALPHA: (5100) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | (5101) all_56_10 = e1
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | (5102) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (5102) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5103) all_56_1 = e0 & op(e3, e2) = e0
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4997), (5103) are inconsistent by sub-proof
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | #3429.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5104) all_56_3 = e0 & op(e2, e2) = e0
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (5104), (function-axioms) are
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | (5105) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (5105) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5106) all_56_7 = e0 & op(e1, e2) = e0
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (5106) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5107) all_56_7 = e0
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (5107), (function-axioms)
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2567.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5108) all_56_13 = e0 & op(e0, e2) = e0
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (5108) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | (5109) all_56_13 = e0
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | (5110) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4994), (4997), (5110), (function-axioms) are
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3430.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | (5111) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5111) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | (5112) all_56_7 = e3 & op(e1, e2) = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5112) implies:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | (5113) all_56_7 = e3
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | (5114) all_56_15 = e0 & op(e0, e0) = e0
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (5113), (5114),
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | #2561.
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | (5115) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5115) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | (5116) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | (5117) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5117) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | (5118) all_56_9 = e0 & op(e3, e0) = e0
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5118) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | (5119) all_56_9 = e0
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | (5120) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5120) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5121) all_56_2 = e0 & op(e2, e3) = e0
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5121) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5122) all_56_2 = e0
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5123) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (5101), (5119), (5123) are inconsistent
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2614.
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5124) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5124) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125) all_56_11 = e2 & op(e1, e0) = e2
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5125) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5126) all_56_11 = e2
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5127) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5127) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5128) all_56_6 = e1 & op(e1, e3) = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5128) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5129) all_56_6 = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5130) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5130) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131) all_56_2 = e2 & op(e2, e3) = e2
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5131) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132) all_56_2 = e2
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5122), (5132) imply:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133) e2 = e0
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5133) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5134) e2 = e0
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5126), (5134) imply:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) all_56_11 = e0
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (211), (3633), (5101), (5119),
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) are inconsistent by sub-proof #2613.
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5136) all_56_3 = e2 & op(e2, e2) = e2
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5136) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137) op(e2, e2) = e2
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4994), (5137), (function-axioms) are
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5138) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5138) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5139) all_56_5 = e2 & op(e2, e1) = e2
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5139) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5140) all_56_5 = e2
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) op(e2, e1) = e2
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5142) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) all_56_4 = e3 & op(e3, e1) = e3
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5143) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) all_56_4 = e3
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5145) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5146) all_56_4 = e1 & op(e3, e1) = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5146) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5147) all_56_4 = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5144), (5147) are inconsistent by sub-proof
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3228.
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5148) all_56_5 = e1 & op(e2, e1) = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5148) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5149) all_56_5 = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (160), (162), (168), (206), (207), (208),
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (214), (215), (216), (217), (218),
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (225), (226),
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (376), (3625), (3633),
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636), (3638), (4442), (4443), (4445), (4453),
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990), (4994), (4997), (5144), (5149),
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1707.
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5150) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5150) gives:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5151) all_56_8 = e1 & op(e1, e1) = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5151) implies:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5152) all_56_8 = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4453), (5152) imply:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5153) e1 = e0
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5129), (5153) imply:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5154) all_56_6 = e0
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (162), (214), (215), (4445),
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453), (4990), (5113), (5154), (function-axioms)
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2935.
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155) all_56_14 = e1 & op(e0, e1) = e1
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 250.51/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5155) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5156) all_56_14 = e1
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5157) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5157) gives:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5158) all_56_1 = e2 & op(e3, e2) = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5158) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5159) all_56_1 = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4997), (5159) imply:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5160) e2 = e1
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5160) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5161) e2 = e1
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5140), (5161) imply:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5162) all_56_5 = e1
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (160), (162), (168), (206), (207), (208),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (214), (215), (216), (217), (218),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (225), (226),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (376), (3625), (3633),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636), (3638), (4442), (4443), (4445), (4453),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990), (4994), (4997), (5144), (5162),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1707.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5163) all_56_3 = e2 & op(e2, e2) = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5163) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5164) op(e2, e2) = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4994), (5164), (function-axioms) are
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5165) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5165) gives:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5166) all_56_7 = e2 & op(e1, e2) = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5166) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5167) all_56_7 = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5113), (5167) are inconsistent by sub-proof
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3096.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168) all_56_13 = e2 & op(e0, e2) = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5168) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169) all_56_13 = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5109), (5169) imply:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5170) e2 = e0
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5140), (5170) imply:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171) all_56_5 = e0
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (4445), (5144), (5156),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171), (function-axioms) are inconsistent by
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2543.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172) all_56_5 = e3 & op(e2, e1) = e3
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5172) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5173) op(e2, e1) = e3
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5141), (5173), (function-axioms) are
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3382.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5174) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (207),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (376), (3633), (4442), (5116), (5174),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1789.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5175) all_56_10 = e2 & op(e2, e0) = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5101), (5175) are inconsistent by sub-proof
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2632.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5176) all_56_7 = e1 & op(e1, e2) = e1
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5176) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5177) op(e1, e2) = e1
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4990), (5177), (function-axioms) are
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3411.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5178) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5178) gives:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179) all_56_8 = e1 & op(e1, e1) = e1
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4453), (5179) are inconsistent by sub-proof
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5180) all_56_11 = e1 & op(e1, e0) = e1
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5126), (5180) are inconsistent by sub-proof
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3117.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5181) all_56_15 = e2 & op(e0, e0) = e2
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (5181) are inconsistent by sub-proof
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5182) all_56_3 = e0 & op(e2, e2) = e0
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5182) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) all_56_3 = e0
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (4997), (5109), (5113),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) are inconsistent by sub-proof #1968.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | (5184) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5184) gives:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5185) all_56_5 = e0 & op(e2, e1) = e0
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5185) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5186) all_56_5 = e0
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (3625), (3633),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (4442), (4445), (4453), (5113), (5116),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5186), (function-axioms) are inconsistent by
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1788.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5187) all_56_10 = e0 & op(e2, e0) = e0
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5101), (5187) are inconsistent by sub-proof
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | | #2350.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | (5188) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (4443), (5101), (5188),
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | | #2076.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | (5189) all_56_13 = e3 & op(e0, e2) = e3
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5189) implies:
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | (5190) all_56_13 = e3
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5109), (5190) are inconsistent by sub-proof
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | | #2846.
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | End of split
% 251.06/49.03 | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | Case 2:
% 251.06/49.03 | | | | | | | | | | | | | | | |
% 251.06/49.03 | | | | | | | | | | | | | | | | (5191) all_56_3 = e1 & op(e2, e2) = e1
% 251.06/49.03 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 251.06/49.04 | | | | | | | | | | | | | | | | (67), (73), (76), (79), (117), (118), (120),
% 251.06/49.04 | | | | | | | | | | | | | | | | (121), (123), (134), (136), (141), (143), (144),
% 251.06/49.04 | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (159), (160),
% 251.06/49.04 | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.06/49.04 | | | | | | | | | | | | | | | | (170), (190), (192), (196), (197), (198), (200),
% 251.06/49.04 | | | | | | | | | | | | | | | | (202), (204), (206), (207), (208), (210), (211),
% 251.06/49.04 | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 251.06/49.04 | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 251.06/49.04 | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 251.06/49.04 | | | | | | | | | | | | | | | | (235), (236), (238), (239), (241), (250), (252),
% 251.06/49.04 | | | | | | | | | | | | | | | | (262), (263), (264), (272), (274), (282), (316),
% 251.06/49.04 | | | | | | | | | | | | | | | | (323), (340), (342), (344), (346), (348), (350),
% 251.06/49.04 | | | | | | | | | | | | | | | | (376), (378), (3622), (3624), (3625), (3626),
% 251.06/49.04 | | | | | | | | | | | | | | | | (3633), (3634), (3636), (3638), (4435), (4437),
% 251.06/49.04 | | | | | | | | | | | | | | | | (4438), (4440), (4441), (4442), (4443), (4445),
% 251.06/49.04 | | | | | | | | | | | | | | | | (4453), (4985), (4988), (4989), (4990), (4991),
% 251.06/49.04 | | | | | | | | | | | | | | | | (4992), (5191), (function-axioms) are inconsistent
% 251.06/49.04 | | | | | | | | | | | | | | | | by sub-proof #1709.
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | End of split
% 251.06/49.04 | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | (5192) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 251.06/49.04 | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.06/49.04 | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | BETA: splitting (5192) gives:
% 251.06/49.04 | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | (5193) all_56_7 = e1 & op(e1, e2) = e1
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | ALPHA: (5193) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | (5194) op(e1, e2) = e1
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4990), (5194), (function-axioms) are
% 251.06/49.04 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3411.
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | (5195) all_56_13 = e1 & op(e0, e2) = e1
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | ALPHA: (5195) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | (5196) all_56_13 = e1
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (45),
% 251.06/49.04 | | | | | | | | | | | | | | | | (157), (168), (206), (207), (208), (210), (211),
% 251.06/49.04 | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 251.06/49.04 | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 251.06/49.04 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (236), (376), (3625),
% 251.06/49.04 | | | | | | | | | | | | | | | | (3633), (3636), (3638), (4442), (4445), (4994),
% 251.06/49.04 | | | | | | | | | | | | | | | | (5196), (function-axioms) are inconsistent by
% 251.06/49.04 | | | | | | | | | | | | | | | | sub-proof #2566.
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | End of split
% 251.06/49.04 | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | End of split
% 251.06/49.04 | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | End of split
% 251.06/49.04 | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | (5197) all_56_11 = e0 & op(e1, e0) = e0
% 251.06/49.04 | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | ALPHA: (5197) implies:
% 251.06/49.04 | | | | | | | | | | | | | (5198) op(e1, e0) = e0
% 251.06/49.04 | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | REF_CLOSE: (160), (4443), (5198), (function-axioms) are
% 251.06/49.04 | | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 251.06/49.04 | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | End of split
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | End of split
% 251.06/49.04 | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | End of split
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | (5199) all_16_2 = e0
% 251.06/49.04 | | | | | | | | | | (5200) ( ~ (all_16_0 = e2) & op(e3, all_16_1) = all_16_0
% 251.06/49.04 | | | | | | | | | | & op(e3, e0) = all_16_1 & $i(all_16_0) &
% 251.06/49.04 | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e1) & op(e3, e0)
% 251.06/49.04 | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | COMBINE_EQS: (331), (5199) imply:
% 251.06/49.04 | | | | | | | | | | (5201) all_10_2 = e0
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | SIMP: (5201) implies:
% 251.06/49.04 | | | | | | | | | | (5202) all_10_2 = e0
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | COMBINE_EQS: (284), (5202) imply:
% 251.06/49.04 | | | | | | | | | | (5203) all_50_2 = e0
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | REDUCE: (340), (5202) imply:
% 251.06/49.04 | | | | | | | | | | (5204) ~ (all_52_1 = e0)
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | REDUCE: (342), (5202) imply:
% 251.06/49.04 | | | | | | | | | | (5205) ~ (all_52_2 = e0)
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | REDUCE: (344), (5202) imply:
% 251.06/49.04 | | | | | | | | | | (5206) ~ (all_52_3 = e0)
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | REDUCE: (346), (5202) imply:
% 251.06/49.04 | | | | | | | | | | (5207) ~ (all_52_4 = e0)
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | REDUCE: (348), (5202) imply:
% 251.06/49.04 | | | | | | | | | | (5208) ~ (all_52_8 = e0)
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | REDUCE: (350), (5202) imply:
% 251.06/49.04 | | | | | | | | | | (5209) ~ (all_52_12 = e0)
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | REDUCE: (378), (5202) imply:
% 251.06/49.04 | | | | | | | | | | (5210) ~ (e1 = e0)
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | REDUCE: (45), (5202) imply:
% 251.06/49.04 | | | | | | | | | | (5211) op(e3, e3) = e0
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | BETA: splitting (230) gives:
% 251.06/49.04 | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | (5212) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 251.06/49.04 | | | | | | | | | | | & op(e3, e2) = e0)
% 251.06/49.04 | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | BETA: splitting (5212) gives:
% 251.06/49.04 | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | (5213) all_56_0 = e0 & op(e3, e3) = e0
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | ALPHA: (5213) implies:
% 251.06/49.04 | | | | | | | | | | | | (5214) all_56_0 = e0
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.04 | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.04 | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.04 | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.04 | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.04 | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.04 | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.04 | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.04 | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.04 | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.04 | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.04 | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.04 | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.04 | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.04 | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.04 | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.04 | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.04 | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.04 | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.04 | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.04 | | | | | | | | | | | | (5208), (5209), (5211), (5214), (function-axioms)
% 251.06/49.04 | | | | | | | | | | | | are inconsistent by sub-proof #1271.
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | (5215) all_56_1 = e0 & op(e3, e2) = e0
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | ALPHA: (5215) implies:
% 251.06/49.04 | | | | | | | | | | | | (5216) all_56_1 = e0
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.04 | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.04 | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.04 | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.04 | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.04 | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.04 | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.04 | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.04 | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.04 | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.04 | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.04 | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.04 | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.04 | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.04 | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.04 | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.04 | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.04 | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.04 | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.04 | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.04 | | | | | | | | | | | | (5208), (5209), (5211), (5216), (function-axioms)
% 251.06/49.04 | | | | | | | | | | | | are inconsistent by sub-proof #1260.
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | End of split
% 251.06/49.04 | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | (5217) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 251.06/49.04 | | | | | | | | | | | & op(e3, e0) = e0)
% 251.06/49.04 | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | BETA: splitting (5217) gives:
% 251.06/49.04 | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | (5218) all_56_4 = e0 & op(e3, e1) = e0
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | ALPHA: (5218) implies:
% 251.06/49.04 | | | | | | | | | | | | (5219) all_56_4 = e0
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.06/49.04 | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | (5220) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.06/49.04 | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.06/49.04 | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | BETA: splitting (5220) gives:
% 251.06/49.04 | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | (5221) all_56_4 = e3 & op(e3, e1) = e3
% 251.06/49.04 | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | ALPHA: (5221) implies:
% 251.06/49.04 | | | | | | | | | | | | | | (5222) all_56_4 = e3
% 251.06/49.04 | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | REF_CLOSE: (7), (5219), (5222) are inconsistent by sub-proof
% 251.06/49.04 | | | | | | | | | | | | | | #3175.
% 251.06/49.04 | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | (5223) all_56_5 = e3 & op(e2, e1) = e3
% 251.06/49.04 | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | ALPHA: (5223) implies:
% 251.06/49.04 | | | | | | | | | | | | | | (5224) all_56_5 = e3
% 251.06/49.04 | | | | | | | | | | | | | | (5225) op(e2, e1) = e3
% 251.06/49.04 | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.06/49.04 | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | (5226) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.06/49.04 | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.06/49.04 | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | BETA: splitting (5226) gives:
% 251.06/49.04 | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | (5227) all_56_0 = e3 & op(e3, e3) = e3
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | ALPHA: (5227) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | (5228) op(e3, e3) = e3
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5211), (5228), (function-axioms) are
% 251.06/49.04 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3246.
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | (5229) all_56_1 = e3 & op(e3, e2) = e3
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | ALPHA: (5229) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | (5230) all_56_1 = e3
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 251.06/49.04 | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | (5231) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 251.06/49.04 | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 251.06/49.04 | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | BETA: splitting (5231) gives:
% 251.06/49.04 | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | (5232) all_56_0 = e1 & op(e3, e3) = e1
% 251.06/49.04 | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | ALPHA: (5232) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | (5233) all_56_0 = e1
% 251.06/49.04 | | | | | | | | | | | | | | | | | | (5234) op(e3, e3) = e1
% 251.06/49.04 | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 251.06/49.04 | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | (5235) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 251.06/49.04 | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (5235) gives:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | (5236) all_56_2 = e0 & op(e2, e3) = e0
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | ALPHA: (5236) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | (5237) all_56_2 = e0
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | (5238) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5238) gives:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (5239) all_56_0 = e3 & op(e3, e3) = e3
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5239) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (5240) op(e3, e3) = e3
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5234), (5240), (function-axioms) are
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (5241) all_56_2 = e3 & op(e2, e3) = e3
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5241) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (5242) all_56_2 = e3
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5237), (5242) imply:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (5243) e3 = e0
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5230), (5243) imply:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (5244) all_56_1 = e0
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (5208), (5209), (5211), (5242), (5244),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | #1262.
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | (5245) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5245) gives:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (5246) all_56_6 = e3 & op(e1, e3) = e3
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5246) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | (5247) all_56_6 = e3
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | (5248) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (5234), (5237), (5248),
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | #1259.
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | (5249) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5249) gives:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | (5250) all_56_6 = e2 & op(e1, e3) = e2
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5250) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | (5251) all_56_6 = e2
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5247), (5251) are inconsistent by sub-proof
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | #3251.
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | (5252) all_56_12 = e2 & op(e0, e3) = e2
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5252) implies:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | (5253) all_56_12 = e2
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | (5254) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5230), (5234), (5254),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | #2620.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | (5255) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5255) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5256) all_56_4 = e2 & op(e3, e1) = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5256) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5257) all_56_4 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5219), (5257) imply:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5258) e2 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5258) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5259) e2 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5253), (5259) imply:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5260) all_56_12 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (5234), (5237), (5247),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5260), (function-axioms) are inconsistent by
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1776.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5261) all_56_9 = e2 & op(e3, e0) = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5261) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5262) all_56_9 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e3,
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (5211), (5234) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5263) e1 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5233), (5263) imply:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5264) all_56_0 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (168), (232), (236), (3625),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5211), (5219), (5262), (5264), (function-axioms)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2591.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | (5265) all_56_12 = e3 & op(e0, e3) = e3
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5265) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | (5266) all_56_12 = e3
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | (5267) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (5234), (5237), (5267),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | #1259.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | (5268) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5268) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | (5269) all_56_6 = e2 & op(e1, e3) = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5269) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | (5270) all_56_6 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | (5271) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5230), (5234), (5271),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | #2620.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | (5272) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5272) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5273) all_56_4 = e2 & op(e3, e1) = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5273) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5274) all_56_4 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5219), (5274) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #3208.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5275) all_56_9 = e2 & op(e3, e0) = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5275) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5276) all_56_9 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5277) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5277) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5278) all_56_6 = e3 & op(e1, e3) = e3
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5270), (5278) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2241.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5279) all_56_7 = e3 & op(e1, e2) = e3
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5279) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5280) all_56_7 = e3
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5281) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5281) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282) all_56_1 = e0 & op(e3, e2) = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5282) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5283) all_56_1 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208), (5209), (5211), (5237), (5283),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1263.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5284) all_56_3 = e0 & op(e2, e2) = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5284) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5285) all_56_3 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (5230),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5280), (5285) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2147.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5286) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5286) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5287) all_56_7 = e0 & op(e1, e2) = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5287) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5288) all_56_7 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5280), (5288) imply:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5289) e3 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208), (5209), (5211), (5230), (5237), (5289),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1258.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5290) all_56_13 = e0 & op(e0, e2) = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5290) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5291) all_56_13 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5292) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5293) all_56_12 = e2 & op(e0, e3) = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5266), (5293) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3241.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5294) all_56_13 = e2 & op(e0, e2) = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5291), (5294) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2893.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5295) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5295) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5296) all_56_14 = e2 & op(e0, e1) = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5296) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5297) all_56_14 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5298) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5299) all_56_12 = e1 & op(e0, e3) = e1
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5299) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300) all_56_12 = e1
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (5211),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237), (5300), (function-axioms) are inconsistent
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3235.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5301) all_56_13 = e1 & op(e0, e2) = e1
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5301) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5302) all_56_13 = e1
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5291), (5302) imply:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303) e1 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5233), (5303) imply:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304) all_56_0 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (168), (232), (236), (3625),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211), (5219), (5276), (5304), (function-axioms)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2591.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5305) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5305) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5306) all_56_14 = e1 & op(e0, e1) = e1
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5306) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5307) all_56_14 = e1
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5297), (5307) imply:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5308) e2 = e1
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5308) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5309) e2 = e1
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5270), (5309) imply:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) all_56_6 = e1
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (5211),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237), (5310), (function-axioms) are inconsistent
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3239.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) all_56_15 = e1 & op(e0, e0) = e1
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (168), (236), (3625), (3633), (5211),
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219), (5230), (5311), (function-axioms) are
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1257.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) all_56_15 = e2 & op(e0, e0) = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5312) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) all_56_15 = e2
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (5313) are inconsistent by sub-proof
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3191.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5314) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) all_56_8 = e3 & op(e1, e1) = e3
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (5315), (function-axioms) are
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) all_56_11 = e3 & op(e1, e0) = e3
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5316) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) all_56_11 = e3
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) all_56_15 = e0 & op(e0, e0) = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5318) implies:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) all_56_15 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3633), (5319) imply:
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) e3 = e0
% 251.06/49.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208), (5209), (5211), (5230), (5237), (5320),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1258.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5321) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5322) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) all_56_9 = e0 & op(e3, e0) = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5209), (5323), (function-axioms) are
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5324) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) all_56_10 = e0 & op(e2, e0) = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5325) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) all_56_10 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (210), (3633), (5276), (5317),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) are inconsistent by sub-proof #3186.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) all_56_11 = e0 & op(e1, e0) = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5327) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) all_56_11 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5317), (5328) imply:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) e3 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5230), (5329) imply:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) all_56_1 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208), (5209), (5211), (5237), (5330),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1263.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5331) all_56_12 = e2 & op(e0, e3) = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5331) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5332) all_56_12 = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5266), (5332) are inconsistent by sub-proof
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | #3003.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | (5333) all_56_3 = e0 & op(e2, e2) = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (3636), (5333), (function-axioms) are
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | (5334) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (5334) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | (5335) all_56_5 = e0 & op(e2, e1) = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | (219), (236), (3625), (5211), (5224), (5230),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | (5335), (function-axioms) are inconsistent by
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | sub-proof #1447.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | (5336) all_56_10 = e0 & op(e2, e0) = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | ALPHA: (5336) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | (5337) all_56_10 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | (5338) op(e2, e0) = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | (5339) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5230), (5234), (5339),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | #2620.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | (5340) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5340) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | (5341) all_56_4 = e2 & op(e3, e1) = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5219), (5341) are inconsistent by sub-proof
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | #3173.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | (5342) all_56_9 = e2 & op(e3, e0) = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5342) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | (5343) all_56_9 = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | (5344) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5344) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5345) all_56_9 = e1 & op(e3, e0) = e1
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5345) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5346) all_56_9 = e1
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (5211), (5219), (5230),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5346), (function-axioms) are inconsistent by
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1256.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5347) all_56_10 = e1 & op(e2, e0) = e1
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5347) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5348) all_56_10 = e1
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5337), (5348) imply:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5349) e1 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5233), (5349) imply:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5350) all_56_0 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (168), (232), (236), (3625),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5211), (5219), (5343), (5350), (function-axioms)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2591.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | (5351) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5351) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5352) all_56_11 = e1 & op(e1, e0) = e1
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5352) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | (5353) all_56_11 = e1
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | (5354) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5354) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) all_56_0 = e0 & op(e3, e3) = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5355) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) all_56_0 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (168), (232), (236), (3625),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5211), (5219), (5343), (5356), (function-axioms)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2591.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) all_56_2 = e0 & op(e2, e3) = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5357) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) all_56_2 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (5224),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5225), (5337), (5338), (5358), (function-axioms)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3050.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | (5359) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5359) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) all_56_6 = e0 & op(e1, e3) = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5360) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) all_56_6 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5362) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_56_6 = e3 & op(e1, e3) = e3
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5363) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364) all_56_6 = e3
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5361), (5364) imply:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365) e3 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5230), (5365) imply:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5366) all_56_1 = e0
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208), (5209), (5211), (5361), (5366),
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1261.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367) all_56_7 = e3 & op(e1, e2) = e3
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5367) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368) all_56_7 = e3
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5369) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5369) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5370) all_56_6 = e2 & op(e1, e3) = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5361), (5370) are inconsistent by sub-proof
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2711.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) all_56_7 = e2 & op(e1, e2) = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5371) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) all_56_7 = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5368), (5372) are inconsistent by sub-proof
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3096.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5373) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) all_56_8 = e2 & op(e1, e1) = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5374) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) all_56_8 = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) op(e1, e1) = e2
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5377) gives:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) all_56_0 = e3 & op(e3, e3) = e3
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5378) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) op(e3, e3) = e3
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5234), (5379), (function-axioms) are
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) all_56_2 = e3 & op(e2, e3) = e3
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5380) implies:
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) all_56_2 = e3
% 251.06/49.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5382) gives:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) all_56_2 = e1 & op(e2, e3) = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5383) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) all_56_2 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5381), (5384) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) e3 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5385) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) e3 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5230), (5386) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) all_56_1 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (168), (236), (3625), (5211), (5219),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387), (function-axioms) are inconsistent by
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2592.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) all_56_3 = e1 & op(e2, e2) = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5388) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) all_56_3 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5390) gives:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) all_56_2 = e2 & op(e2, e3) = e2
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5391) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) all_56_2 = e2
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5381), (5392) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) e3 = e2
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5393) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) e3 = e2
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5368), (5394) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) all_56_7 = e2
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (214), (216),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (5361), (5376), (5395), (function-axioms)
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3090.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) all_56_3 = e2 & op(e2, e2) = e2
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5396) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) all_56_3 = e2
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5389), (5397) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) e2 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5398) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) e2 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5343), (5399) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_56_9 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (5211), (5219), (5230),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400), (function-axioms) are inconsistent by
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1256.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5225), (5338), (5401),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3380.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5402) gives:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) all_56_5 = e1 & op(e2, e1) = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5403) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) all_56_5 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5224), (5404) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) e3 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5230), (5405) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) all_56_1 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (168), (236), (3625), (5211), (5219),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406), (function-axioms) are inconsistent by
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2592.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) all_56_10 = e1 & op(e2, e0) = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5407) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) all_56_10 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5337), (5408) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) e1 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5409) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) e1 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5233), (5410) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) all_56_0 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (168), (232), (236), (3625),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211), (5219), (5343), (5411), (function-axioms)
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2591.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5412) gives:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) all_56_6 = e3 & op(e1, e3) = e3
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5413) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) all_56_6 = e3
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5361), (5414) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) e3 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5415) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) e3 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5230), (5416) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) all_56_1 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208), (5209), (5211), (5361), (5417),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1261.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) all_56_12 = e3 & op(e0, e3) = e3
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5418) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) all_56_12 = e3
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (207),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (218), (219), (3633), (5206), (5219),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224), (5225), (5375), (5376), (5419),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1392.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) all_56_11 = e2 & op(e1, e0) = e2
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5420) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) all_56_11 = e2
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5353), (5421) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5422) e2 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5422) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5423) e2 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5343), (5423) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5424) all_56_9 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (5211), (5219), (5230),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5424), (function-axioms) are inconsistent by
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1256.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5425) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (210), (211),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3633), (5337), (5425), (function-axioms)
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1795.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5426) all_56_12 = e0 & op(e0, e3) = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5426) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5427) op(e0, e3) = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5206), (5427), (function-axioms) are
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3461.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | (5428) all_56_15 = e1 & op(e0, e0) = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (168), (236), (3625), (3633), (5211),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | (5219), (5230), (5428), (function-axioms) are
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1257.
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5429) all_56_1 = e1 & op(e3, e2) = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | ALPHA: (5429) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5430) all_56_1 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (168), (236), (3625), (5211), (5219),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5430), (function-axioms) are inconsistent by
% 251.06/49.07 | | | | | | | | | | | | | | | | | | sub-proof #2592.
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | (5431) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | BETA: splitting (5431) gives:
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5432) all_56_4 = e1 & op(e3, e1) = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | ALPHA: (5432) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5433) all_56_4 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5219), (5433) are inconsistent by sub-proof
% 251.06/49.07 | | | | | | | | | | | | | | | | | | #3332.
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5434) all_56_9 = e1 & op(e3, e0) = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | ALPHA: (5434) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5435) all_56_9 = e1
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (5211), (5219), (5230),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5435), (function-axioms) are inconsistent by
% 251.06/49.07 | | | | | | | | | | | | | | | | | | sub-proof #1256.
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | (5436) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.06/49.07 | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.06/49.07 | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 251.06/49.07 | | | | | | | | | | | | | | | (219), (3625), (5224), (5436), (function-axioms)
% 251.06/49.07 | | | | | | | | | | | | | | | are inconsistent by sub-proof #2961.
% 251.06/49.07 | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | End of split
% 251.06/49.07 | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | (5437) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.06/49.07 | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.06/49.07 | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | BETA: splitting (5437) gives:
% 251.06/49.07 | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | (5438) all_56_8 = e3 & op(e1, e1) = e3
% 251.06/49.07 | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (5438), (function-axioms) are
% 251.06/49.07 | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 251.06/49.07 | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | (5439) all_56_14 = e3 & op(e0, e1) = e3
% 251.06/49.07 | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | ALPHA: (5439) implies:
% 251.06/49.07 | | | | | | | | | | | | | | (5440) all_56_14 = e3
% 251.06/49.07 | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.06/49.07 | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | (5441) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.06/49.07 | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.06/49.07 | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | BETA: splitting (5441) gives:
% 251.06/49.07 | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | (5442) all_56_0 = e3 & op(e3, e3) = e3
% 251.06/49.07 | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | ALPHA: (5442) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | (5443) op(e3, e3) = e3
% 251.06/49.07 | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5211), (5443), (function-axioms) are
% 251.06/49.07 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3246.
% 251.06/49.07 | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | (5444) all_56_1 = e3 & op(e3, e2) = e3
% 251.06/49.07 | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | ALPHA: (5444) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | (5445) all_56_1 = e3
% 251.06/49.07 | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.06/49.07 | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | (5446) all_56_15 = e0 & op(e0, e0) = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | ALPHA: (5446) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | (5447) all_56_15 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (3633), (5447) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | (5448) e3 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | SIMP: (5448) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | (5449) e3 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (5445), (5449) imply:
% 251.06/49.07 | | | | | | | | | | | | | | | | | (5450) all_56_1 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.07 | | | | | | | | | | | | | | | | | (5208), (5209), (5211), (5450), (function-axioms)
% 251.06/49.07 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1260.
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | (5451) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.06/49.07 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.06/49.07 | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.06/49.07 | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.06/49.07 | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | ALPHA: (5451) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | (5452) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 251.06/49.07 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 251.06/49.07 | | | | | | | | | | | | | | | | | e1) = e0)
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | BETA: splitting (5452) gives:
% 251.06/49.07 | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5453) all_56_12 = e0 & op(e0, e3) = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | ALPHA: (5453) implies:
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5454) all_56_12 = e0
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (207), (208), (3633),
% 251.06/49.07 | | | | | | | | | | | | | | | | | | (5440), (5454) are inconsistent by sub-proof
% 251.06/49.07 | | | | | | | | | | | | | | | | | | #3273.
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.07 | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.07 | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | (5455) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 251.06/49.08 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 251.06/49.08 | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | BETA: splitting (5455) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (5456) all_56_13 = e0 & op(e0, e2) = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | ALPHA: (5456) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (5457) all_56_13 = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (3633), (5440), (5452), (5457) are inconsistent by
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | sub-proof #2891.
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (5458) all_56_14 = e0 & op(e0, e1) = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | ALPHA: (5458) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (5459) all_56_14 = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5440), (5459) imply:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (5460) e3 = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5445), (5460) imply:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (5461) all_56_1 = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (58),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (64), (70), (85), (106), (110), (113), (117),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (192),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (200), (202), (203), (206), (207), (208), (210),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (217), (218),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (241),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (250), (251), (252), (253), (261), (262), (263),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (264), (271), (272), (274), (275), (306), (326),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (328), (338), (351), (352), (354), (356), (360),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (362), (363), (365), (366), (368), (370), (376),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (377), (3618), (3621), (3622), (3623), (3624),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (3636),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (5200), (5203), (5204), (5205), (5206), (5207),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (5208), (5209), (5211), (5461), (function-axioms)
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1260.
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | (5462) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.06/49.08 | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (3625), (5219), (5462),
% 251.06/49.08 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.08 | | | | | | | | | | | | | | | #2593.
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | (5463) all_56_9 = e0 & op(e3, e0) = e0
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | REF_CLOSE: (168), (5209), (5463), (function-axioms) are
% 251.06/49.08 | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | (5464) all_14_2 = e0
% 251.06/49.08 | | | | | | | | | (5465) ( ~ (all_14_0 = e3) & op(e2, all_14_1) = all_14_0 &
% 251.06/49.08 | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 251.06/49.08 | | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e1) & op(e2, e0) =
% 251.06/49.08 | | | | | | | | | all_14_1 & $i(all_14_1))
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | COMBINE_EQS: (333), (5464) imply:
% 251.06/49.08 | | | | | | | | | (5466) all_8_2 = e0
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | COMBINE_EQS: (295), (5466) imply:
% 251.06/49.08 | | | | | | | | | (5467) all_48_2 = e0
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | REDUCE: (351), (5466) imply:
% 251.06/49.08 | | | | | | | | | (5468) ~ (all_52_1 = e0)
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | REDUCE: (354), (5466) imply:
% 251.06/49.08 | | | | | | | | | (5469) ~ (all_52_4 = e0)
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | REDUCE: (356), (5466) imply:
% 251.06/49.08 | | | | | | | | | (5470) ~ (all_52_6 = e0)
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | REDUCE: (358), (5466) imply:
% 251.06/49.08 | | | | | | | | | (5471) ~ (all_52_7 = e0)
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | REDUCE: (360), (5466) imply:
% 251.06/49.08 | | | | | | | | | (5472) ~ (all_52_9 = e0)
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | REDUCE: (362), (5466) imply:
% 251.06/49.08 | | | | | | | | | (5473) ~ (all_52_13 = e0)
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | REDUCE: (377), (5466) imply:
% 251.06/49.08 | | | | | | | | | (5474) ~ (e3 = e0)
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | REDUCE: (42), (5466) imply:
% 251.06/49.08 | | | | | | | | | (5475) op(e2, e2) = e0
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | BETA: splitting (225) gives:
% 251.06/49.08 | | | | | | | | |
% 251.06/49.08 | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | (5476) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 251.06/49.08 | | | | | | | | | | & op(e2, e2) = e0)
% 251.06/49.08 | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | BETA: splitting (5476) gives:
% 251.06/49.08 | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | (5477) all_56_1 = e0 & op(e3, e2) = e0
% 251.06/49.08 | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | ALPHA: (5477) implies:
% 251.06/49.08 | | | | | | | | | | | (5478) all_56_1 = e0
% 251.06/49.08 | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | BETA: splitting (228) gives:
% 251.06/49.08 | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | (5479) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.06/49.08 | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | BETA: splitting (5479) gives:
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | (5480) all_56_1 = e3 & op(e3, e2) = e3
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | REF_CLOSE: (7), (5478), (5480) are inconsistent by sub-proof
% 251.06/49.08 | | | | | | | | | | | | | #3351.
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | (5481) all_56_3 = e3 & op(e2, e2) = e3
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | ALPHA: (5481) implies:
% 251.06/49.08 | | | | | | | | | | | | | (5482) all_56_3 = e3
% 251.06/49.08 | | | | | | | | | | | | | (5483) op(e2, e2) = e3
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e2,
% 251.06/49.08 | | | | | | | | | | | | | e2, simplifying with (5475), (5483) gives:
% 251.06/49.08 | | | | | | | | | | | | | (5484) e3 = e0
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | COMBINE_EQS: (5482), (5484) imply:
% 251.06/49.08 | | | | | | | | | | | | | (5485) all_56_3 = e0
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.06/49.08 | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.06/49.08 | | | | | | | | | | | | | (5478), (5485), (function-axioms) are inconsistent
% 251.06/49.08 | | | | | | | | | | | | | by sub-proof #2914.
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | (5486) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.06/49.08 | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | BETA: splitting (5486) gives:
% 251.06/49.08 | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | (5487) all_56_7 = e3 & op(e1, e2) = e3
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | ALPHA: (5487) implies:
% 251.06/49.08 | | | | | | | | | | | | | (5488) all_56_7 = e3
% 251.06/49.08 | | | | | | | | | | | | | (5489) op(e1, e2) = e3
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (5475),
% 251.06/49.08 | | | | | | | | | | | | | (5478), (5488), (5489), (function-axioms) are
% 251.06/49.08 | | | | | | | | | | | | | inconsistent by sub-proof #1608.
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | (5490) all_56_13 = e3 & op(e0, e2) = e3
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | ALPHA: (5490) implies:
% 251.06/49.08 | | | | | | | | | | | | | (5491) all_56_13 = e3
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | BETA: splitting (226) gives:
% 251.06/49.08 | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | (5492) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 251.06/49.08 | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 251.06/49.08 | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | BETA: splitting (5492) gives:
% 251.06/49.08 | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | (5493) all_56_1 = e1 & op(e3, e2) = e1
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5478), (5493) are inconsistent by sub-proof
% 251.06/49.08 | | | | | | | | | | | | | | | #3350.
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | (5494) all_56_3 = e1 & op(e2, e2) = e1
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | ALPHA: (5494) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | (5495) all_56_3 = e1
% 251.06/49.08 | | | | | | | | | | | | | | | (5496) op(e2, e2) = e1
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 251.06/49.08 | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | (5497) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.06/49.08 | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | BETA: splitting (5497) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | (5498) all_56_1 = e2 & op(e3, e2) = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5478), (5498) are inconsistent by sub-proof
% 251.06/49.08 | | | | | | | | | | | | | | | | | #3347.
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | (5499) all_56_3 = e2 & op(e2, e2) = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | ALPHA: (5499) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | (5500) all_56_3 = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5495), (5500) are inconsistent by sub-proof
% 251.06/49.08 | | | | | | | | | | | | | | | | | #3384.
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | (5501) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 251.06/49.08 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.06/49.08 | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | BETA: splitting (5501) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | (5502) all_56_7 = e2 & op(e1, e2) = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | ALPHA: (5502) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | (5503) all_56_7 = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | (5504) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 251.06/49.08 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 251.06/49.08 | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | BETA: splitting (5504) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (5505) all_56_6 = e3 & op(e1, e3) = e3
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | ALPHA: (5505) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | (5506) all_56_6 = e3
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | (5507) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5507) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | (5508) all_56_2 = e0 & op(e2, e3) = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5508) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | (5509) all_56_2 = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | (5510) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5510) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | (5511) all_56_2 = e3 & op(e2, e3) = e3
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (229), (231), (233),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | (3633), (5471), (5478), (5491), (5495), (5506),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | (5511), (function-axioms) are inconsistent by
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1250.
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | (5512) all_56_3 = e3 & op(e2, e2) = e3
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5495), (5512) are inconsistent by sub-proof
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | #1249.
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | (5513) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | (5514) all_56_5 = e3 & op(e2, e1) = e3
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5514) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | (5515) all_56_5 = e3
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | (5516) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5516) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5517) all_56_0 = e1 & op(e3, e3) = e1
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5517) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5518) op(e3, e3) = e1
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (236), (3625), (5478), (5515), (5518),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | #2605.
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5519) all_56_2 = e1 & op(e2, e3) = e1
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5519) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5520) all_56_2 = e1
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5509), (5520) imply:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5521) e1 = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5521) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5522) e1 = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5495), (5522) imply:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5523) all_56_3 = e0
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (5509),
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5515), (5523) are inconsistent by sub-proof
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | #3388.
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | (5524) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5524) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5525) all_56_6 = e1 & op(e1, e3) = e1
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5525) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5526) all_56_6 = e1
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5506), (5526) are inconsistent by sub-proof
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | #3244.
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5527) all_56_12 = e1 & op(e0, e3) = e1
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5527) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5528) all_56_12 = e1
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (5529) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5491), (5528), (5529) are inconsistent
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2531.
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (5530) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5530) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5531) all_56_14 = e2 & op(e0, e1) = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5531) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5532) all_56_14 = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5533) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5533) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5534) all_56_0 = e2 & op(e3, e3) = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5534) implies:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5535) all_56_0 = e2
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5536) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5536) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5537) all_56_0 = e3 & op(e3, e3) = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5535), (5537) are inconsistent by sub-proof
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3297.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5538) all_56_1 = e3 & op(e3, e2) = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5538) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5539) all_56_1 = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5478), (5539) imply:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5540) e3 = e0
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5540) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5541) e3 = e0
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5515), (5541) imply:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5542) all_56_5 = e0
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3625), (3633), (5471), (5475), (5478),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491), (5495), (5496), (5503), (5506), (5542),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1167.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5543) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (3625), (5515), (5543), (function-axioms)
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2961.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5544) all_56_2 = e2 & op(e2, e3) = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5544) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5545) all_56_2 = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5509), (5545) imply:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5546) e2 = e0
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5546) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547) e2 = e0
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5503), (5547) imply:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548) all_56_7 = e0
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (226),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (3633), (5471), (5491), (5495),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5528), (5532), (5548), (function-axioms) are
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1207.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5549) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5506), (5528), (5549) are inconsistent
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1403.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5550) all_56_15 = e2 & op(e0, e0) = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (5550) are inconsistent by sub-proof
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | (5551) all_56_10 = e3 & op(e2, e0) = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5551) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | (5552) all_56_10 = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | (5553) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5553) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (5554) all_56_2 = e2 & op(e2, e3) = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5554) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (5555) all_56_2 = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5509), (5555) imply:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (5556) e2 = e0
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (376),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3633), (5471), (5475), (5491), (5495),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (5496), (5503), (5556), (function-axioms) are
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1185.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (5557) all_56_3 = e2 & op(e2, e2) = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3625), (3633), (5471), (5475), (5478),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (5491), (5495), (5503), (5506), (5557),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | #1172.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | (5558) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5558) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (5559) all_56_5 = e2 & op(e2, e1) = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5559) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (5560) all_56_5 = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | (5561) op(e2, e1) = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (5562) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5562) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5563) all_56_0 = e1 & op(e3, e3) = e1
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5563) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5564) all_56_0 = e1
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5565) op(e3, e3) = e1
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5566) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5566) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5567) all_56_0 = e3 & op(e3, e3) = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5567) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5568) op(e3, e3) = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5565), (5568), (function-axioms) are
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5569) all_56_1 = e3 & op(e3, e2) = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5569) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570) all_56_1 = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (220), (230), (232),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (376), (3633), (5471), (5552), (5561),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570), (function-axioms) are inconsistent by
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1226.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5571) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5571) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5572) all_56_4 = e3 & op(e3, e1) = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5572) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5573) all_56_4 = e3
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5574) gives:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5575) all_56_0 = e2 & op(e3, e3) = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5575) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5576) op(e3, e3) = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5565), (5576), (function-axioms) are
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5577) all_56_2 = e2 & op(e2, e3) = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5577) implies:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5578) all_56_2 = e2
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (376),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3633), (5471), (5475), (5478), (5491),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495), (5496), (5503), (5506), (5564), (5565),
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5578), (function-axioms) are inconsistent by
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1183.
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.06/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5579) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5579) gives:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5580) all_56_6 = e2 & op(e1, e3) = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5580) implies:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5581) all_56_6 = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5506), (5581) are inconsistent by sub-proof
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3251.
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5582) all_56_12 = e2 & op(e0, e3) = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5582) implies:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5583) all_56_12 = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5584) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5584) gives:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5585) all_56_0 = e2 & op(e3, e3) = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5585) implies:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5586) op(e3, e3) = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5565), (5586), (function-axioms) are
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5587) all_56_1 = e2 & op(e3, e2) = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5587) implies:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5588) all_56_1 = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5478), (5588) imply:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5589) e2 = e0
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3625), (3633), (5471), (5475), (5478),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491), (5495), (5496), (5503), (5506), (5552),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5560), (5573), (5589), (function-axioms) are
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1166.
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5590) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5590) gives:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5591) all_56_4 = e2 & op(e3, e1) = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5573), (5591) are inconsistent by sub-proof
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3230.
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592) all_56_9 = e2 & op(e3, e0) = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5592) implies:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5593) all_56_9 = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5594) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5594) gives:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5595) all_56_12 = e1 & op(e0, e3) = e1
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5595) implies:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5596) all_56_12 = e1
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5583), (5596) imply:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5597) e2 = e1
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5597) implies:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5598) e2 = e1
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5593), (5598) imply:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5599) all_56_9 = e1
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5600) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5600) gives:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5601) all_56_0 = e2 & op(e3, e3) = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5601) implies:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602) op(e3, e3) = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5565), (5602), (function-axioms) are
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5603) all_56_1 = e2 & op(e3, e2) = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5603) implies:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5604) all_56_1 = e2
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5478), (5604) imply:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5605) e2 = e0
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5605) implies:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5606) e2 = e0
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5560), (5606) imply:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607) all_56_5 = e0
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3625), (3633), (5471), (5475), (5478),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491), (5495), (5496), (5503), (5506), (5552),
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5573), (5599), (5607), (function-axioms) are
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1170.
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5573), (5590), (5599) are inconsistent
% 251.18/49.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1438.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5608) all_56_13 = e1 & op(e0, e2) = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5608) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5609) all_56_13 = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5491), (5609) are inconsistent by sub-proof
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2902.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5610) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5610) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5611) all_56_14 = e1 & op(e0, e1) = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5611) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5612) all_56_14 = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5613) all_56_15 = e0 & op(e0, e0) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3633), (5613) are inconsistent by sub-proof
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3197.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5614) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5614) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5615) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5615) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5616) all_56_12 = e0 & op(e0, e3) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5616) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5617) all_56_12 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (5506), (5509), (5565),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5617), (function-axioms) are inconsistent by
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1776.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5618) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5618) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5619) all_56_13 = e0 & op(e0, e2) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5619) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5620) op(e0, e2) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5471), (5620), (function-axioms) are
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5621) all_56_14 = e0 & op(e0, e1) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5621) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5622) all_56_14 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5612), (5622) imply:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5623) e1 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5623) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5624) e1 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5495), (5624) imply:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5625) all_56_3 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5478), (5491), (5622), (5625), (function-axioms)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1165.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5626) all_56_15 = e1 & op(e0, e0) = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5626) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5627) all_56_15 = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (5627) are inconsistent by sub-proof
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3193.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5628) all_56_9 = e3 & op(e3, e0) = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5628) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) op(e3, e0) = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3625), (5629), (function-axioms) are
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) all_56_2 = e1 & op(e2, e3) = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5630) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) all_56_2 = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5509), (5631) imply:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) e1 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5632) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) e1 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5495), (5633) imply:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) all_56_3 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509), (5552), (5634) are inconsistent by
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3368.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5635) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) all_56_6 = e1 & op(e1, e3) = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5636) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) all_56_6 = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5506), (5637) are inconsistent by sub-proof
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3244.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) all_56_12 = e1 & op(e0, e3) = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5638) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5639) all_56_12 = e1
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5491), (5639), (5640) are inconsistent
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2531.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5641) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) all_56_14 = e2 & op(e0, e1) = e2
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5642) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) all_56_14 = e2
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5644) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) all_56_0 = e2 & op(e3, e3) = e2
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5645) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) all_56_0 = e2
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5647) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5647) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648) all_56_0 = e3 & op(e3, e3) = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5646), (5648) are inconsistent by sub-proof
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3297.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649) all_56_1 = e3 & op(e3, e2) = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5649) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650) all_56_1 = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (220), (230), (232),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (376), (3633), (5471), (5552), (5561),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650), (function-axioms) are inconsistent by
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1226.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5651) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5651) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5652) all_56_4 = e3 & op(e3, e1) = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5652) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5653) all_56_4 = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654) all_56_15 = e0 & op(e0, e0) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3633), (5654) are inconsistent by sub-proof
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3197.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5655) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5655) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5656) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5656) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) all_56_12 = e0 & op(e0, e3) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5657) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) all_56_12 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5639), (5658) imply:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) e1 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5495), (5659) imply:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) all_56_3 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509), (5552), (5660) are inconsistent by
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3368.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5661) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) all_56_13 = e0 & op(e0, e2) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5662) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) op(e0, e2) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5471), (5663), (function-axioms) are
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) all_56_14 = e0 & op(e0, e1) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5664) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) all_56_14 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5643), (5665) imply:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) e2 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3625), (3633), (5471), (5475), (5478),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491), (5495), (5496), (5503), (5506), (5552),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5560), (5653), (5666), (function-axioms) are
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1166.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) all_56_9 = e3 & op(e3, e0) = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5667) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) op(e3, e0) = e3
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3625), (5668), (function-axioms) are
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) all_56_2 = e2 & op(e2, e3) = e2
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5669) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) all_56_2 = e2
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5509), (5670) imply:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) e2 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5671) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) e2 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5560), (5672) imply:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) all_56_5 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3625), (3633), (5471), (5475), (5478),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491), (5495), (5496), (5503), (5506), (5552),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673), (function-axioms) are inconsistent by
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1168.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5506), (5639), (5674) are inconsistent
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1403.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) all_56_15 = e2 & op(e0, e0) = e2
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (5675) are inconsistent by sub-proof
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5676) all_56_10 = e2 & op(e2, e0) = e2
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5676) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5677) all_56_10 = e2
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5552), (5677) are inconsistent by sub-proof
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | | #3371.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | (5678) all_56_3 = e0 & op(e2, e2) = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5678) implies:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | (5679) all_56_3 = e0
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | (5478), (5491), (5679), (function-axioms) are
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2915.
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | (5680) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5680) gives:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.10 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5681) all_56_5 = e0 & op(e2, e1) = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5681) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5682) all_56_5 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (376), (3625), (3633), (5471), (5475), (5478),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5491), (5495), (5496), (5503), (5506), (5682),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | #1167.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5683) all_56_10 = e0 & op(e2, e0) = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5475), (5495), (5496), (5683), (function-axioms)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1225.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | (5684) all_56_7 = e3 & op(e1, e2) = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5503), (5684) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | #3086.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | (5685) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 251.18/49.11 | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | BETA: splitting (5685) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | (5686) all_56_8 = e3 & op(e1, e1) = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (5686), (function-axioms) are
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | (5687) all_56_11 = e3 & op(e1, e0) = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | ALPHA: (5687) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | (5688) all_56_11 = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | (5689) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5689) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5690) all_56_2 = e0 & op(e2, e3) = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5690) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5691) all_56_2 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | (5692) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5692) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | (5693) all_56_2 = e3 & op(e2, e3) = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5693) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | (5694) all_56_2 = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5691), (5694) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | #3374.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | (5695) all_56_3 = e3 & op(e2, e2) = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5695) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | (5696) all_56_3 = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (211),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (3633), (5688), (5696) are
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | (5697) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5697) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | (5698) all_56_5 = e3 & op(e2, e1) = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5698) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | (5699) all_56_5 = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (5700) all_56_15 = e0 & op(e0, e0) = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5700) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (5701) all_56_15 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3633), (5701) imply:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (5702) e3 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5699), (5702) imply:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (5703) all_56_5 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (376),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3633), (5471), (5475), (5491), (5495),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (5496), (5503), (5688), (5703), (function-axioms)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1162.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (5704) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5704) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | (5705) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5705) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5706) all_56_9 = e0 & op(e3, e0) = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5706) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5707) all_56_9 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5708) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5708) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5709) all_56_9 = e1 & op(e3, e0) = e1
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (5495),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5691), (5699), (5707), (5709) are inconsistent by
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1223.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5710) all_56_10 = e1 & op(e2, e0) = e1
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5710) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5711) all_56_10 = e1
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5712) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5713) all_56_9 = e2 & op(e3, e0) = e2
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (376),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3633), (5471), (5475), (5491), (5495),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5496), (5503), (5707), (5713), (function-axioms)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1164.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5714) all_56_10 = e2 & op(e2, e0) = e2
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5711), (5714) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2632.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5715) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716) all_56_11 = e2 & op(e1, e0) = e2
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5688), (5716) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3215.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717) all_56_15 = e2 & op(e0, e0) = e2
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (5717) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5718) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (5688), (5718) are inconsistent by
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1222.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5719) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5719) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5720) all_56_10 = e0 & op(e2, e0) = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5720) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5721) all_56_10 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (210), (211), (3633),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5688), (5721) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | #3182.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) all_56_11 = e0 & op(e1, e0) = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5722) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5723) all_56_11 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5688), (5723) imply:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5724) e3 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5724) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5725) e3 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5699), (5725) imply:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5726) all_56_5 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (376),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3633), (5471), (5475), (5491), (5495),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5496), (5503), (5688), (5705), (5726),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | | #1163.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | (5727) all_56_10 = e3 & op(e2, e0) = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5727) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | (5728) all_56_10 = e3
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (211),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | (3633), (5688), (5728) are inconsistent by
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2036.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5729) all_56_3 = e0 & op(e2, e2) = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5729) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5730) all_56_3 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5478), (5491), (5730), (function-axioms) are
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2915.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | (5731) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5731) gives:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5732) all_56_5 = e0 & op(e2, e1) = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5732) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5733) all_56_5 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (376),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (3625), (3633), (5471), (5475), (5491), (5495),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5496), (5503), (5688), (5733), (function-axioms)
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1162.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5734) all_56_10 = e0 & op(e2, e0) = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5734) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5735) all_56_10 = e0
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (210), (211), (3633),
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | (5688), (5735) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | | #3182.
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | (5736) all_56_13 = e2 & op(e0, e2) = e2
% 251.18/49.11 | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | ALPHA: (5736) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | | | (5737) all_56_13 = e2
% 251.18/49.11 | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5491), (5737) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | | | #3266.
% 251.18/49.11 | | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | (5738) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 251.18/49.11 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.18/49.11 | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | BETA: splitting (5738) gives:
% 251.18/49.11 | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | (5739) all_56_7 = e1 & op(e1, e2) = e1
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | ALPHA: (5739) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | (5740) all_56_7 = e1
% 251.18/49.11 | | | | | | | | | | | | | | | (5741) op(e1, e2) = e1
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.18/49.11 | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.11 | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 251.18/49.11 | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 251.18/49.11 | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 251.18/49.11 | | | | | | | | | | | | | | | (376), (3625), (3633), (5471), (5475), (5478),
% 251.18/49.11 | | | | | | | | | | | | | | | (5491), (5740), (5741), (function-axioms) are
% 251.18/49.11 | | | | | | | | | | | | | | | inconsistent by sub-proof #1171.
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | (5742) all_56_13 = e1 & op(e0, e2) = e1
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | REF_CLOSE: (8), (5491), (5742) are inconsistent by sub-proof
% 251.18/49.11 | | | | | | | | | | | | | | | #3339.
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | End of split
% 251.18/49.11 | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | Case 2:
% 251.18/49.11 | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | (5743) all_56_3 = e0 & op(e2, e2) = e0
% 251.18/49.11 | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | ALPHA: (5743) implies:
% 251.18/49.11 | | | | | | | | | | | (5744) all_56_3 = e0
% 251.18/49.11 | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | BETA: splitting (55) gives:
% 251.18/49.11 | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | (5745) ~ (all_16_2 = e0)
% 251.18/49.11 | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | REDUCE: (331), (5745) imply:
% 251.18/49.11 | | | | | | | | | | | | (5746) ~ (all_10_2 = e0)
% 251.18/49.11 | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | BETA: splitting (58) gives:
% 251.18/49.11 | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | (5747) ~ (all_18_2 = e0)
% 251.18/49.11 | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | REDUCE: (328), (5747) imply:
% 251.18/49.11 | | | | | | | | | | | | | (5748) ~ (all_6_2 = e0)
% 251.18/49.11 | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 251.18/49.11 | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | (5749) ~ (all_24_2 = e2)
% 251.18/49.11 | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | REDUCE: (323), (5749) imply:
% 251.18/49.11 | | | | | | | | | | | | | | (5750) ~ (all_10_2 = e2)
% 251.18/49.11 | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 251.18/49.11 | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | Case 1:
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | (5751) all_54_0 = e3
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | COMBINE_EQS: (282), (5751) imply:
% 251.18/49.11 | | | | | | | | | | | | | | | (5752) all_10_2 = e3
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | SIMP: (5752) implies:
% 251.18/49.11 | | | | | | | | | | | | | | | (5753) all_10_2 = e3
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | REDUCE: (348), (5753) imply:
% 251.18/49.11 | | | | | | | | | | | | | | | (5754) ~ (all_52_8 = e3)
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.11 | | | | | | | | | | | | | | | REDUCE: (45), (5753) imply:
% 251.18/49.11 | | | | | | | | | | | | | | | (5755) op(e3, e3) = e3
% 251.18/49.11 | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (91),
% 251.18/49.12 | | | | | | | | | | | | | | | (110), (112), (113), (117), (120), (123), (126),
% 251.18/49.12 | | | | | | | | | | | | | | | (133), (134), (136), (141), (143), (145), (146),
% 251.18/49.12 | | | | | | | | | | | | | | | (149), (158), (160), (162), (163), (165), (167),
% 251.18/49.12 | | | | | | | | | | | | | | | (168), (169), (170), (193), (194), (196), (197),
% 251.18/49.12 | | | | | | | | | | | | | | | (200), (201), (202), (203), (206), (207), (208),
% 251.18/49.12 | | | | | | | | | | | | | | | (210), (211), (213), (214), (215), (216), (217),
% 251.18/49.12 | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.18/49.12 | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 251.18/49.12 | | | | | | | | | | | | | | | (234), (235), (236), (241), (253), (262), (263),
% 251.18/49.12 | | | | | | | | | | | | | | | (272), (273), (274), (275), (306), (336), (338),
% 251.18/49.12 | | | | | | | | | | | | | | | (352), (366), (370), (376), (3625), (3633),
% 251.18/49.12 | | | | | | | | | | | | | | | (3634), (5468), (5469), (5471), (5472), (5475),
% 251.18/49.12 | | | | | | | | | | | | | | | (5744), (5748), (5754), (5755), (function-axioms)
% 251.18/49.12 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1122.
% 251.18/49.12 | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | (5756) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 251.18/49.12 | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | REF_CLOSE: (282), (378), (5746), (5750), (5756) are
% 251.18/49.12 | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 251.18/49.12 | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | End of split
% 251.18/49.12 | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | (5757) all_24_2 = e2
% 251.18/49.12 | | | | | | | | | | | | | | (5758) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 251.18/49.12 | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 251.18/49.12 | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 251.18/49.12 | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 251.18/49.12 | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | COMBINE_EQS: (323), (5757) imply:
% 251.18/49.12 | | | | | | | | | | | | | | (5759) all_10_2 = e2
% 251.18/49.12 | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | SIMP: (5759) implies:
% 251.18/49.12 | | | | | | | | | | | | | | (5760) all_10_2 = e2
% 251.18/49.12 | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | COMBINE_EQS: (316), (5760) imply:
% 251.18/49.12 | | | | | | | | | | | | | | (5761) all_32_2 = e2
% 251.18/49.12 | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | REDUCE: (340), (5760) imply:
% 251.18/49.12 | | | | | | | | | | | | | | (5762) ~ (all_52_1 = e2)
% 251.18/49.12 | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | REDUCE: (45), (5760) imply:
% 251.18/49.12 | | | | | | | | | | | | | | (5763) op(e3, e3) = e2
% 251.18/49.12 | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.18/49.12 | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | (5764) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.18/49.12 | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.18/49.12 | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | BETA: splitting (5764) gives:
% 251.18/49.12 | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | (5765) all_56_0 = e2 & op(e3, e3) = e2
% 251.18/49.12 | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | ALPHA: (5765) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | (5766) all_56_0 = e2
% 251.18/49.12 | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.18/49.12 | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.18/49.12 | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.18/49.12 | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.18/49.12 | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.18/49.12 | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.18/49.12 | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.18/49.12 | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.18/49.12 | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.18/49.12 | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.18/49.12 | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.18/49.12 | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.18/49.12 | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.18/49.12 | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.18/49.12 | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.18/49.12 | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.18/49.12 | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.18/49.12 | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.18/49.12 | | | | | | | | | | | | | | | | (5762), (5763), (5766), (function-axioms) are
% 251.18/49.12 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1047.
% 251.18/49.12 | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | (5767) all_56_1 = e2 & op(e3, e2) = e2
% 251.18/49.12 | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | ALPHA: (5767) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | (5768) all_56_1 = e2
% 251.18/49.12 | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | (5769) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.18/49.12 | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (5744), (5768), (5769) are inconsistent
% 251.18/49.12 | | | | | | | | | | | | | | | | | by sub-proof #3260.
% 251.18/49.12 | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | (5770) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.18/49.12 | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.18/49.12 | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | BETA: splitting (5770) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | (5771) all_56_7 = e3 & op(e1, e2) = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | ALPHA: (5771) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | (5772) all_56_7 = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | (5773) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.18/49.12 | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (5773) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | (5774) all_56_0 = e3 & op(e3, e3) = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | ALPHA: (5774) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | (5775) all_56_0 = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | (5776) op(e3, e3) = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | (5777) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5744), (5768), (5777) are inconsistent
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | by sub-proof #2993.
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | (5778) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5778) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | (5779) all_56_7 = e1 & op(e1, e2) = e1
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5772), (5779) are inconsistent by sub-proof
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | #2930.
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | (5780) all_56_13 = e1 & op(e0, e2) = e1
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5780) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | (5781) all_56_13 = e1
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | (5782) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5782) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5783) all_56_12 = e2 & op(e0, e3) = e2
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5783) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5784) all_56_12 = e2
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (5785) all_56_15 = e0 & op(e0, e0) = e0
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (228), (3633), (5744), (5768),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (5772), (5781), (5785) are inconsistent by
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1046.
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (5786) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5786) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (5787) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (5788) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5768), (5772),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (5775), (5776), (5781), (5784), (5787), (5788),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | | #1028.
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5789) all_56_13 = e2 & op(e0, e2) = e2
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5789) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5790) all_56_13 = e2
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (5744),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5768), (5790) are inconsistent by sub-proof
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | #2990.
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | (5791) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5791) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5792) all_56_14 = e2 & op(e0, e1) = e2
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5792) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5793) all_56_14 = e2
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5768), (5772),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5775), (5776), (5781), (5793), (function-axioms)
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1027.
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5794) all_56_15 = e2 & op(e0, e0) = e2
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (5775), (5794), (function-axioms)
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1026.
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | (5795) all_56_1 = e3 & op(e3, e2) = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | ALPHA: (5795) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | (5796) all_56_1 = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5768), (5796) are inconsistent by sub-proof
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | #3261.
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.12 | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | (5797) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.18/49.12 | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (5797) gives:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | (5798) all_56_4 = e3 & op(e3, e1) = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | ALPHA: (5798) implies:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | (5799) all_56_4 = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | (230), (232), (5744), (5763), (5768), (5772),
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | (5799), (function-axioms) are inconsistent by
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | sub-proof #1025.
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | (5800) all_56_9 = e3 & op(e3, e0) = e3
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.12 | | | | | | | | | | | | | | | | | | | | ALPHA: (5800) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | (5801) op(e3, e0) = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3625), (5801), (function-axioms) are
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.13 | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | (5802) all_56_13 = e3 & op(e0, e2) = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | ALPHA: (5802) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | (5803) all_56_13 = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | (5744), (5768), (5803), (function-axioms) are
% 251.18/49.13 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1197.
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | End of split
% 251.18/49.13 | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | End of split
% 251.18/49.13 | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | End of split
% 251.18/49.13 | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | (5804) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.18/49.13 | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | BETA: splitting (5804) gives:
% 251.18/49.13 | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | (5805) all_56_4 = e2 & op(e3, e1) = e2
% 251.18/49.13 | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | ALPHA: (5805) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | (5806) all_56_4 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | (5807) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.18/49.13 | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | BETA: splitting (5807) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | (5808) all_56_4 = e3 & op(e3, e1) = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | ALPHA: (5808) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | (5809) all_56_4 = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5806), (5809) are inconsistent by sub-proof
% 251.18/49.13 | | | | | | | | | | | | | | | | | | #2860.
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | (5810) all_56_5 = e3 & op(e2, e1) = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | ALPHA: (5810) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | (5811) all_56_5 = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | (5812) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (5812) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | (5813) all_56_0 = e0 & op(e3, e3) = e0
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | ALPHA: (5813) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | (5814) op(e3, e3) = e0
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5763), (5814), (function-axioms) are
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | (5815) all_56_1 = e0 & op(e3, e2) = e0
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | ALPHA: (5815) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | (5816) all_56_1 = e0
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | (5817) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5817) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | (5818) all_56_1 = e3 & op(e3, e2) = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | (224), (5744), (5762), (5811), (5816), (5818),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | #1024.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | (5819) all_56_3 = e3 & op(e2, e2) = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | (224), (5744), (5762), (5811), (5819),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | #1023.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | (5820) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5820) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | (5821) all_56_7 = e3 & op(e1, e2) = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5821) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | (5822) all_56_7 = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | (5823) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5744), (5816), (5823) are inconsistent by
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2931.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | (5824) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5824) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | (5825) all_56_7 = e1 & op(e1, e2) = e1
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5822), (5825) are inconsistent by sub-proof
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | #2930.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | (5826) all_56_13 = e1 & op(e0, e2) = e1
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5826) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | (5827) all_56_13 = e1
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | (5828) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5828) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (5829) all_56_0 = e3 & op(e3, e3) = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5829) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (5830) all_56_0 = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (5831) op(e3, e3) = e3
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5832) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5832) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5833) all_56_12 = e2 & op(e0, e3) = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5833) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5834) all_56_12 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5806), (5816),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5822), (5827), (5830), (5834), (function-axioms)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1022.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5835) all_56_13 = e2 & op(e0, e2) = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5835) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5836) all_56_13 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (5744), (5816), (5822),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5836) are inconsistent by sub-proof #2929.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5837) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5837) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5838) all_56_14 = e2 & op(e0, e1) = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5838) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5839) all_56_14 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5840) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5840) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5841) all_56_2 = e2 & op(e2, e3) = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5841) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5842) op(e2, e3) = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5762), (5842), (function-axioms) are
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5843) all_56_3 = e2 & op(e2, e2) = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5843) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5844) all_56_3 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5744), (5844) imply:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5845) e2 = e0
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5839), (5845) imply:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5846) all_56_14 = e0
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5806), (5816),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5846), (function-axioms) are inconsistent by
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1019.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5847) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5847) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5848) all_56_5 = e2 & op(e2, e1) = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5848) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5849) all_56_5 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5811), (5849) imply:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5850) e3 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (5830), (5850), (function-axioms)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1043.
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5851) all_56_10 = e2 & op(e2, e0) = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5851) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5852) all_56_10 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5853) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5853) gives:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5854) all_56_1 = e2 & op(e3, e2) = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5854) implies:
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5855) all_56_1 = e2
% 251.18/49.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5822), (5827),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830), (5831), (5839), (5855), (function-axioms)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1027.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5856) all_56_3 = e2 & op(e2, e2) = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (5852), (5856) are inconsistent by
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1711.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5857) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5857) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5858) all_56_7 = e2 & op(e1, e2) = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5858) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5859) all_56_7 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5822), (5859) imply:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5860) e3 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (5830), (5860), (function-axioms)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1043.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5861) all_56_13 = e2 & op(e0, e2) = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5861) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5862) all_56_13 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (5744), (5816), (5822),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5862) are inconsistent by sub-proof #2929.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5863) all_56_15 = e2 & op(e0, e0) = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (5830), (5863), (function-axioms)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1026.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5864) all_56_1 = e3 & op(e3, e2) = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (5744), (5762), (5811), (5816), (5864),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #1024.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5865) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (3625), (5806), (5865),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | #2217.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | (5866) all_56_13 = e3 & op(e0, e2) = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5866) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | (5867) all_56_13 = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | (5744), (5816), (5867), (function-axioms) are
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2915.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | (5868) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (5868) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | (5869) all_56_4 = e0 & op(e3, e1) = e0
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5806), (5869) are inconsistent by sub-proof
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | #2470.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | (5870) all_56_9 = e0 & op(e3, e0) = e0
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (5870) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | (5871) all_56_9 = e0
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | (5872) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5872) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | (5873) all_56_0 = e3 & op(e3, e3) = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5873) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | (5874) all_56_0 = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | (5875) op(e3, e3) = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | (5876) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (5744), (5762), (5876),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | #3300.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | (5877) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5877) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (5878) all_56_5 = e2 & op(e2, e1) = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5878) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (5879) all_56_5 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (5811), (5874), (5879),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | #1039.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (5880) all_56_10 = e2 & op(e2, e0) = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5880) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | (5881) all_56_10 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5882) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5882) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5883) all_56_2 = e1 & op(e2, e3) = e1
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5883) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5884) all_56_2 = e1
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5885) op(e2, e3) = e1
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5886) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5886) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5887) all_56_0 = e2 & op(e3, e3) = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5887) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5888) all_56_0 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (5888), (function-axioms) are
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1047.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5889) all_56_2 = e2 & op(e2, e3) = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5889) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5890) op(e2, e3) = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5885), (5890), (function-axioms) are
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3385.
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5891) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5891) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5892) all_56_6 = e2 & op(e1, e3) = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5892) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5893) all_56_6 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5894) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5894) gives:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5895) all_56_6 = e3 & op(e1, e3) = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5895) implies:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5896) all_56_6 = e3
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5893), (5896) imply:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5897) e3 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5874), (5897) imply:
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5898) all_56_0 = e2
% 251.18/49.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (5898), (function-axioms) are
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1047.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5899) all_56_7 = e3 & op(e1, e2) = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5899) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5900) all_56_7 = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5901) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5901) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5902) all_56_1 = e2 & op(e3, e2) = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5902) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5903) all_56_1 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (5744), (5763), (5806), (5811),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881), (5884), (5903), (function-axioms) are
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1017.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5904) all_56_3 = e2 & op(e2, e2) = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (5881), (5904) are inconsistent by
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1711.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5905) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5905) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5906) all_56_7 = e2 & op(e1, e2) = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5906) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5907) all_56_7 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5900), (5907) imply:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5908) e3 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (5874), (5908), (function-axioms)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1043.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5909) all_56_13 = e2 & op(e0, e2) = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5909) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5910) all_56_13 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5911) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5911) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5912) all_56_1 = e1 & op(e3, e2) = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5912) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5913) all_56_1 = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5914) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5915) all_56_12 = e1 & op(e0, e3) = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5915) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5916) all_56_12 = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (229), (5744), (5763), (5811),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881), (5893), (5910), (5913), (5916),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1718.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5917) all_56_13 = e1 & op(e0, e2) = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5917) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5918) all_56_13 = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5910), (5918) are inconsistent by sub-proof
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3344.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5919) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5919) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3,
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (5763), (5875) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5920) e3 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5874), (5920) imply:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921) all_56_0 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (5921), (function-axioms) are
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1047.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5922) all_56_15 = e1 & op(e0, e0) = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (5922) are inconsistent by sub-proof
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3276.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5923) all_56_3 = e1 & op(e2, e2) = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5923) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5924) all_56_3 = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5744), (5924) imply:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5925) e1 = e0
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5884), (5925) imply:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926) all_56_2 = e0
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (5744), (5811), (5881),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926) are inconsistent by sub-proof #3389.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5927) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5900), (5910), (5927) are inconsistent
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1916.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5928) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5928) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5929) all_56_8 = e3 & op(e1, e1) = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5929) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5930) all_56_8 = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5806), (5871),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5930), (function-axioms) are inconsistent by
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1010.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5931) all_56_11 = e3 & op(e1, e0) = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5931) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5932) all_56_11 = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (210), (222), (224),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5744), (5871), (5881), (5884), (5932) are
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2042.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5933) all_56_12 = e2 & op(e0, e3) = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5933) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5934) all_56_12 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5935) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5935) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5936) all_56_12 = e1 & op(e0, e3) = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5934), (5936) are inconsistent by sub-proof
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2927.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5937) all_56_13 = e1 & op(e0, e2) = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5937) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) all_56_13 = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5939) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) all_56_1 = e2 & op(e3, e2) = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5940) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) all_56_1 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (5744), (5763), (5806), (5811),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881), (5884), (5941), (function-axioms) are
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1017.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) all_56_3 = e2 & op(e2, e2) = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (5881), (5942) are inconsistent by
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1820.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5943) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) all_56_7 = e2 & op(e1, e2) = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5944) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5945) all_56_7 = e2
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5946) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5946) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5947) all_56_1 = e3 & op(e3, e2) = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5947) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948) all_56_1 = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5763), (5806), (5871),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948), (function-axioms) are inconsistent by
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1978.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5949) all_56_3 = e3 & op(e2, e2) = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (5744), (5811), (5881),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5884), (5949) are inconsistent by sub-proof
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2306.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5950) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5950) gives:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5951) all_56_7 = e3 & op(e1, e2) = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5951) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952) all_56_7 = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (235), (5744), (5763), (5874),
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881), (5934), (5945), (5952), (function-axioms)
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1710.
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5953) all_56_13 = e3 & op(e0, e2) = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5953) implies:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5954) all_56_13 = e3
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5938), (5954) imply:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955) e3 = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5811), (5955) imply:
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5956) all_56_5 = e1
% 251.18/49.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5806), (5871),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5874), (5875), (5934), (5938), (5956),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1012.
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5957) all_56_13 = e2 & op(e0, e2) = e2
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5938), (5957) are inconsistent by sub-proof
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2670.
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5958) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (222),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (3633), (5471), (5744), (5811),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881), (5884), (5934), (5958), (function-axioms)
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1128.
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (5959) all_56_3 = e1 & op(e2, e2) = e1
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5959) implies:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (5960) all_56_3 = e1
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5744), (5960) are inconsistent by sub-proof
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | #3393.
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5961) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5961) gives:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (5962) all_56_5 = e1 & op(e2, e1) = e1
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5811), (5962) are inconsistent by sub-proof
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | #3391.
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) all_56_10 = e1 & op(e2, e0) = e1
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5881), (5963) are inconsistent by sub-proof
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | | #3390.
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | (5964) all_56_1 = e3 & op(e3, e2) = e3
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5964) implies:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | (5965) all_56_1 = e3
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5763), (5806), (5871),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | (5965), (function-axioms) are inconsistent by
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1978.
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | (5966) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (3625), (5806), (5966),
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | | #2217.
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | | End of split
% 251.18/49.16 | | | | | | | | | | | | | | | | |
% 251.18/49.16 | | | | | | | | | | | | | | | | Case 2:
% 251.18/49.16 | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | (5967) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.41/49.16 | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.41/49.16 | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | BETA: splitting (5967) gives:
% 251.41/49.16 | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.16 | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | (5968) all_56_8 = e3 & op(e1, e1) = e3
% 251.41/49.16 | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | ALPHA: (5968) implies:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | (5969) all_56_8 = e3
% 251.41/49.16 | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 251.41/49.16 | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | (5970) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (5970) gives:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5971) all_56_0 = e0 & op(e3, e3) = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (5971) implies:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5972) op(e3, e3) = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5763), (5972), (function-axioms) are
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5973) all_56_1 = e0 & op(e3, e2) = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (5973) implies:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5974) all_56_1 = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | (5975) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | (224), (5744), (5762), (5806), (5975),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | #1016.
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | (5976) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5976) gives:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5977) all_56_8 = e0 & op(e1, e1) = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5969), (5977) are inconsistent by sub-proof
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | #1874.
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5978) all_56_14 = e0 & op(e0, e1) = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5978) implies:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5979) all_56_14 = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5806), (5974),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5979), (function-axioms) are inconsistent by
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1019.
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | (5980) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (5980) gives:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5981) all_56_4 = e0 & op(e3, e1) = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5806), (5981) are inconsistent by sub-proof
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | #2470.
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5982) all_56_9 = e0 & op(e3, e0) = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (5982) implies:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5983) all_56_9 = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5806), (5969),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5983), (function-axioms) are inconsistent by
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | sub-proof #1010.
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.16 | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.16 | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | (5984) all_56_14 = e3 & op(e0, e1) = e3
% 251.41/49.16 | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | ALPHA: (5984) implies:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | (5985) all_56_14 = e3
% 251.41/49.16 | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 251.41/49.16 | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | (5986) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (5986) gives:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5987) all_56_0 = e0 & op(e3, e3) = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (5987) implies:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5988) op(e3, e3) = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5763), (5988), (function-axioms) are
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5989) all_56_1 = e0 & op(e3, e2) = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (5989) implies:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | (5990) all_56_1 = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | (5991) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5991) gives:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5992) all_56_1 = e3 & op(e3, e2) = e3
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5992) implies:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5993) all_56_1 = e3
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5990), (5993) imply:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5994) e3 = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5806), (5985),
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5990), (5994), (function-axioms) are inconsistent
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1009.
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5995) all_56_3 = e3 & op(e2, e2) = e3
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5995) implies:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5996) all_56_3 = e3
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5744), (5996) imply:
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | | (5997) e3 = e0
% 251.41/49.16 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5806), (5985),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (5990), (5997), (function-axioms) are inconsistent
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1009.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | (5998) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5998) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (5999) all_56_7 = e3 & op(e1, e2) = e3
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5999) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (6000) all_56_7 = e3
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | (6001) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6001) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6002) all_56_12 = e2 & op(e0, e3) = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6002) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6003) all_56_12 = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5806), (5990),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6000), (6003), (function-axioms) are inconsistent
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1021.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6004) all_56_13 = e2 & op(e0, e2) = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6004) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6005) all_56_13 = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (5744), (5990), (6000),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6005) are inconsistent by sub-proof #2929.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | (6006) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6006) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6007) all_56_14 = e2 & op(e0, e1) = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5985), (6007) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | #3274.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6008) all_56_15 = e2 & op(e0, e0) = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (6008) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (6009) all_56_13 = e3 & op(e0, e2) = e3
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6009) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (6010) all_56_13 = e3
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | (6011) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (3633), (5471), (5744),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | (5990), (6010), (6011), (function-axioms) are
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2921.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | (6012) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6012) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6013) all_56_14 = e2 & op(e0, e1) = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6013) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6014) all_56_14 = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5985), (6014) imply:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6015) e3 = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6010), (6015) imply:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6016) all_56_13 = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (5744),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (5990), (6016) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | #2922.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6017) all_56_15 = e2 & op(e0, e0) = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (3633),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (5744), (5990), (6010), (6017) are inconsistent by
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2916.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | (6018) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (6018) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | (6019) all_56_4 = e0 & op(e3, e1) = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5806), (6019) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | #2470.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | (6020) all_56_9 = e0 & op(e3, e0) = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | ALPHA: (6020) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | (6021) all_56_9 = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | (6022) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | (224), (5744), (5762), (5806), (6022),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | #1016.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | (6023) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6023) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (6024) all_56_8 = e0 & op(e1, e1) = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6024) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | (6025) all_56_8 = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | (6026) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6026) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6027) all_56_0 = e3 & op(e3, e3) = e3
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6027) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6028) all_56_0 = e3
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | (6029) op(e3, e3) = e3
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | (6030) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6030) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (6031) all_56_12 = e2 & op(e0, e3) = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6031) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (6032) all_56_12 = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6033) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6033) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6034) all_56_12 = e1 & op(e0, e3) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6032), (6034) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2927.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6035) all_56_13 = e1 & op(e0, e2) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6035) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6036) all_56_13 = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6037) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6037) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6038) all_56_4 = e1 & op(e3, e1) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5806), (6038) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2862.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6039) all_56_5 = e1 & op(e2, e1) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6039) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6040) all_56_5 = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (79),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (103), (110), (112), (113), (117),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (141),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (192), (193), (194),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (238), (241),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (252), (253), (261), (262), (264), (272),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (365), (370), (376), (3618), (3621),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622), (3624), (3625), (3626), (3627), (3633),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5467), (5468), (5469), (5470),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5473), (5475), (5744), (5748),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758), (5761), (5762), (5763), (5806), (6021),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6028), (6029), (6032), (6036), (6040),
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1012.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6041) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6041) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6042) all_56_8 = e1 & op(e1, e1) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6025), (6042) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6043) all_56_14 = e1 & op(e0, e1) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5985), (6043) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3277.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6044) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6044) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6045) all_56_14 = e1 & op(e0, e1) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5985), (6045) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3277.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6046) all_56_15 = e1 & op(e0, e0) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (6046) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3276.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (6047) all_56_13 = e2 & op(e0, e2) = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6047) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (6048) all_56_13 = e2
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6049) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6049) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6050) all_56_12 = e1 & op(e0, e3) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6050) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6051) all_56_12 = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6052) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6052) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6053) all_56_4 = e1 & op(e3, e1) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5806), (6053) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2862.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6054) all_56_5 = e1 & op(e2, e1) = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6054) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6055) all_56_5 = e1
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6056) all_56_15 = e0 & op(e0, e0) = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3633), (6056) are inconsistent by sub-proof
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3197.
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6057) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6057) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6058) gives:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059) all_56_12 = e0 & op(e0, e3) = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6059) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6060) all_56_12 = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6051), (6060) imply:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6061) e1 = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6061) implies:
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6062) e1 = e0
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.41/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6055), (6062) imply:
% 251.46/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6063) all_56_5 = e0
% 251.46/49.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (5744), (5762), (6063), (function-axioms)
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3299.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6064) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6064) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6065) all_56_13 = e0 & op(e0, e2) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6065) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066) op(e0, e2) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5471), (6066), (function-axioms) are
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6067) all_56_14 = e0 & op(e0, e1) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6067) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6068) all_56_14 = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5985), (6068) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2897.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6069) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6069) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6070) all_56_8 = e1 & op(e1, e1) = e1
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6025), (6070) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6071) all_56_14 = e1 & op(e0, e1) = e1
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5985), (6071) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3277.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6072) all_56_13 = e1 & op(e0, e2) = e1
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6048), (6072) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3278.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6073) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6073) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074) all_56_14 = e1 & op(e0, e1) = e1
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5985), (6074) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3277.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075) all_56_15 = e1 & op(e0, e0) = e1
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (6075) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3276.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | (6076) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6076) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (6077) all_56_14 = e2 & op(e0, e1) = e2
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6077) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (6078) all_56_14 = e2
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (5985), (6028), (6078),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | #1037.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (6079) all_56_15 = e2 & op(e0, e0) = e2
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (79), (85), (91),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (103), (110), (112), (113), (117), (118), (120),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (143), (144),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (148), (149), (157), (158), (160),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (192), (193), (194), (195), (196),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (206), (207),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (238), (241), (250), (252),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (272), (273), (274),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (363), (365),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (3618), (3621), (3622), (3624),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5465),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5467), (5468), (5469), (5470), (5471), (5472),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (5748), (5758), (5761),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5762), (5763), (6028), (6079), (function-axioms)
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1026.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | (6080) all_56_1 = e3 & op(e3, e2) = e3
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6080) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | (6081) all_56_1 = e3
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5763), (5806), (6021),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | (6081), (function-axioms) are inconsistent by
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1978.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | (6082) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (3625), (5806), (6082),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | | #2217.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | (6083) all_56_14 = e0 & op(e0, e1) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5985), (6083) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | | #3272.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | (6084) all_56_9 = e2 & op(e3, e0) = e2
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | ALPHA: (6084) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | (6085) all_56_9 = e2
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (206), (207),
% 251.46/49.18 | | | | | | | | | | | | | | | | (208), (210), (214), (215), (216), (218), (219),
% 251.46/49.18 | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 251.46/49.18 | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (236),
% 251.46/49.18 | | | | | | | | | | | | | | | | (3625), (3633), (5744), (5763), (6085),
% 251.46/49.18 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | #1910.
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | (6086) all_18_2 = e0
% 251.46/49.18 | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | COMBINE_EQS: (328), (6086) imply:
% 251.46/49.18 | | | | | | | | | | | | | (6087) all_6_2 = e0
% 251.46/49.18 | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | SIMP: (6087) implies:
% 251.46/49.18 | | | | | | | | | | | | | (6088) all_6_2 = e0
% 251.46/49.18 | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | REDUCE: (368), (6088) imply:
% 251.46/49.18 | | | | | | | | | | | | | (6089) ~ (all_52_11 = e0)
% 251.46/49.18 | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | REDUCE: (39), (6088) imply:
% 251.46/49.18 | | | | | | | | | | | | | (6090) op(e1, e1) = e0
% 251.46/49.18 | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | BETA: splitting (213) gives:
% 251.46/49.18 | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | (6091) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 251.46/49.18 | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 251.46/49.18 | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | BETA: splitting (6091) gives:
% 251.46/49.18 | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | (6092) all_56_6 = e0 & op(e1, e3) = e0
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | ALPHA: (6092) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | (6093) all_56_6 = e0
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.46/49.18 | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (215), (216),
% 251.46/49.18 | | | | | | | | | | | | | | | (217), (218), (220), (222), (223), (224), (226),
% 251.46/49.18 | | | | | | | | | | | | | | | (227), (228), (231), (233), (235), (376), (3633),
% 251.46/49.18 | | | | | | | | | | | | | | | (5471), (5744), (6090), (6093), (function-axioms)
% 251.46/49.18 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1002.
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | (6094) all_56_7 = e0 & op(e1, e2) = e0
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | ALPHA: (6094) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | (6095) all_56_7 = e0
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.46/49.18 | | | | | | | | | | | | | | | (5744), (6095) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | #3252.
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | (6096) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 251.46/49.18 | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 251.46/49.18 | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | BETA: splitting (6096) gives:
% 251.46/49.18 | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | (6097) all_56_8 = e0 & op(e1, e1) = e0
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | ALPHA: (6097) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | (6098) all_56_8 = e0
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 251.46/49.18 | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | (6099) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | BETA: splitting (6099) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | (6100) all_56_0 = e0 & op(e3, e3) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (5746), (6100), (function-axioms) are
% 251.46/49.18 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2781.
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | (6101) all_56_1 = e0 & op(e3, e2) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | ALPHA: (6101) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | (6102) all_56_1 = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.46/49.18 | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.46/49.18 | | | | | | | | | | | | | | | | | (5744), (6102), (function-axioms) are inconsistent
% 251.46/49.18 | | | | | | | | | | | | | | | | | by sub-proof #2914.
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | (6103) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | BETA: splitting (6103) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | (6104) all_56_4 = e0 & op(e3, e1) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | ALPHA: (6104) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | (6105) all_56_4 = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | (6106) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.46/49.18 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | BETA: splitting (6106) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6107) all_56_4 = e3 & op(e3, e1) = e3
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | ALPHA: (6107) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6108) all_56_4 = e3
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6105), (6108) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | #3175.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6109) all_56_5 = e3 & op(e2, e1) = e3
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | ALPHA: (6109) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6110) all_56_5 = e3
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6111) op(e2, e1) = e3
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (6098),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6105), (6110), (6111), (function-axioms) are
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3055.
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | (6112) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.46/49.18 | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | (207), (208), (376), (3633), (5471), (6112),
% 251.46/49.18 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | #1239.
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | End of split
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | (6113) all_56_9 = e0 & op(e3, e0) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | ALPHA: (6113) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | (6114) all_56_9 = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | (6115) op(e3, e0) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | (6116) all_56_15 = e0 & op(e0, e0) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3633), (6116) are inconsistent by sub-proof
% 251.46/49.18 | | | | | | | | | | | | | | | | | | #3280.
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | (6117) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.46/49.18 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.46/49.18 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.46/49.18 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.46/49.18 | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | ALPHA: (6117) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | (6118) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 251.46/49.18 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 251.46/49.18 | | | | | | | | | | | | | | | | | | e1) = e0)
% 251.46/49.18 | | | | | | | | | | | | | | | | | | (6119) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.46/49.18 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 251.46/49.18 | | | | | | | | | | | | | | | | | | e0) = e0)
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | BETA: splitting (6118) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6120) all_56_12 = e0 & op(e0, e3) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | ALPHA: (6120) implies:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6121) all_56_12 = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6122) op(e0, e3) = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (6122) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6123) all_52_3 = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (6115) gives:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6124) all_52_12 = e0
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | REDUCE: (144), (6123) imply:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6125) ~ (all_52_2 = e0)
% 251.46/49.18 | | | | | | | | | | | | | | | | | | |
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6123) imply:
% 251.46/49.18 | | | | | | | | | | | | | | | | | | | (6126) ~ (all_52_7 = e0)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6123) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | (6127) ~ (all_52_11 = e0)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | REDUCE: (113), (6124) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | (6128) ~ (all_52_13 = e0)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (6124) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | (6129) ~ (all_52_14 = e0)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | SIMP: (6129) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | (6130) ~ (all_52_14 = e0)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | REDUCE: (350), (6124) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | (6131) ~ (all_10_2 = e0)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | (6132) ~ (all_26_2 = e3)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (3621), (6132) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | (6133) $false
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | CLOSE: (6133) is inconsistent.
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | (6134) ( ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6134) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | (6135) ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0 &
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_26_1 & $i(all_26_0) &
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6135) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | (6136) ~ (all_26_0 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | (6137) op(e0, e3) = all_26_1
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | (6138) op(e0, all_26_1) = all_26_0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3618) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6139) ~ (all_12_0 = e1) & op(e0, all_12_1) = all_12_0 &
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6139) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6140) ~ (all_12_0 = e1)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6141) op(e0, e3) = all_12_1
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6142) op(e0, all_12_1) = all_12_0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6122), (6137) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6143) all_26_1 = e0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (6137), (6141)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6144) all_26_1 = all_12_1
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6143), (6144) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6145) all_12_1 = e0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6145) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6146) all_12_1 = e0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6138), (6143) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6147) op(e0, e0) = all_26_0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6142), (6146) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6148) op(e0, e0) = all_12_0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_26_0,
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3634), (6147) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6149) all_26_0 = e3
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_0,
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | all_26_0, e0, e0, simplifying with (6147), (6148)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6150) all_26_0 = all_12_0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6149), (6150) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6151) all_12_0 = e3
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6152) ~ (all_24_2 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (6152) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6153) ~ (all_10_2 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (45), (123), (136), (157),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (158), (162), (165), (168), (169), (170), (204),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (222), (223),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (241), (282), (348),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (376), (378), (3625), (3633), (5471), (5475),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (5744), (5746), (6089), (6090), (6114), (6121),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6153), (function-axioms) are inconsistent by
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #998.
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6154) all_24_2 = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (6154) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6155) all_10_2 = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6155) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6156) all_10_2 = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (6156) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6157) ~ (all_52_1 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (6156) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6158) ~ (all_52_2 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (6156) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6159) ~ (all_52_4 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (6156) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6160) op(e3, e3) = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (110), (117),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (118), (123), (126), (128), (135), (136), (141),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (143), (145), (146), (149), (157), (158), (160),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (165), (167), (168), (169), (170),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (195), (196), (197), (198),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (200), (203), (206), (207), (208), (210), (211),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (236), (241), (242), (250), (251), (253), (261),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (262), (263), (264), (272), (275), (376), (3623),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (3624), (3625), (3626), (3627), (3633), (3634),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (5468), (5469), (5470), (5471), (5472), (5473),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (5475), (5744), (6089), (6090), (6098), (6114),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6118), (6119), (6121), (6122), (6125), (6130),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6157), (6158), (6159), (6160), (function-axioms)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #979.
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6161) ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6161) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6162) ~ (all_12_1 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6163) op(e0, e3) = all_12_1
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6122), (6137) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6164) all_26_1 = e0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (6137), (6163)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6165) all_26_1 = all_12_1
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6164), (6165) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6166) all_12_1 = e0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6166) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6167) all_12_1 = e0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6162), (6167) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6168) ~ (e2 = e0)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6138), (6164) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6169) op(e0, e0) = all_26_0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_26_0,
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3634), (6169) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6170) all_26_0 = e3
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6171) ~ (all_24_2 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (6171) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6172) ~ (all_10_2 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (45), (123), (136), (157),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (158), (162), (165), (168), (169), (170), (204),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (222), (223),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (241), (282), (348),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (376), (378), (3625), (3633), (5471), (5475),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (5744), (5746), (6089), (6090), (6114), (6121),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6172), (function-axioms) are inconsistent by
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #998.
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6173) all_24_2 = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (6173) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6174) all_10_2 = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6174) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6175) all_10_2 = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (6175) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6176) ~ (all_52_1 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (6175) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6177) ~ (all_52_2 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (6175) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6178) ~ (all_52_4 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (6175) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6179) op(e3, e3) = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (110), (117),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (118), (123), (126), (128), (135), (136), (141),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (143), (145), (146), (149), (157), (158), (160),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (165), (167), (168), (169), (170),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (195), (196), (197), (198),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (200), (203), (206), (207), (208), (210), (211),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (236), (241), (242), (250), (251), (253), (261),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (262), (263), (264), (272), (275), (376), (3623),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (3624), (3625), (3626), (3627), (3633), (3634),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (5468), (5469), (5470), (5471), (5472), (5473),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (5475), (5744), (6089), (6090), (6098), (6114),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6118), (6119), (6121), (6122), (6125), (6130),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6176), (6177), (6178), (6179), (function-axioms)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #979.
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | (6180) ~ (all_26_1 = e1) & op(e0, e3) = all_26_1 &
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6180) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | (6181) ~ (all_26_1 = e1)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | (6182) op(e0, e3) = all_26_1
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3618) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6183) ~ (all_12_0 = e1) & op(e0, all_12_1) = all_12_0 &
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6183) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6184) ~ (all_12_0 = e1)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6185) op(e0, e3) = all_12_1
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6186) op(e0, all_12_1) = all_12_0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6122), (6182) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6187) all_26_1 = e0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (6182), (6185)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6188) all_26_1 = all_12_1
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6187), (6188) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6189) all_12_1 = e0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6189) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6190) all_12_1 = e0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6181), (6187) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6191) ~ (e1 = e0)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6186), (6190) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6192) op(e0, e0) = all_12_0
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_12_0,
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3634), (6192) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6193) all_12_0 = e3
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6194) ~ (all_24_2 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (6194) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6195) ~ (all_10_2 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (45), (123), (136), (157),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (158), (162), (165), (168), (169), (170), (204),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (222), (223),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (241), (282), (348),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (376), (378), (3625), (3633), (5471), (5475),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (5744), (5746), (6089), (6090), (6114), (6121),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6195), (function-axioms) are inconsistent by
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #998.
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6196) all_24_2 = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (6196) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6197) all_10_2 = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6197) implies:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6198) all_10_2 = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (6198) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6199) ~ (all_52_1 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (6198) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6200) ~ (all_52_2 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (6198) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6201) ~ (all_52_4 = e2)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (6198) imply:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6202) op(e3, e3) = e2
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (110), (117),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (118), (123), (126), (128), (135), (136), (141),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (143), (145), (146), (149), (158), (160), (162),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (168), (169), (170), (190),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (191), (193), (195), (196), (197), (198), (200),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (210), (211), (213),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (250), (251), (253), (261), (262),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (263), (264), (272), (275), (376), (3623), (3624),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5468),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (5469), (5470), (5471), (5472), (5473), (5475),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (5744), (6090), (6098), (6114), (6118), (6119),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6121), (6122), (6125), (6130), (6181), (6182),
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | (6199), (6200), (6201), (6202), (function-axioms)
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #971.
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.19 | | | | | | | | | | | | | | | | | | | | | | (6203) ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6203) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | (6204) ~ (all_12_1 = e2)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | (6205) op(e0, e3) = all_12_1
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6122), (6182) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | (6206) all_26_1 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (6182), (6205)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | (6207) all_26_1 = all_12_1
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6206), (6207) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | (6208) all_12_1 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6208) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | (6209) all_12_1 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6181), (6206) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | (6210) ~ (e1 = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6204), (6209) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | (6211) ~ (e2 = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6212) ~ (all_24_2 = e2)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (6212) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6213) ~ (all_10_2 = e2)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (45), (123), (136), (157),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (158), (162), (165), (168), (169), (170), (204),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (222), (223),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (241), (282), (348),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (376), (378), (3625), (3633), (5471), (5475),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (5744), (5746), (6089), (6090), (6114), (6121),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6213), (function-axioms) are inconsistent by
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #998.
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6214) all_24_2 = e2
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (6214) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6215) all_10_2 = e2
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6215) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6216) all_10_2 = e2
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (340), (6216) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6217) ~ (all_52_1 = e2)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (6216) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6218) ~ (all_52_2 = e2)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (6216) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6219) ~ (all_52_4 = e2)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (6216) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6220) op(e3, e3) = e2
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (110), (117),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (118), (123), (126), (128), (135), (136), (141),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (143), (145), (146), (149), (158), (160), (162),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (168), (169), (170), (190),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (191), (193), (195), (196), (197), (198), (200),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (210), (211), (213),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (227), (228), (229),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (250), (251), (253), (261), (262),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (263), (264), (272), (275), (376), (3623), (3624),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (3625), (3626), (3627), (3633), (3634), (5468),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (5469), (5470), (5471), (5472), (5473), (5475),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (5744), (6090), (6098), (6114), (6118), (6119),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6121), (6122), (6125), (6130), (6181), (6182),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | (6217), (6218), (6219), (6220), (function-axioms)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #971.
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6221) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (5471), (6089), (6221),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | #3079.
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | (6222) all_56_11 = e0 & op(e1, e0) = e0
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | ALPHA: (6222) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | (6223) all_56_11 = e0
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | (6224) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | BETA: splitting (6224) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6225) all_56_0 = e0 & op(e3, e3) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (5746), (6225), (function-axioms) are
% 251.46/49.20 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2781.
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6226) all_56_1 = e0 & op(e3, e2) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | ALPHA: (6226) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6227) all_56_1 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.46/49.20 | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.46/49.20 | | | | | | | | | | | | | | | | | (5744), (6227), (function-axioms) are inconsistent
% 251.46/49.20 | | | | | | | | | | | | | | | | | by sub-proof #2914.
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | (6228) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | BETA: splitting (6228) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6229) all_56_4 = e0 & op(e3, e1) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | ALPHA: (6229) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6230) all_56_4 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | (6231) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.46/49.20 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | BETA: splitting (6231) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6232) all_56_4 = e3 & op(e3, e1) = e3
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | ALPHA: (6232) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6233) all_56_4 = e3
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6230), (6233) are inconsistent by sub-proof
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | #3175.
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6234) all_56_5 = e3 & op(e2, e1) = e3
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | ALPHA: (6234) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6235) all_56_5 = e3
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6236) op(e2, e1) = e3
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | (6237) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6237) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (6238) all_56_0 = e0 & op(e3, e3) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (5746), (6238), (function-axioms) are
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2781.
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (6239) all_56_2 = e0 & op(e2, e3) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6239) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (6240) all_56_2 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (5744),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (6235), (6240) are inconsistent by sub-proof
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | #3388.
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | (6241) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6241) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (6242) all_56_6 = e0 & op(e1, e3) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6242) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (6243) all_56_6 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (215), (216),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (222), (223), (224), (226),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (227), (228), (231), (233), (235), (376), (3633),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (5471), (5744), (6090), (6243), (function-axioms)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1002.
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (6244) all_56_12 = e0 & op(e0, e3) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6244) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (6245) all_56_12 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (208), (218), (219),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (3633), (6090), (6230), (6235), (6236), (6245),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | | #2564.
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | (6246) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.46/49.20 | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | (207), (208), (376), (3633), (5471), (6246),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.46/49.20 | | | | | | | | | | | | | | | | | | #1239.
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6247) all_56_9 = e0 & op(e3, e0) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | ALPHA: (6247) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6248) all_56_9 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (210), (211), (3633),
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6223), (6248) are inconsistent by sub-proof
% 251.46/49.20 | | | | | | | | | | | | | | | | | #2611.
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | End of split
% 251.46/49.20 | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | (6249) all_16_2 = e0
% 251.46/49.20 | | | | | | | | | | | | (6250) ( ~ (all_16_0 = e2) & op(e3, all_16_1) = all_16_0
% 251.46/49.20 | | | | | | | | | | | | & op(e3, e0) = all_16_1 & $i(all_16_0) &
% 251.46/49.20 | | | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e1) & op(e3, e0)
% 251.46/49.20 | | | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 251.46/49.20 | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | COMBINE_EQS: (331), (6249) imply:
% 251.46/49.20 | | | | | | | | | | | | (6251) all_10_2 = e0
% 251.46/49.20 | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | SIMP: (6251) implies:
% 251.46/49.20 | | | | | | | | | | | | (6252) all_10_2 = e0
% 251.46/49.20 | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | COMBINE_EQS: (284), (6252) imply:
% 251.46/49.20 | | | | | | | | | | | | (6253) all_50_2 = e0
% 251.46/49.20 | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | REDUCE: (344), (6252) imply:
% 251.46/49.20 | | | | | | | | | | | | (6254) ~ (all_52_3 = e0)
% 251.46/49.20 | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | REDUCE: (350), (6252) imply:
% 251.46/49.20 | | | | | | | | | | | | (6255) ~ (all_52_12 = e0)
% 251.46/49.20 | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | REDUCE: (378), (6252) imply:
% 251.46/49.20 | | | | | | | | | | | | (6256) ~ (e1 = e0)
% 251.46/49.20 | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | BETA: splitting (230) gives:
% 251.46/49.20 | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | (6257) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 251.46/49.20 | | | | | | | | | | | | | & op(e3, e2) = e0)
% 251.46/49.20 | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | BETA: splitting (6257) gives:
% 251.46/49.20 | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | (6258) all_56_0 = e0 & op(e3, e3) = e0
% 251.46/49.20 | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | ALPHA: (6258) implies:
% 251.46/49.20 | | | | | | | | | | | | | | (6259) all_56_0 = e0
% 251.46/49.20 | | | | | | | | | | | | | | (6260) op(e3, e3) = e0
% 251.46/49.20 | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.46/49.20 | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | (6261) all_56_15 = e0 & op(e0, e0) = e0
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | REF_CLOSE: (7), (3633), (6261) are inconsistent by sub-proof
% 251.46/49.20 | | | | | | | | | | | | | | | #3280.
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | (6262) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.46/49.20 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.46/49.20 | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.46/49.20 | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.46/49.20 | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | ALPHA: (6262) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | (6263) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 251.46/49.20 | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 251.46/49.20 | | | | | | | | | | | | | | | e1) = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | (6264) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.46/49.20 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 251.46/49.20 | | | | | | | | | | | | | | | e0) = e0)
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | BETA: splitting (6263) gives:
% 251.46/49.20 | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | (6265) all_56_12 = e0 & op(e0, e3) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | ALPHA: (6265) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | (6266) op(e0, e3) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6254), (6266), (function-axioms) are
% 251.46/49.20 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3461.
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | (6267) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 251.46/49.20 | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | BETA: splitting (6267) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6268) all_56_13 = e0 & op(e0, e2) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | ALPHA: (6268) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6269) op(e0, e2) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5471), (6269), (function-axioms) are
% 251.46/49.20 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6270) all_56_14 = e0 & op(e0, e1) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | ALPHA: (6270) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6271) all_56_14 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | (6272) op(e0, e1) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | BETA: splitting (6264) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | (6273) all_56_9 = e0 & op(e3, e0) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6255), (6273), (function-axioms) are
% 251.46/49.20 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | (6274) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 251.46/49.20 | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | BETA: splitting (6274) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6275) all_56_10 = e0 & op(e2, e0) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | ALPHA: (6275) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6276) all_56_10 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (5744), (6276) are inconsistent by sub-proof
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | #3038.
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6277) all_56_11 = e0 & op(e1, e0) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | ALPHA: (6277) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6278) all_56_11 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6279) op(e1, e0) = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (6272) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6280) all_52_11 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (6279) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6281) all_52_14 = e0
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6281) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6282) ~ (all_52_2 = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6280) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6283) ~ (all_52_8 = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (6281) imply:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6284) ~ (all_6_2 = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | SIMP: (6284) implies:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | (6285) ~ (all_6_2 = e0)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | (6286) ~ (all_26_2 = e3)
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (3621), (6286) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | (6287) $false
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | CLOSE: (6287) is inconsistent.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | (6288) ( ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | (6289) ~ (all_36_2 = e2)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (6289) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | (6290) ~ (all_6_2 = e2)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | (6291) all_54_10 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (6291) are inconsistent by sub-proof
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | #3450.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | (6292) ~ (all_54_10 = e3)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | (6293) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6293) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | (6294) all_54_10 = e2
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (6290), (6294) are inconsistent by
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3449.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | (6295) ~ (all_54_10 = e2)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | (6296) all_54_10 = e1 | all_54_10 = e0
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6296) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | (6297) all_54_10 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (6297) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | (6298) all_6_2 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6298) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | (6299) all_6_2 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (6299) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | (6300) ~ (all_52_2 = e1)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (6299) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | (6301) ~ (all_52_6 = e1)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (6299) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | (6302) ~ (all_52_8 = e1)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (6299) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | (6303) ~ (e3 = e1)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6290), (6299) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | (6304) ~ (e2 = e1)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (6299) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | (6305) op(e1, e1) = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | (6306) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6306) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) all_56_4 = e1 & op(e3, e1) = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6307) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) all_56_4 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (162),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (207), (208), (219), (220), (226), (227),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (236), (376), (3625), (3633), (5471),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6260), (6263), (6271), (6301), (6305),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (6308), (function-axioms) are inconsistent by
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #970.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) all_56_5 = e1 & op(e2, e1) = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6309) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) all_56_5 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6311) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6311) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6312) all_56_2 = e3 & op(e2, e3) = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6312) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313) all_56_2 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6314) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6314) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6315) all_56_4 = e3 & op(e3, e1) = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6315) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316) all_56_4 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (6271), (6305), (6310),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316), (function-axioms) are inconsistent by
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3032.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6317) all_56_5 = e3 & op(e2, e1) = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6317) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6318) all_56_5 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (5744),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313), (6318) are inconsistent by sub-proof
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2809.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (376), (3633), (5471), (6263), (6319),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3167.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) all_56_3 = e3 & op(e2, e2) = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6320) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) all_56_3 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5744), (6321) are inconsistent by sub-proof
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3373.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6322) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) all_56_5 = e3 & op(e2, e1) = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6310), (6323) are inconsistent by sub-proof
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3027.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) all_56_10 = e3 & op(e2, e0) = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6324) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) all_56_10 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6326) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) all_56_9 = e2 & op(e3, e0) = e2
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6327) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) all_56_9 = e2
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6329) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) all_56_4 = e3 & op(e3, e1) = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6330) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) all_56_4 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6332) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) all_56_9 = e1 & op(e3, e0) = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6328), (6333) are inconsistent by sub-proof
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2941.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) all_56_10 = e1 & op(e2, e0) = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6334) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6335) all_56_10 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6325), (6335) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6336) e3 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6331), (6336) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337) all_56_4 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (162),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (207), (208), (219), (220), (226), (227),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (236), (376), (3625), (3633), (5471),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6260), (6263), (6271), (6301), (6305),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337), (function-axioms) are inconsistent by
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #970.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6338) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) all_56_11 = e1 & op(e1, e0) = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6278), (6339) are inconsistent by sub-proof
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1995.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) all_56_15 = e1 & op(e0, e0) = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6340) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) all_56_15 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3633), (6341) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) e3 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6331), (6342) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) all_56_4 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (162),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (207), (208), (219), (220), (226), (227),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (236), (376), (3625), (3633), (5471),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6260), (6263), (6271), (6301), (6305),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343), (function-axioms) are inconsistent by
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #970.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) all_56_5 = e3 & op(e2, e1) = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6344) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) all_56_5 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6310), (6345) are inconsistent by sub-proof
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3223.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (376), (3633), (5471), (6263), (6346),
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3167.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) all_56_10 = e2 & op(e2, e0) = e2
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6325), (6347) are inconsistent by sub-proof
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3366.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3633), (6278), (6348) are inconsistent
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #969.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | (6349) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6349) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) all_56_8 = e1 & op(e1, e1) = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6350) implies:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_56_8 = e1
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) ~ (all_48_2 = e0)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5467), (6352) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) $false
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6353) is inconsistent.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) ( ~ (all_48_0 = e1) & op(e2, all_48_1) = all_48_0
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) ~ (all_50_2 = e0)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6253), (6355) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) $false
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6356) is inconsistent.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) ( ~ (all_50_0 = e1) & op(e3, all_50_1) = all_50_0
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) all_54_13 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (6358) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) all_52_7 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3623), (6359) imply:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) $false
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6360) is inconsistent.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6362) all_54_3 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (3625), (6362) are inconsistent by
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3145.
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) ~ (all_54_3 = e3)
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) all_54_8 = e3
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.46/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (6365) imply:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6366) all_52_2 = e3
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6366) implies:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6367) all_52_2 = e3
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (6367) imply:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6368) ~ (all_52_3 = e3)
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (6367) imply:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6369) ~ (all_52_6 = e3)
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6369) implies:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6370) ~ (all_52_6 = e3)
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6371) all_54_9 = e3
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (6370), (6371) are inconsistent by
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2980.
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6372) ~ (all_54_9 = e3)
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6373) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6374) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6374) gives:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6375) all_56_2 = e3 & op(e2, e3) = e3
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6375) implies:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6376) all_56_2 = e3
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6377) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (220), (222), (223), (224),
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (376), (3625), (3633),
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5744), (6376), (6377), (function-axioms)
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #968.
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6378) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6378) gives:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6379) all_56_7 = e3 & op(e1, e2) = e3
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6379) implies:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6380) op(e1, e2) = e3
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6381) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6381) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6382) all_56_4 = e3 & op(e3, e1) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (134), (135), (136), (162), (169), (203),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (261), (275), (5469), (5470), (5471),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361), (6370), (6373), (6380), (6382),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #967.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6383) all_56_5 = e3 & op(e2, e1) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6383) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6384) all_56_5 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (5744),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6376), (6384) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2809.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6385) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (376), (3633), (5471), (6263), (6385),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3167.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6386) all_56_13 = e3 & op(e0, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6386) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6387) all_56_13 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (207), (208), (231),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (6259), (6271), (6376), (6387) are
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1642.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6388) all_56_3 = e3 & op(e2, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6388) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6389) all_56_3 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5744), (6389) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3373.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6390) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6390) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6391) all_56_5 = e3 & op(e2, e1) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6391) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6392) all_56_5 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6393) op(e2, e1) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6394) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6394) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6395) all_56_1 = e3 & op(e3, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6395) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6396) all_56_1 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (91),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (120), (123), (126),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (134), (135), (136), (140), (141),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (145), (146), (148), (149), (158), (160),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (165), (167), (168), (169), (170),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (193), (194), (196), (197), (200), (201),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (206), (207), (208), (210), (211),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (240), (241), (251), (252), (253), (261),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262), (263), (272), (273), (274), (275), (306),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336), (338), (352), (366), (370), (376), (3622),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (3634), (5465), (5468), (5469), (5470),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5475), (5744), (6250), (6254),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255), (6259), (6264), (6271), (6278), (6279),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283), (6285), (6290), (6300), (6301), (6302),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305), (6351), (6354), (6357), (6361), (6364),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6370), (6373), (6392), (6393), (6396),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #958.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6397) all_56_3 = e3 & op(e2, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6397) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6398) all_56_3 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5744), (6398) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3373.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6399) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6399) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6400) all_56_7 = e3 & op(e1, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6400) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6401) all_56_7 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6402) op(e1, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (85), (91), (110),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (120), (123), (126), (133),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (136), (141), (143), (145), (146), (149),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (165), (167), (168),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (193), (194), (196), (197), (200),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (206), (207), (208), (210),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (216), (217), (218), (219),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (236),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (253), (262), (263), (272), (273), (274),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (366), (370),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3633), (3634), (5468), (5469), (5471),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5472), (5475), (5744), (6271), (6285), (6392),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6393), (6401), (6402), (function-axioms) are
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #957.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6403) all_56_13 = e3 & op(e0, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6403) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6404) all_56_13 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (216), (222), (223),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (231), (376),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5471), (5744), (6271), (6392), (6404),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6405) all_56_10 = e3 & op(e2, e0) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6405) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6406) all_56_10 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6407) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6407) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6408) all_56_1 = e3 & op(e3, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6408) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6409) all_56_1 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6410) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6410) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6411) all_56_6 = e3 & op(e1, e3) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6411) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6412) all_56_6 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6413) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6413) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6414) all_56_4 = e3 & op(e3, e1) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6414) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6415) all_56_4 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (206), (207),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (3625), (3633), (5744),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271), (6406), (6409), (6412), (6415),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #956.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6416) all_56_5 = e3 & op(e2, e1) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6416) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6417) all_56_5 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6418) op(e2, e1) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (91),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (120), (123), (126),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (134), (135), (136), (140), (141),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (145), (146), (148), (149), (158), (160),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (165), (167), (168), (169), (170),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (193), (194), (196), (197), (200), (201),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (206), (207), (208), (210), (211),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (240), (241), (251), (252), (253), (261),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262), (263), (272), (273), (274), (275), (306),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336), (338), (352), (366), (370), (376), (3622),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (3634), (5465), (5468), (5469), (5470),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5472), (5475), (5744), (6250), (6254),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255), (6259), (6264), (6271), (6278), (6279),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283), (6285), (6290), (6300), (6301), (6302),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305), (6351), (6354), (6357), (6361), (6364),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6370), (6373), (6409), (6417), (6418),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #958.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6419) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (376), (3633), (5471), (6263), (6419),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3167.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6420) all_56_7 = e3 & op(e1, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6420) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6421) all_56_7 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (5744),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6409), (6421) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2147.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6422) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (376), (3633), (5744),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264), (6422), (function-axioms) are inconsistent
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1571.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6423) all_56_3 = e3 & op(e2, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6406), (6423) are inconsistent by
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2262.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6424) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6424) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6425) all_56_7 = e3 & op(e1, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6425) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6426) all_56_7 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6427) op(e1, e2) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6428) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6428) gives:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6429) all_56_4 = e3 & op(e3, e1) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (134), (135), (136), (162), (169), (203),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (261), (275), (5469), (5470), (5471),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361), (6370), (6373), (6427), (6429),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #967.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6430) all_56_5 = e3 & op(e2, e1) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6430) implies:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6431) all_56_5 = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6432) op(e2, e1) = e3
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (85), (91), (110),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (120), (123), (126), (133),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (136), (141), (143), (145), (146), (149),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (165), (167), (168),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (193), (194), (196), (197), (200),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (206), (207), (208), (210),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (216), (217), (218), (219),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (236),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (253), (262), (263), (272), (273), (274),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (306), (336), (338), (352), (366), (370),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3633), (3634), (5468), (5469), (5471),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5472), (5475), (5744), (6271), (6285), (6426),
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6427), (6431), (6432), (function-axioms) are
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #957.
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6433) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (376), (3633), (5471), (6263), (6433),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3167.
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6434) all_56_13 = e3 & op(e0, e2) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6434) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6435) all_56_13 = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6436) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6436) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6437) all_56_4 = e3 & op(e3, e1) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6437) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6438) op(e3, e1) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (134), (135), (136), (169), (203), (251),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (275), (5469), (5470), (5471), (6301),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361), (6373), (6438), (function-axioms) are
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2066.
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6439) all_56_5 = e3 & op(e2, e1) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6439) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6440) all_56_5 = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (216), (217),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (222), (223), (224), (226), (227),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (233), (236), (376), (3625),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5471), (5744), (6435), (6440),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1125.
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6441) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (207), (208), (376), (3633),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6435), (6441), (function-axioms) are inconsistent
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2526.
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6442) ~ (all_54_8 = e3)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6443) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (262), (6442) imply:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6444) ~ (all_52_2 = e3)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6443) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6445) all_54_8 = e2
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (6445) imply:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6446) all_52_2 = e2
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6446) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6447) all_52_2 = e2
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6447) imply:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6448) ~ (all_52_1 = e2)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (6447) imply:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6449) ~ (all_52_6 = e2)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6449) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6450) ~ (all_52_6 = e2)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6444), (6447) imply:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6451) ~ (e3 = e2)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6452) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6452) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6453) all_56_6 = e2 & op(e1, e3) = e2
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6453) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6454) all_56_6 = e2
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6455) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6455) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6456) all_56_0 = e3 & op(e3, e3) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6456) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6457) op(e3, e3) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6260), (6457), (function-axioms) are
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3246.
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6458) all_56_2 = e3 & op(e2, e3) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6458) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6459) all_56_2 = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6460) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6460) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6461) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (6300), (6448), (6461),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3446.
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6462) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6462) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6463) all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) = all_57_3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & $i(all_57_1) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6463) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6464) op(e3, e2) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6465) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6465) gives:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6466) all_56_4 = e3 & op(e3, e1) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6466) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6467) op(e3, e1) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (134), (135), (136), (169), (170), (195),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (251), (261), (275), (5469), (5470),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (6301), (6361), (6464), (6467),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2065.
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6468) all_56_5 = e3 & op(e2, e1) = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6468) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6469) all_56_5 = e3
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (5744),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6459), (6469) are inconsistent by sub-proof
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2809.
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6470) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (376), (3633), (5471), (6263), (6470),
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3167.
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6471) all_57_13 = e1 & ~ (all_57_3 = e3) & ~
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & ~ (all_57_27 = e0) & op(e2,
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_27)
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6471) implies:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6472) op(e1, e2) = e1
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6301), (6472), (function-axioms) are
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3411.
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.55/49.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6473) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6473) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6474) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6305), (6474), (function-axioms) are inconsistent
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3443.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6475) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (158), (160), (168), (194), (338), (370),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3625), (3634), (5471), (5475), (6285),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290), (6475), (function-axioms) are inconsistent
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #964.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6476) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6476) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6477) all_56_6 = e3 & op(e1, e3) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6454), (6477) are inconsistent by sub-proof
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2241.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6478) all_56_12 = e3 & op(e0, e3) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6478) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6479) all_56_12 = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (207), (208), (3633),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271), (6479) are inconsistent by sub-proof
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2516.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6480) all_56_7 = e2 & op(e1, e2) = e2
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6480) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481) all_56_7 = e2
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6482) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6482) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6483) all_56_1 = e3 & op(e3, e2) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6483) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484) op(e3, e2) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (170), (195), (261), (5470), (6301),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6450), (6484), (function-axioms) are inconsistent
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2694.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6485) all_56_3 = e3 & op(e2, e2) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6485) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6486) all_56_3 = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5744), (6486) are inconsistent by sub-proof
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3373.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6487) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6487) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6488) all_56_7 = e3 & op(e1, e2) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6481), (6488) are inconsistent by sub-proof
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3086.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6489) all_56_13 = e3 & op(e0, e2) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6489) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6490) all_56_13 = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6491) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6491) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6492) all_56_12 = e2 & op(e0, e3) = e2
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6492) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6493) all_56_12 = e2
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6494) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6494) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6495) all_56_0 = e3 & op(e3, e3) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6495) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6496) op(e3, e3) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (216), (217),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (376), (3625), (3633),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5744), (6490), (6496), (function-axioms)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1123.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6497) all_56_2 = e3 & op(e2, e3) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6497) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6498) all_56_2 = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (207), (231), (3633), (6259),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271), (6490), (6493), (6498) are inconsistent by
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1672.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6499) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6499) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6500) all_56_6 = e3 & op(e1, e3) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6500) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6501) all_56_6 = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6502) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6502) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6503) all_56_12 = e1 & op(e0, e3) = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6503) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6504) all_56_12 = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6493), (6504) imply:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6505) e2 = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6481), (6505) imply:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6506) all_56_7 = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6490), (6506), (function-axioms) are
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1176.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6507) all_56_13 = e1 & op(e0, e2) = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6490), (6507) are inconsistent by sub-proof
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3339.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6508) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6508) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6509) all_56_14 = e1 & op(e0, e1) = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6509) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6510) all_56_14 = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6271), (6510) imply:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6511) e1 = e0
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6511) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6512) e1 = e0
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6351), (6512) imply:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513) all_56_8 = e0
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6514) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) all_56_6 = e1 & op(e1, e3) = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6501), (6515) are inconsistent by sub-proof
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3293.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) all_56_7 = e1 & op(e1, e2) = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6516) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) all_56_7 = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6490), (6517), (function-axioms) are
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1176.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6518) gives:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6350), (6513) are inconsistent by sub-proof
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3057.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) all_56_11 = e1 & op(e1, e0) = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6519) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) all_56_11 = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6278), (6520) are inconsistent by sub-proof
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3088.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) all_56_15 = e1 & op(e0, e0) = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6521) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6522) all_56_15 = e1
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (6522) are inconsistent by sub-proof
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3193.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6523) all_56_12 = e3 & op(e0, e3) = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6523) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6524) all_56_12 = e3
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (207), (3633), (6271), (6490), (6524)
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1330.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6525) all_56_13 = e2 & op(e0, e2) = e2
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6525) implies:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6526) all_56_13 = e2
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6490), (6526) are inconsistent by sub-proof
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3266.
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6527) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6527) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6528) all_56_14 = e2 & op(e0, e1) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6528) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529) all_56_14 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6271), (6529) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6530) e2 = e0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6481), (6530) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6531) all_56_7 = e0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6490), (6531) are inconsistent by
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2926.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6532) all_56_15 = e2 & op(e0, e0) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3633), (6532) are inconsistent by sub-proof
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6533) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) all_56_8 = e2 & op(e1, e1) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6534) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) op(e1, e1) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6305), (6535), (function-axioms) are
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) all_56_11 = e2 & op(e1, e0) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6536) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) all_56_11 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6278), (6537) are inconsistent by sub-proof
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3114.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) all_54_8 = e1 | all_54_8 = e0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (6282), (6300), (6538) are inconsistent by
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2255.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) all_56_14 = e1 & op(e0, e1) = e1
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6271), (6539) are inconsistent by sub-proof
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | #3169.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | (6540) all_54_10 = e0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (6285), (6540) are inconsistent by
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | (6541) all_36_2 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | (6542) ( ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (6541) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | (6543) all_6_2 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | SIMP: (6543) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | (6544) all_6_2 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (6544) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | (6545) all_40_2 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (6544) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | (6546) ~ (all_52_2 = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (6544) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | (6547) ~ (all_52_6 = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (6544) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | (6548) ~ (all_52_8 = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (6544) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | (6549) op(e1, e1) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | (6550) ~ (all_40_2 = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6545), (6550) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | (6551) $false
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6551) is inconsistent.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | (6552) ( ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | (6553) ~ (all_48_2 = e0)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5467), (6553) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | (6554) $false
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6554) is inconsistent.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | (6555) ( ~ (all_48_0 = e1) & op(e2, all_48_1) = all_48_0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | (6556) ~ (all_50_2 = e0)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6253), (6556) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | (6557) $false
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6557) is inconsistent.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | (6558) ( ~ (all_50_0 = e1) & op(e3, all_50_1) = all_50_0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | (6559) all_54_7 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3626), (6559) are inconsistent by
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2952.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | (6560) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) all_54_13 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (6561) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) all_52_7 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3623), (6562) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) $false
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6563) is inconsistent.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) all_54_12 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (3622), (6565) are inconsistent by
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3005.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) ~ (all_54_12 = e3)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) all_54_3 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (3625), (6568) are inconsistent by
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3145.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) ~ (all_54_3 = e3)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) all_54_8 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (6571) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6572) all_52_2 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6572) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6573) all_52_2 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (6573) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6574) ~ (all_52_6 = e3)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6574) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6575) ~ (all_52_6 = e3)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576) all_54_9 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (6575), (6576) are inconsistent by
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2980.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6577) ~ (all_54_9 = e3)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6578) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6578) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6579) all_54_9 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (6547), (6579) are inconsistent by
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2979.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6580) ~ (all_54_9 = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6581) all_54_9 = e1 | all_54_9 = e0
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6582) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6582) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6583) all_56_2 = e3 & op(e2, e3) = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6583) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6584) all_56_2 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6585) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (6260), (6584), (6585),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2712.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6586) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6586) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6587) all_56_6 = e2 & op(e1, e3) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6587) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6588) all_56_6 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (222), (223), (224), (376), (3633),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6264), (6278), (6549), (6588),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1529.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6589) all_56_12 = e2 & op(e0, e3) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6589) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6590) all_56_12 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6591) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6591) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6592) all_56_6 = e1 & op(e1, e3) = e1
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6592) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6593) all_56_6 = e1
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (222), (223), (224), (261), (376),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5470), (5744), (6264), (6575), (6581),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6593), (function-axioms) are inconsistent by
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #955.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6594) all_56_7 = e1 & op(e1, e2) = e1
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6594) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6595) all_56_7 = e1
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6596) op(e1, e2) = e1
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6597) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6597) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6598) all_56_6 = e3 & op(e1, e3) = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6598) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6599) all_56_6 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6600) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6600) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6601) all_56_2 = e2 & op(e2, e3) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6601) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6602) all_56_2 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6584), (6602) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6603) e3 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6599), (6603) imply:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6604) all_56_6 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (222), (223), (224), (376), (3633),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6264), (6278), (6549), (6604),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1529.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6605) all_56_3 = e2 & op(e2, e2) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5744), (6605) are inconsistent by sub-proof
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3378.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6606) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6606) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6607) all_56_5 = e2 & op(e2, e1) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (216), (217),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (232), (233), (234), (235),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3633), (5471), (5744), (6259), (6260),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263), (6264), (6271), (6278), (6549), (6607),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #953.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6608) all_56_10 = e2 & op(e2, e0) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6608) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6609) all_56_10 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6610) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6610) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6611) all_56_9 = e1 & op(e3, e0) = e1
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6611) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6612) all_56_9 = e1
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6613) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6613) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6614) all_56_0 = e2 & op(e3, e3) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6614) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6615) op(e3, e3) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (6584),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6590), (6615), (function-axioms) are inconsistent
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2423.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6616) all_56_1 = e2 & op(e3, e2) = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6616) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6617) all_56_1 = e2
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6618) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6618) gives:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6619) all_56_1 = e3 & op(e3, e2) = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6619) implies:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6620) all_56_1 = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (220), (222), (223), (224),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (376), (3625), (3633),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5744), (6584), (6620), (function-axioms)
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1238.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621) all_56_3 = e3 & op(e2, e2) = e3
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (5744),
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6584), (6609), (6621) are inconsistent by
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1090.
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.60/49.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6622) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6623) all_56_7 = e3 & op(e1, e2) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6623) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6624) op(e1, e2) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6596), (6624), (function-axioms) are
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6625) all_56_13 = e3 & op(e0, e2) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6625) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626) all_56_13 = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (3633), (5471), (5744),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6590), (6617), (6626), (function-axioms) are
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2167.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6627) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (218), (220), (376), (3633), (5471),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263), (6271), (6549), (6612), (6627),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #952.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628) all_56_10 = e1 & op(e2, e0) = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6628) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629) all_56_10 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6609), (6629) are inconsistent by sub-proof
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3212.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6630) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6630) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6631) all_56_11 = e1 & op(e1, e0) = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6631) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632) all_56_11 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6278), (6632) imply:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6633) e1 = e0
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6633) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6634) e1 = e0
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6595), (6634) imply:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6635) all_56_7 = e0
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6635) are inconsistent by sub-proof
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3252.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6636) all_56_15 = e1 & op(e0, e0) = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6636) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6637) all_56_15 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3633), (6637) imply:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638) e3 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (222), (223), (224), (261), (376),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5470), (5744), (6264), (6575), (6581),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6599), (6638), (function-axioms) are inconsistent
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #951.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6639) all_56_7 = e3 & op(e1, e2) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6639) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6640) op(e1, e2) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6596), (6640), (function-axioms) are
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6641) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (376), (3633), (5744),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264), (6641), (function-axioms) are inconsistent
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1571.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6642) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6278), (6549), (6642),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3087.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6643) all_56_3 = e3 & op(e2, e2) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6643) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6644) all_56_3 = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5744), (6644) are inconsistent by sub-proof
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3373.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6645) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6646) all_56_5 = e3 & op(e2, e1) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6646) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6647) all_56_5 = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6648) op(e2, e1) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6649) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6649) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6650) all_56_6 = e1 & op(e1, e3) = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6650) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6651) all_56_6 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (222), (223), (224), (261), (376),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5470), (5744), (6264), (6575), (6581),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6651), (function-axioms) are inconsistent by
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #955.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652) all_56_7 = e1 & op(e1, e2) = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6652) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6653) all_56_7 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654) op(e1, e2) = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6655) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6656) all_56_6 = e3 & op(e1, e3) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6656) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657) all_56_6 = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658) op(e1, e3) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6581) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6659) all_54_9 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6659) imply:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6660) all_52_6 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6660) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661) all_52_6 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6661) imply:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6662) ~ (all_52_4 = e1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6661) imply:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6663) ~ (all_52_7 = e1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6663) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664) ~ (all_52_7 = e1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6575), (6661) imply:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6665) ~ (e3 = e1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6547), (6661) imply:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6666) ~ (e2 = e1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6542) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667) ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0 &
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6667) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) op(e1, e2) = all_36_1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6552) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0 &
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_40_1 & $i(all_40_0) &
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6669) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) op(e1, e2) = all_40_1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (91),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (120), (123), (126),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (141), (143), (145),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (158), (160), (162), (163), (164),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (193), (194),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (200), (201), (202), (203), (206),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (213), (214), (215),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (222), (223),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (240), (241),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (251), (253), (261), (262), (263), (272),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366), (370), (376), (3618), (3633), (3634),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465), (5468), (5469), (5470), (5471), (5472),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (6255), (6259), (6260),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263), (6264), (6271), (6278), (6279), (6283),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285), (6288), (6548), (6549), (6555), (6558),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560), (6564), (6570), (6575), (6581), (6647),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6648), (6653), (6654), (6657), (6658), (6662),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664), (6668), (6670), (function-axioms) are
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #930.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) ~ (all_40_1 = e3) & op(e1, e2) = all_40_1 &
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6671) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) op(e1, e2) = all_40_1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (91),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (120), (123), (126),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (141), (143), (145),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (158), (160), (162), (163), (164),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (193), (194),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (200), (201), (202), (203), (206),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (213), (214), (215),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (222), (223),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (240), (241),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (251), (253), (261), (262), (263), (272),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (306), (336), (338), (352),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366), (370), (376), (3618), (3633), (3634),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465), (5468), (5469), (5470), (5471), (5472),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (6255), (6259), (6260),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263), (6264), (6271), (6278), (6279), (6283),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285), (6288), (6548), (6549), (6555), (6558),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560), (6564), (6570), (6575), (6581), (6647),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6648), (6653), (6654), (6657), (6658), (6662),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664), (6668), (6672), (function-axioms) are
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #930.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6673) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) ~ (all_36_1 = e0)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) op(e1, e2) = all_36_1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6552) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0 &
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_40_1 & $i(all_40_0) &
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6676) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) op(e1, e2) = all_40_1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6678) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) all_56_1 = e3 & op(e3, e2) = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6679) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) all_56_1 = e3
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6681) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) all_56_12 = e1 & op(e0, e3) = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6682) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) op(e0, e3) = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6684) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) all_56_4 = e1 & op(e3, e1) = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6685) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) all_56_4 = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) op(e3, e1) = e1
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (222), (223), (224), (376), (3633),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6264), (6278), (6549), (6657), (6680),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688), (function-axioms) are inconsistent by
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #950.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6689) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) all_56_7 = e2 & op(e1, e2) = e2
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6653), (6690) are inconsistent by sub-proof
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2121.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) all_56_13 = e2 & op(e0, e2) = e2
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6691) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) all_56_13 = e2
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (228), (5744), (6260), (6653),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692), (6693), (function-axioms) are inconsistent
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #949.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6694) gives:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) all_56_4 = e2 & op(e3, e1) = e2
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6695) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696) all_56_4 = e2
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (6271), (6549), (6647),
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696), (function-axioms) are inconsistent by
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2469.
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6697) all_56_9 = e2 & op(e3, e0) = e2
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6697) implies:
% 251.60/49.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698) all_56_9 = e2
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699) op(e3, e0) = e2
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6700) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6700) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6701) all_56_9 = e1 & op(e3, e0) = e1
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (222), (223), (224), (227), (376),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5744), (6264), (6278), (6549), (6653),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657), (6680), (6692), (6698), (6701),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #947.
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6702) all_56_10 = e1 & op(e2, e0) = e1
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6702) implies:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703) all_56_10 = e1
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704) op(e2, e0) = e1
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6705) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6705) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706) all_56_2 = e2 & op(e2, e3) = e2
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6706) implies:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6707) all_56_2 = e2
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708) op(e2, e3) = e2
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6564) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6709) all_54_13 = e2
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (6709) imply:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6710) all_52_7 = e2
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6710) imply:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6711) ~ (all_52_4 = e2)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (6710) imply:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6712) op(e0, e2) = e2
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713) all_54_1 = e3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (6713) imply:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6714) all_52_4 = e3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6714) implies:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6715) all_52_4 = e3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6715) imply:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716) ~ (all_52_8 = e3)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6716) implies:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717) ~ (all_52_8 = e3)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6715) imply:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718) ~ (all_52_12 = e3)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6719) all_54_2 = e3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (6717), (6719) are inconsistent by
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2837.
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6720) ~ (all_54_2 = e3)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6721) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722) (all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_9 & $i(all_57_9)) |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = all_57_11 & op(all_57_11, e2) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e2) = all_57_11 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (91),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (120), (123), (126),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (136), (141), (143), (145), (146),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (158), (160), (162), (163), (165), (167),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (193), (194), (196), (197),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (206), (207), (208),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (213), (214), (215), (216), (217),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (241), (253), (262), (263),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (273), (274), (275), (306), (336), (338),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352), (366), (370), (376), (3625), (3633),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5468), (5469), (5471), (5472),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (6255), (6271), (6279),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283), (6285), (6548), (6549), (6555), (6560),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570), (6647), (6648), (6686), (6687), (6704),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717), (6721), (6722), (function-axioms) are
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #945.
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6723) (all_57_12 = all_57_13 & op(all_57_13, e1) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_14 = all_57_15 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_15, e0) = all_57_15 & op(e0, e2) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15))
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6723) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6724) all_57_12 = all_57_13 & op(all_57_13, e1) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 & $i(all_57_13)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6549), (6558), (6654), (6675), (6677),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699), (6724), (function-axioms) are inconsistent
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #943.
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6725) all_57_14 = all_57_15 & op(all_57_15, e0) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = all_57_15 & $i(all_57_15)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6725) implies:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6726) op(e0, e2) = all_57_15
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6727) op(all_57_15, e0) = all_57_15
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6728) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6728) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6729) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6687), (6729), (function-axioms) are inconsistent
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2768.
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6730) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6730) gives:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731) all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) = all_57_3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & $i(all_57_1) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6731) implies:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6732) ~ (all_57_19 = e1)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6733) ~ (all_57_11 = e2)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6734) ~ (all_57_3 = e3)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6735) op(e2, e0) = all_57_27
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) op(e2, e1) = all_57_19
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) op(e2, e2) = all_57_11
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) op(e2, e3) = all_57_3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (218), (222), (223), (242), (3618),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465), (5475), (5744), (6260), (6271), (6279),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288), (6549), (6555), (6558), (6647), (6648),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654), (6658), (6674), (6675), (6677), (6683),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686), (6699), (6704), (6707), (6708), (6712),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717), (6726), (6727), (6732), (6733), (6734),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6735), (6736), (6737), (6738), (function-axioms)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #923.
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) all_57_13 = e1 & ~ (all_57_3 = e3) & ~
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & ~ (all_57_27 = e0) & op(e2,
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_27)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6739) implies:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) ~ (all_57_19 = e1)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6741) ~ (all_57_11 = e2)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6742) ~ (all_57_3 = e3)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743) op(e2, e0) = all_57_27
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6744) op(e2, e1) = all_57_19
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6745) op(e2, e2) = all_57_11
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) op(e2, e3) = all_57_3
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (218), (222), (223), (242), (3618),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465), (5475), (5744), (6260), (6271), (6279),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288), (6549), (6555), (6558), (6647), (6648),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654), (6658), (6674), (6675), (6677), (6683),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686), (6699), (6704), (6707), (6708), (6712),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717), (6726), (6727), (6740), (6741), (6742),
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743), (6744), (6745), (6746), (function-axioms)
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #923.
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (158), (168), (169), (218),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3634), (5465), (5471), (5475), (6271),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279), (6549), (6555), (6647), (6648), (6686),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704), (6717), (6747), (function-axioms) are
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #946.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (5469), (6662), (6711), (6748) are
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2662.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6749) all_54_13 = e1 | all_54_13 = e0
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (5471), (6664), (6749) are inconsistent by
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2965.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) all_56_3 = e2 & op(e2, e2) = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (211), (3633), (5744), (6278),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698), (6703), (6750) are inconsistent by
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1344.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (216), (217),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (232), (233), (234), (235),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3633), (5471), (5744), (6259), (6260),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263), (6264), (6271), (6278), (6549), (6653),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657), (6680), (6692), (6703), (6751),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #937.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (218), (222), (223), (224), (261),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3633), (5470), (5744), (6264), (6271),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278), (6549), (6575), (6581), (6647), (6657),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686), (6752), (function-axioms) are inconsistent
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #936.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) all_56_5 = e1 & op(e2, e1) = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (222), (223), (224), (261), (376),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5470), (5744), (6264), (6575), (6581),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6647), (6657), (6753), (function-axioms) are
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #935.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6271), (6549), (6653), (6754),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #933.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) all_56_13 = e1 & op(e0, e2) = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6755) implies:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) all_56_13 = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (222), (223), (224), (227), (376),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5744), (6264), (6278), (6549), (6653),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657), (6680), (6756), (function-axioms) are
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #948.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6757) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) all_56_14 = e1 & op(e0, e1) = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6271), (6653), (6758) are inconsistent by
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #934.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6759) all_56_15 = e1 & op(e0, e0) = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (222), (223), (224), (261), (376),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5470), (5744), (6264), (6575), (6581),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657), (6759), (function-axioms) are inconsistent
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #932.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6760) all_56_3 = e3 & op(e2, e2) = e3
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6760) implies:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6761) all_56_3 = e3
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5744), (6761) are inconsistent by sub-proof
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3373.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6762) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (222), (223), (224), (229), (231), (3633),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5744), (6271), (6647), (6654), (6657),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6762), (function-axioms) are inconsistent by
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #931.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6763) ~ (all_40_1 = e3) & op(e1, e2) = all_40_1 &
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6763) implies:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6764) ~ (all_40_1 = e3)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6765) op(e1, e2) = all_40_1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6766) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6766) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767) all_56_1 = e3 & op(e3, e2) = e3
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6767) implies:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6768) all_56_1 = e3
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6769) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6769) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6770) all_56_12 = e1 & op(e0, e3) = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6770) implies:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6771) op(e0, e3) = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6772) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6772) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6773) all_56_4 = e1 & op(e3, e1) = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6773) implies:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774) all_56_4 = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6775) op(e3, e1) = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6776) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (222), (223), (224), (376), (3633),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6264), (6278), (6549), (6657), (6768),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6776), (function-axioms) are inconsistent by
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #950.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6777) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6777) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6778) all_56_7 = e2 & op(e1, e2) = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6653), (6778) are inconsistent by sub-proof
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2121.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) all_56_13 = e2 & op(e0, e2) = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6779) implies:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) all_56_13 = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (228), (5744), (6260), (6653),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780), (6781), (function-axioms) are inconsistent
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #949.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6782) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783) all_56_4 = e2 & op(e3, e1) = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6783) implies:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784) all_56_4 = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (6271), (6549), (6647),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784), (function-axioms) are inconsistent by
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2469.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6785) all_56_9 = e2 & op(e3, e0) = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6785) implies:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786) all_56_9 = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787) op(e3, e0) = e2
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6788) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6788) gives:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6789) all_56_9 = e1 & op(e3, e0) = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (222), (223), (224), (227), (376),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5744), (6264), (6278), (6549), (6653),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657), (6768), (6780), (6786), (6789),
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #947.
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790) all_56_10 = e1 & op(e2, e0) = e1
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6790) implies:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6791) all_56_10 = e1
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792) op(e2, e0) = e1
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6793) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6793) gives:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6794) all_56_2 = e2 & op(e2, e3) = e2
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6794) implies:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6795) all_56_2 = e2
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6796) op(e2, e3) = e2
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6564) gives:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6797) all_54_13 = e2
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (6797) imply:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6798) all_52_7 = e2
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6798) imply:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799) ~ (all_52_4 = e2)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (6798) imply:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6800) op(e0, e2) = e2
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6801) all_54_1 = e3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (6801) imply:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6802) all_52_4 = e3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6802) implies:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6803) all_52_4 = e3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6803) imply:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6804) ~ (all_52_8 = e3)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6804) implies:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805) ~ (all_52_8 = e3)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6803) imply:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6806) ~ (all_52_12 = e3)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6807) all_54_2 = e3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (6805), (6807) are inconsistent by
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2837.
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6808) ~ (all_54_2 = e3)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6810) (all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_9 & $i(all_57_9)) |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = all_57_11 & op(all_57_11, e2) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e2) = all_57_11 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (91),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (120), (123), (126),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (136), (141), (143), (145), (146),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (158), (160), (162), (163), (165), (167),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (193), (194), (196), (197),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (206), (207), (208),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (213), (214), (215), (216), (217),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (241), (253), (262), (263),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (273), (274), (275), (306), (336), (338),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352), (366), (370), (376), (3625), (3633),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5465), (5468), (5469), (5471), (5472),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473), (5475), (5744), (6255), (6271), (6279),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283), (6285), (6548), (6549), (6555), (6560),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570), (6647), (6648), (6774), (6775), (6792),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805), (6809), (6810), (function-axioms) are
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #945.
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6811) (all_57_12 = all_57_13 & op(all_57_13, e1) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_14 = all_57_15 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_15, e0) = all_57_15 & op(e0, e2) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15))
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6811) gives:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812) all_57_12 = all_57_13 & op(all_57_13, e1) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 & $i(all_57_13)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6549), (6558), (6654), (6675), (6765),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787), (6812), (function-axioms) are inconsistent
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #943.
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6813) all_57_14 = all_57_15 & op(all_57_15, e0) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = all_57_15 & $i(all_57_15)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6813) implies:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6814) op(e0, e2) = all_57_15
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6815) op(all_57_15, e0) = all_57_15
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6816) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6816) gives:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6817) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6775), (6817), (function-axioms) are inconsistent
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2768.
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6818) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6818) gives:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6819) all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) = all_57_3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & $i(all_57_1) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6819) implies:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6820) ~ (all_57_11 = e2)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6821) ~ (all_57_3 = e3)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6822) op(e2, e0) = all_57_27
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6823) op(e2, e2) = all_57_11
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6824) op(e2, e3) = all_57_3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (218), (222), (223), (242), (3618),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465), (5475), (5744), (6260), (6271), (6279),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288), (6549), (6555), (6558), (6647), (6654),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658), (6674), (6675), (6764), (6765), (6771),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774), (6787), (6792), (6795), (6796), (6800),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805), (6814), (6815), (6820), (6821), (6822),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6823), (6824), (function-axioms) are inconsistent
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #918.
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6825) all_57_13 = e1 & ~ (all_57_3 = e3) & ~
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & ~ (all_57_27 = e0) & op(e2,
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_27)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6825) implies:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6826) ~ (all_57_11 = e2)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827) ~ (all_57_3 = e3)
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828) op(e2, e0) = all_57_27
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829) op(e2, e2) = all_57_11
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6830) op(e2, e3) = all_57_3
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (218), (222), (223), (242), (3618),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465), (5475), (5744), (6260), (6271), (6279),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288), (6549), (6555), (6558), (6647), (6654),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658), (6674), (6675), (6764), (6765), (6771),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774), (6787), (6792), (6795), (6796), (6800),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805), (6814), (6815), (6826), (6827), (6828),
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829), (6830), (function-axioms) are inconsistent
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #918.
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (158), (168), (169), (218),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625), (3634), (5465), (5471), (5475), (6271),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279), (6549), (6555), (6647), (6648), (6774),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792), (6805), (6831), (function-axioms) are
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #946.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6832) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (5469), (6662), (6799), (6832) are
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2662.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6833) all_54_13 = e1 | all_54_13 = e0
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (5471), (6664), (6833) are inconsistent by
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2965.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6834) all_56_3 = e2 & op(e2, e2) = e2
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (211), (3633), (5744), (6278),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786), (6791), (6834) are inconsistent by
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1344.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6835) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (216), (217),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (232), (233), (234), (235),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3633), (5471), (5744), (6259), (6260),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263), (6264), (6271), (6278), (6549), (6653),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657), (6768), (6780), (6791), (6835),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #937.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (218), (222), (223), (224), (261),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3633), (5470), (5744), (6264), (6271),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278), (6549), (6575), (6581), (6647), (6657),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774), (6836), (function-axioms) are inconsistent
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #936.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6837) all_56_5 = e1 & op(e2, e1) = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (222), (223), (224), (261), (376),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5470), (5744), (6264), (6575), (6581),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6647), (6657), (6837), (function-axioms) are
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #935.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6838) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6271), (6549), (6653), (6838),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #933.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6839) all_56_13 = e1 & op(e0, e2) = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6839) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6840) all_56_13 = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (222), (223), (224), (227), (376),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5744), (6264), (6278), (6549), (6653),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657), (6768), (6840), (function-axioms) are
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #948.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6841) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6841) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6842) all_56_14 = e1 & op(e0, e1) = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6271), (6653), (6842) are inconsistent by
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #934.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6843) all_56_15 = e1 & op(e0, e0) = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (222), (223), (224), (261), (376),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5470), (5744), (6264), (6575), (6581),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657), (6843), (function-axioms) are inconsistent
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #932.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6844) all_56_3 = e3 & op(e2, e2) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6844) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6845) all_56_3 = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5744), (6845) are inconsistent by sub-proof
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3373.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6846) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6846) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6847) all_56_7 = e3 & op(e1, e2) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6847) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6848) op(e1, e2) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6764), (6765), (6848), (function-axioms) are
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2912.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849) all_56_13 = e3 & op(e0, e2) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6849) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850) all_56_13 = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (222), (223), (224), (229), (231), (3633),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5744), (6271), (6647), (6657), (6850),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1127.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6851) all_54_9 = e0
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (5470), (6851) are inconsistent by
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2697.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6852) all_56_7 = e3 & op(e1, e2) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6852) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6853) op(e1, e2) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6654), (6853), (function-axioms) are
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6854) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (376), (3633), (5744),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264), (6854), (function-axioms) are inconsistent
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1571.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6278), (6549), (6855),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #917.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6856) all_56_10 = e3 & op(e2, e0) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6856) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6857) all_56_10 = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6858) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6858) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6859) all_56_6 = e1 & op(e1, e3) = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6859) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860) all_56_6 = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (222), (223), (224), (261), (376),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5470), (5744), (6264), (6575), (6581),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860), (function-axioms) are inconsistent by
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #955.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) all_56_7 = e1 & op(e1, e2) = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6861) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862) all_56_7 = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863) op(e1, e2) = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6864) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6864) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6865) all_56_6 = e3 & op(e1, e3) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6865) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866) all_56_6 = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6867) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6867) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868) all_56_9 = e1 & op(e3, e0) = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6868) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869) all_56_9 = e1
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6870) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6870) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6871) all_56_0 = e2 & op(e3, e3) = e2
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6871) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6872) op(e3, e3) = e2
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6260), (6872), (function-axioms) are
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6873) all_56_1 = e2 & op(e3, e2) = e2
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6873) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6874) all_56_1 = e2
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6875) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6875) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6876) all_56_0 = e3 & op(e3, e3) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6876) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6877) op(e3, e3) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6260), (6877), (function-axioms) are
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3246.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6878) all_56_1 = e3 & op(e3, e2) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6878) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6879) all_56_1 = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6874), (6879) imply:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6880) e3 = e2
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6880) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6881) e3 = e2
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6866), (6881) imply:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6882) all_56_6 = e2
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (222), (223), (224), (376), (3633),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6264), (6278), (6549), (6882),
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1529.
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6883) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6883) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6884) all_56_4 = e3 & op(e3, e1) = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6884) implies:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6885) all_56_4 = e3
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6886) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6886) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6887) all_56_2 = e2 & op(e2, e3) = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6887) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6888) all_56_2 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6889) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6889) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6890) all_56_1 = e3 & op(e3, e2) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6890) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6891) all_56_1 = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6892) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6892) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6893) all_56_0 = e3 & op(e3, e3) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6893) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6894) all_56_0 = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6870) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6895) all_56_0 = e2 & op(e3, e3) = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6895) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6896) all_56_0 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6897) op(e3, e3) = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6894), (6896) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6898) e3 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6885), (6898) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6899) all_56_4 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (230), (232), (6874), (6897),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6899), (function-axioms) are inconsistent by
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1044.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6873), (6891) are inconsistent by sub-proof
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2621.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6900) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6885), (6891), (6900) are inconsistent by
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2116.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6901) all_56_2 = e3 & op(e2, e3) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6901) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6902) all_56_2 = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (168), (206),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (215), (216),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (376), (3625), (3633),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6885), (6891), (6902), (function-axioms)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1570.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6903) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6903) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (206), (207),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (214), (215), (216),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (3625), (3633), (5744),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271), (6857), (6866), (6885), (6891),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #956.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6904) all_56_12 = e3 & op(e0, e3) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6904) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6905) all_56_12 = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (207), (208), (3633),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271), (6905) are inconsistent by sub-proof
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2516.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6906) all_56_3 = e3 & op(e2, e2) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6906) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6907) all_56_3 = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5744), (6907) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6908) e3 = e0
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6908) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6909) e3 = e0
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6857), (6909) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6910) all_56_10 = e0
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (5744),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6888), (6910) are inconsistent by sub-proof
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3043.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6911) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6911) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6912) all_56_7 = e3 & op(e1, e2) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6912) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6913) op(e1, e2) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (210), (211), (214),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (6278), (6549), (6857), (6866), (6869),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6913), (function-axioms) are inconsistent by
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1525.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6914) all_56_13 = e3 & op(e0, e2) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6914) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6915) all_56_13 = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6874), (6915), (function-axioms) are
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1197.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6916) all_56_3 = e2 & op(e2, e2) = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6916) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6917) all_56_3 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5744), (6917) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6918) e2 = e0
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6918) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6919) e2 = e0
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6874), (6919) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6920) all_56_1 = e0
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6920), (function-axioms) are inconsistent
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2914.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6921) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6921) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) all_56_5 = e2 & op(e2, e1) = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6922) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6923) all_56_5 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (216), (217),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (222), (223), (224), (226), (227),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (232), (233), (234), (235), (376),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5471), (5744), (6259), (6260), (6263),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264), (6271), (6278), (6549), (6885), (6923),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #954.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6924) all_56_10 = e2 & op(e2, e0) = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6924) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6925) all_56_10 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6857), (6925) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6926) e3 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6885), (6926) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927) all_56_4 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (218), (220), (376), (3633), (5471),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263), (6271), (6549), (6927), (function-axioms)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1214.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6928) all_56_9 = e3 & op(e3, e0) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6928) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6929) op(e3, e0) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3625), (6929), (function-axioms) are
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6930) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (218), (220), (376), (3633), (5471),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263), (6271), (6549), (6869), (6930),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #952.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6931) all_56_10 = e1 & op(e2, e0) = e1
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6931) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6932) all_56_10 = e1
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6857), (6932) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6933) e3 = e1
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (222), (223), (224), (261), (376),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5470), (5744), (6264), (6575), (6581),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866), (6933), (function-axioms) are inconsistent
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #951.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6934) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6934) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6935) all_56_11 = e1 & op(e1, e0) = e1
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6935) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6936) all_56_11 = e1
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6278), (6936) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6937) e1 = e0
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6862), (6937) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6938) all_56_7 = e0
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744), (6938) are inconsistent by sub-proof
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3252.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6939) all_56_15 = e1 & op(e0, e0) = e1
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (216), (222), (223), (224), (261), (376),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5470), (5744), (6264), (6575), (6581),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866), (6939), (function-axioms) are inconsistent
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #932.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6940) all_56_7 = e3 & op(e1, e2) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6940) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6941) op(e1, e2) = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6863), (6941), (function-axioms) are
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6942) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (211),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (376), (3633), (5744),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264), (6942), (function-axioms) are inconsistent
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1571.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6943) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6278), (6549), (6943),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #917.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6944) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6944) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6945) all_54_8 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (6546), (6945) are inconsistent by
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2699.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6946) all_54_8 = e1 | all_54_8 = e0
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6946) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6947) all_54_8 = e1
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (6947) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6948) all_52_2 = e1
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6948) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6949) all_52_2 = e1
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (6949) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6950) ~ (all_52_3 = e1)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6950) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6951) ~ (all_52_3 = e1)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (6949) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6952) ~ (all_52_6 = e1)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6952) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6953) ~ (all_52_6 = e1)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6954) all_54_9 = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6954) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6955) all_52_6 = e3
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6955) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6956) ~ (all_52_4 = e3)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6567) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6957) all_54_12 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (6957) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6958) all_52_3 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6958) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6959) ~ (all_52_1 = e2)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3622), (6958) imply:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6960) ~ (e3 = e2)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6961) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (5744), (6959), (6961),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3300.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6962) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6962) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6963) all_56_5 = e2 & op(e2, e1) = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (216), (217),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (232), (233), (234), (235),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3633), (5471), (5744), (6259), (6260),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263), (6264), (6271), (6278), (6549), (6963),
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #953.
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6964) all_56_10 = e2 & op(e2, e0) = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6964) implies:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6965) all_56_10 = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6966) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6966) gives:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6967) all_56_12 = e2 & op(e0, e3) = e2
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6967) implies:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6968) all_56_12 = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (141), (158),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (167), (168), (170), (207), (208), (210),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (222), (223), (224), (229), (231),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (241), (262), (376), (3625), (3633),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (5471), (5475), (5744), (6263), (6271),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279), (6282), (6549), (6946), (6956), (6959),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6965), (6968), (function-axioms) are inconsistent
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #915.
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6969) all_56_13 = e2 & op(e0, e2) = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6969) implies:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6970) all_56_13 = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6971) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6971) gives:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6972) all_56_9 = e1 & op(e3, e0) = e1
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6972) implies:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6973) all_56_9 = e1
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6974) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6974) gives:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975) all_56_0 = e2 & op(e3, e3) = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6975) implies:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6976) op(e3, e3) = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6260), (6976), (function-axioms) are
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6977) all_56_1 = e2 & op(e3, e2) = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6977) implies:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6978) all_56_1 = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (5744),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6970), (6978) are inconsistent by sub-proof
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2990.
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6979) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6979) gives:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6980) all_56_4 = e2 & op(e3, e1) = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6980) implies:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6981) all_56_4 = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (218), (220), (376), (3633), (5471),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263), (6271), (6549), (6981), (function-axioms)
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1214.
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6982) all_56_9 = e2 & op(e3, e0) = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6982) implies:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6983) all_56_9 = e2
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6973), (6983) imply:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6984) e2 = e1
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (141), (158),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (167), (168), (170), (206), (207), (208),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (214), (216), (217), (218), (219),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (262), (376), (3625), (3633), (3634),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5475), (5744), (6259), (6260), (6263),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264), (6271), (6278), (6279), (6282), (6549),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6946), (6956), (6959), (6970), (6984),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #913.
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6985) all_56_10 = e1 & op(e2, e0) = e1
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6985) implies:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6986) all_56_10 = e1
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6965), (6986) imply:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987) e2 = e1
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (141), (158),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (167), (168), (170), (206), (207), (208),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (214), (216), (217), (218), (219),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (262), (376), (3625), (3633), (3634),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471), (5475), (5744), (6259), (6260), (6263),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264), (6271), (6278), (6279), (6282), (6549),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6946), (6956), (6959), (6970), (6987),
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #913.
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 251.60/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (141), (160), (262), (3633), (6282), (6946),
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988), (function-axioms) are inconsistent by
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #916.
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6989) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5744), (6271), (6965), (6989) are
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #914.
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6990) all_54_12 = e1 | all_54_12 = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (6254), (6951), (6990) are inconsistent by
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3002.
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6991) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (5470), (6547), (6953), (6991) are
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2695.
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6992) all_54_8 = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (6282), (6992) are inconsistent by
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2555.
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | (6993) all_56_1 = e0 & op(e3, e2) = e0
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | ALPHA: (6993) implies:
% 251.80/49.32 | | | | | | | | | | | | | | (6994) all_56_1 = e0
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 251.80/49.32 | | | | | | | | | | | | | | (208), (226), (227), (228), (3633), (5471),
% 251.80/49.32 | | | | | | | | | | | | | | (5744), (6994), (function-axioms) are inconsistent
% 251.80/49.32 | | | | | | | | | | | | | | by sub-proof #2914.
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | (6995) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 251.80/49.32 | | | | | | | | | | | | | & op(e3, e0) = e0)
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | BETA: splitting (6995) gives:
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | (6996) all_56_4 = e0 & op(e3, e1) = e0
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | ALPHA: (6996) implies:
% 251.80/49.32 | | | | | | | | | | | | | | (6997) all_56_4 = e0
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 251.80/49.32 | | | | | | | | | | | | | | (206), (207), (208), (218), (219), (220), (376),
% 251.80/49.32 | | | | | | | | | | | | | | (3633), (5471), (6254), (6997), (function-axioms)
% 251.80/49.32 | | | | | | | | | | | | | | are inconsistent by sub-proof #3165.
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | (6998) all_56_9 = e0 & op(e3, e0) = e0
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | REF_CLOSE: (168), (6255), (6998), (function-axioms) are
% 251.80/49.32 | | | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | End of split
% 251.80/49.32 | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | (6999) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 251.80/49.32 | | | | | | | | | | e0 & op(e0, e2) = e0)
% 251.80/49.32 | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | BETA: splitting (6999) gives:
% 251.80/49.32 | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | (7000) all_56_7 = e0 & op(e1, e2) = e0
% 251.80/49.32 | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | ALPHA: (7000) implies:
% 251.80/49.32 | | | | | | | | | | | (7001) all_56_7 = e0
% 251.80/49.32 | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | BETA: splitting (228) gives:
% 251.80/49.32 | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | (7002) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 251.80/49.32 | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.80/49.32 | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | BETA: splitting (7002) gives:
% 251.80/49.32 | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | (7003) all_56_1 = e3 & op(e3, e2) = e3
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | ALPHA: (7003) implies:
% 251.80/49.32 | | | | | | | | | | | | | (7004) all_56_1 = e3
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.80/49.32 | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.80/49.32 | | | | | | | | | | | | | (216), (218), (219), (220), (221), (222), (223),
% 251.80/49.32 | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.80/49.32 | | | | | | | | | | | | | (232), (233), (234), (235), (236), (376), (3625),
% 251.80/49.32 | | | | | | | | | | | | | (3633), (5471), (5475), (7001), (7004),
% 251.80/49.32 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.32 | | | | | | | | | | | | | #1221.
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | (7005) all_56_3 = e3 & op(e2, e2) = e3
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | ALPHA: (7005) implies:
% 251.80/49.32 | | | | | | | | | | | | | (7006) all_56_3 = e3
% 251.80/49.32 | | | | | | | | | | | | | (7007) op(e2, e2) = e3
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | BETA: splitting (216) gives:
% 251.80/49.32 | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | (7008) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 251.80/49.32 | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | BETA: splitting (7008) gives:
% 251.80/49.32 | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | (7009) all_56_6 = e3 & op(e1, e3) = e3
% 251.80/49.32 | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | ALPHA: (7009) implies:
% 251.80/49.32 | | | | | | | | | | | | | | | (7010) all_56_6 = e3
% 251.80/49.32 | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 251.80/49.32 | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | (7011) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 251.80/49.32 | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | BETA: splitting (7011) gives:
% 251.80/49.32 | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | (7012) all_56_2 = e0 & op(e2, e3) = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | ALPHA: (7012) implies:
% 251.80/49.32 | | | | | | | | | | | | | | | | | (7013) all_56_2 = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 251.80/49.32 | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | (7014) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 251.80/49.32 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 251.80/49.32 | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | BETA: splitting (7014) gives:
% 251.80/49.32 | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | (7015) all_56_0 = e1 & op(e3, e3) = e1
% 251.80/49.32 | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | ALPHA: (7015) implies:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | (7016) all_56_0 = e1
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | (7017) op(e3, e3) = e1
% 251.80/49.32 | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | (7018) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7013), (7017), (7018),
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | #1777.
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | (7019) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7019) gives:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | (7020) all_56_6 = e2 & op(e1, e3) = e2
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7010), (7020) are inconsistent by sub-proof
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | #3238.
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | (7021) all_56_12 = e2 & op(e0, e3) = e2
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7021) implies:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | (7022) all_56_12 = e2
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | (7023) all_56_15 = e0 & op(e0, e0) = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | (3633), (7001), (7006), (7023) are inconsistent by
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | sub-proof #912.
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | (7024) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7024) implies:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | (7025) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7025) gives:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | (7026) all_56_12 = e0 & op(e0, e3) = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7026) implies:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | (7027) all_56_12 = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (7010), (7013), (7017),
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | (7027), (function-axioms) are inconsistent by
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1776.
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | (7028) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7028) gives:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | (7029) all_56_13 = e0 & op(e0, e2) = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7029) implies:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | (7030) op(e0, e2) = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5471), (7030), (function-axioms) are
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | (7031) all_56_14 = e0 & op(e0, e1) = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7031) implies:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | (7032) all_56_14 = e0
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | (7033) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7033) gives:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (7034) all_56_12 = e1 & op(e0, e3) = e1
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7034) implies:
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (7035) all_56_12 = e1
% 251.80/49.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (220), (221), (222), (223),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (376), (3625),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5471), (5475), (7001), (7006), (7007),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7013), (7035), (function-axioms) are
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7036) all_56_13 = e1 & op(e0, e2) = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7036) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7037) all_56_13 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7038) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7038) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7039) all_56_1 = e2 & op(e3, e2) = e2
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7039) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) all_56_1 = e2
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7041) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) all_56_0 = e3 & op(e3, e3) = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7042) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) op(e3, e3) = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7017), (7043), (function-axioms) are
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) all_56_1 = e3 & op(e3, e2) = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7044) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) all_56_1 = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (220), (221), (222), (223),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (376), (3625),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5471), (5475), (7001), (7037), (7045),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1229.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7046) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7047) all_56_4 = e3 & op(e3, e1) = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7047) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048) all_56_4 = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7049) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050) all_56_0 = e0 & op(e3, e3) = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7016), (7050) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2619.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7051) all_56_1 = e0 & op(e3, e2) = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (7010), (7013), (7017),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7022), (7040), (7051), (function-axioms) are
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #909.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7052) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7052) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7053) all_56_4 = e0 & op(e3, e1) = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7053) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054) all_56_4 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (218), (219), (220), (376), (3633), (5471),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025), (7032), (7054), (function-axioms) are
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3166.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7055) all_56_9 = e0 & op(e3, e0) = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7055) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7056) all_56_9 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7057) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e2,
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (5475), (7007) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7058) e3 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7006), (7058) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7059) all_56_3 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (227), (228),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (7001), (7022), (7032), (7040), (7059) are
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1198.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7060) all_56_1 = e1 & op(e3, e2) = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7060) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061) all_56_1 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7040), (7061) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7062) e2 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7022), (7062) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7063) all_56_12 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (220), (221), (222), (223),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (376), (3625),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5471), (5475), (7001), (7006), (7007),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7013), (7063), (function-axioms) are
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (7048), (7056), (7064) are inconsistent
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2491.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065) all_56_9 = e3 & op(e3, e0) = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7065) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7066) op(e3, e0) = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3625), (7066), (function-axioms) are
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7067) all_56_3 = e2 & op(e2, e2) = e2
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7067) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7068) all_56_3 = e2
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7006), (7068) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2607.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7069) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7069) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7070) all_56_7 = e2 & op(e1, e2) = e2
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7070) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7071) all_56_7 = e2
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7001), (7071) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072) e2 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7022), (7072) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073) all_56_12 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (7010), (7013), (7017),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073), (function-axioms) are inconsistent by
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1776.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7074) all_56_13 = e2 & op(e0, e2) = e2
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7074) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7075) all_56_13 = e2
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7037), (7075) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7076) e2 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7022), (7076) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7077) all_56_12 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (220), (221), (222), (223),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (376), (3625),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633), (5471), (5475), (7001), (7006), (7007),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7013), (7077), (function-axioms) are
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | (7078) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7078) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7079) all_56_14 = e1 & op(e0, e1) = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7032), (7079) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | #3222.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7080) all_56_15 = e1 & op(e0, e0) = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3633), (7080) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | | #3276.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7081) all_56_2 = e1 & op(e2, e3) = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | ALPHA: (7081) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7082) all_56_2 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7013), (7082) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | #3394.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | (7083) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 251.80/49.33 | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | BETA: splitting (7083) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7084) all_56_6 = e1 & op(e1, e3) = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | ALPHA: (7084) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7085) all_56_6 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7010), (7085) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | #3244.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7086) all_56_12 = e1 & op(e0, e3) = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | ALPHA: (7086) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7087) all_56_12 = e1
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (216), (218), (219), (220), (221), (222), (223),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (230), (231),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (376), (3625),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (3633), (5471), (5475), (7001), (7006), (7007),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7010), (7013), (7087), (function-axioms) are
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | (7088) all_56_3 = e0 & op(e2, e2) = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | ALPHA: (7088) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | (7089) all_56_3 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.80/49.33 | | | | | | | | | | | | | | | | | (7001), (7089) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | #3252.
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | (7090) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 251.80/49.33 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 251.80/49.33 | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | BETA: splitting (7090) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | (7091) all_56_5 = e0 & op(e2, e1) = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | ALPHA: (7091) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | (7092) all_56_5 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | (7093) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | BETA: splitting (7093) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7094) all_56_2 = e3 & op(e2, e3) = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | ALPHA: (7094) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7095) all_56_2 = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (7006),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7092), (7095) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | #2343.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e2,
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | e2, simplifying with (5475), (7007) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7096) e3 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7006), (7096) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7097) all_56_3 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7001), (7097) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | #3252.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | (7098) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 251.80/49.33 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | BETA: splitting (7098) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7099) all_56_5 = e3 & op(e2, e1) = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | ALPHA: (7099) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7100) all_56_5 = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7092), (7100) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7101) e3 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | SIMP: (7101) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7102) e3 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7006), (7102) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7103) all_56_3 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7001), (7103) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | #3252.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7104) all_56_10 = e3 & op(e2, e0) = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | ALPHA: (7104) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7105) all_56_10 = e3
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (7006),
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | (7092), (7105), (function-axioms) are inconsistent
% 251.80/49.33 | | | | | | | | | | | | | | | | | | | by sub-proof #1520.
% 251.80/49.33 | | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | (7106) all_56_10 = e0 & op(e2, e0) = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | ALPHA: (7106) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | | | (7107) all_56_10 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e2,
% 251.80/49.33 | | | | | | | | | | | | | | | | | e2, simplifying with (5475), (7007) gives:
% 251.80/49.33 | | | | | | | | | | | | | | | | | (7108) e3 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7006), (7108) imply:
% 251.80/49.33 | | | | | | | | | | | | | | | | | (7109) all_56_3 = e0
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 251.80/49.33 | | | | | | | | | | | | | | | | | (7107), (7109) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | | | | | #3038.
% 251.80/49.33 | | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | (7110) all_56_7 = e3 & op(e1, e2) = e3
% 251.80/49.33 | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | ALPHA: (7110) implies:
% 251.80/49.33 | | | | | | | | | | | | | | | (7111) all_56_7 = e3
% 251.80/49.33 | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 251.80/49.33 | | | | | | | | | | | | | | | (7001), (7006), (7111) are inconsistent by
% 251.80/49.33 | | | | | | | | | | | | | | | sub-proof #1474.
% 251.80/49.33 | | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | (7112) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 251.80/49.33 | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 251.80/49.33 | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 251.80/49.33 | | | | | | | | | | | | | | (211), (222), (223), (224), (376), (3633), (7006),
% 251.80/49.33 | | | | | | | | | | | | | | (7112), (function-axioms) are inconsistent by
% 251.80/49.33 | | | | | | | | | | | | | | sub-proof #1649.
% 251.80/49.33 | | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | End of split
% 251.80/49.33 | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | (7113) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 251.80/49.33 | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 251.80/49.33 | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | BETA: splitting (7113) gives:
% 251.80/49.33 | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | Case 1:
% 251.80/49.33 | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | (7114) all_56_7 = e3 & op(e1, e2) = e3
% 251.80/49.33 | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | ALPHA: (7114) implies:
% 251.80/49.33 | | | | | | | | | | | | | (7115) all_56_7 = e3
% 251.80/49.33 | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | REF_CLOSE: (7), (7001), (7115) are inconsistent by sub-proof
% 251.80/49.33 | | | | | | | | | | | | | #3341.
% 251.80/49.33 | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | Case 2:
% 251.80/49.33 | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | (7116) all_56_13 = e3 & op(e0, e2) = e3
% 251.80/49.33 | | | | | | | | | | | | |
% 251.80/49.33 | | | | | | | | | | | | | ALPHA: (7116) implies:
% 251.80/49.33 | | | | | | | | | | | | | (7117) all_56_13 = e3
% 251.80/49.33 | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 251.80/49.34 | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 251.80/49.34 | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 251.80/49.34 | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 251.80/49.34 | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (376),
% 251.80/49.34 | | | | | | | | | | | | | (3625), (3633), (5471), (5475), (7001), (7117),
% 251.80/49.34 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.34 | | | | | | | | | | | | | #1182.
% 251.80/49.34 | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | End of split
% 251.80/49.34 | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | End of split
% 251.80/49.34 | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | (7118) all_56_13 = e0 & op(e0, e2) = e0
% 251.80/49.34 | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | ALPHA: (7118) implies:
% 251.80/49.34 | | | | | | | | | | | (7119) op(e0, e2) = e0
% 251.80/49.34 | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | REF_CLOSE: (158), (5471), (7119), (function-axioms) are
% 251.80/49.34 | | | | | | | | | | | inconsistent by sub-proof #3460.
% 251.80/49.34 | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | End of split
% 251.80/49.34 | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | End of split
% 251.80/49.34 | | | | | | | | |
% 251.80/49.34 | | | | | | | | End of split
% 251.80/49.34 | | | | | | | |
% 251.80/49.34 | | | | | | | End of split
% 251.80/49.34 | | | | | | |
% 251.80/49.34 | | | | | | End of split
% 251.80/49.34 | | | | | |
% 251.80/49.34 | | | | | End of split
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | Case 2:
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | | (7120) all_10_2 = e1
% 251.80/49.34 | | | | | (7121) ( ~ (all_10_0 = e0) & op(e3, all_10_1) = all_10_0 & op(e3,
% 251.80/49.34 | | | | | e1) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~
% 251.80/49.34 | | | | | (all_10_1 = e2) & op(e3, e1) = all_10_1 & $i(all_10_1))
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | | COMBINE_EQS: (303), (7120) imply:
% 251.80/49.34 | | | | | (7122) all_38_2 = e1
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | | REDUCE: (340), (7120) imply:
% 251.80/49.34 | | | | | (7123) ~ (all_52_1 = e1)
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | | REDUCE: (342), (7120) imply:
% 251.80/49.34 | | | | | (7124) ~ (all_52_2 = e1)
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | | REDUCE: (344), (7120) imply:
% 251.80/49.34 | | | | | (7125) ~ (all_52_3 = e1)
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | | REDUCE: (346), (7120) imply:
% 251.80/49.34 | | | | | (7126) ~ (all_52_4 = e1)
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | | REDUCE: (348), (7120) imply:
% 251.80/49.34 | | | | | (7127) ~ (all_52_8 = e1)
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | | REDUCE: (350), (7120) imply:
% 251.80/49.34 | | | | | (7128) ~ (all_52_12 = e1)
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | | BETA: splitting (231) gives:
% 251.80/49.34 | | | | |
% 251.80/49.34 | | | | | Case 1:
% 251.80/49.34 | | | | | |
% 251.80/49.34 | | | | | | (7129) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 &
% 251.80/49.34 | | | | | | op(e2, e3) = e1)
% 251.80/49.34 | | | | | |
% 251.80/49.34 | | | | | | BETA: splitting (7129) gives:
% 251.80/49.34 | | | | | |
% 251.80/49.34 | | | | | | Case 1:
% 251.80/49.34 | | | | | | |
% 251.80/49.34 | | | | | | | (7130) all_56_0 = e1 & op(e3, e3) = e1
% 251.80/49.34 | | | | | | |
% 251.80/49.34 | | | | | | | ALPHA: (7130) implies:
% 251.80/49.34 | | | | | | | (7131) all_56_0 = e1
% 251.80/49.34 | | | | | | | (7132) op(e3, e3) = e1
% 251.80/49.34 | | | | | | |
% 251.80/49.34 | | | | | | | BETA: splitting (49) gives:
% 251.80/49.34 | | | | | | |
% 251.80/49.34 | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | |
% 251.80/49.34 | | | | | | | | (7133) ~ (all_12_2 = e3)
% 251.80/49.34 | | | | | | | |
% 251.80/49.34 | | | | | | | | REDUCE: (334), (7133) imply:
% 251.80/49.34 | | | | | | | | (7134) ~ (all_4_2 = e3)
% 251.80/49.34 | | | | | | | |
% 251.80/49.34 | | | | | | | | BETA: splitting (52) gives:
% 251.80/49.34 | | | | | | | |
% 251.80/49.34 | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | |
% 251.80/49.34 | | | | | | | | | (7135) ~ (all_14_2 = e0)
% 251.80/49.34 | | | | | | | | |
% 251.80/49.34 | | | | | | | | | REDUCE: (333), (7135) imply:
% 251.80/49.34 | | | | | | | | | (7136) ~ (all_8_2 = e0)
% 251.80/49.34 | | | | | | | | |
% 251.80/49.34 | | | | | | | | | BETA: splitting (58) gives:
% 251.80/49.34 | | | | | | | | |
% 251.80/49.34 | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | (7137) ~ (all_18_2 = e0)
% 251.80/49.34 | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | REDUCE: (328), (7137) imply:
% 251.80/49.34 | | | | | | | | | | (7138) ~ (all_6_2 = e0)
% 251.80/49.34 | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | BETA: splitting (61) gives:
% 251.80/49.34 | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | (7139) ~ (all_20_2 = e1)
% 251.80/49.34 | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | REDUCE: (322), (7139) imply:
% 251.80/49.34 | | | | | | | | | | | (7140) ~ (all_4_2 = e1)
% 251.80/49.34 | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | BETA: splitting (189) gives:
% 251.80/49.34 | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | (7141) all_54_15 = e3
% 251.80/49.34 | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | REF_CLOSE: (249), (7134), (7141) are inconsistent by
% 251.80/49.34 | | | | | | | | | | | | sub-proof #3475.
% 251.80/49.34 | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | (7142) ~ (all_54_15 = e3)
% 251.80/49.34 | | | | | | | | | | | | (7143) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 251.80/49.34 | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | BETA: splitting (7143) gives:
% 251.80/49.34 | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | (7144) all_54_15 = e2
% 251.80/49.34 | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | REF_CLOSE: (249), (375), (7144) are inconsistent by sub-proof
% 251.80/49.34 | | | | | | | | | | | | | #3474.
% 251.80/49.34 | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | (7145) all_54_15 = e1 | all_54_15 = e0
% 251.80/49.34 | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | BETA: splitting (7145) gives:
% 251.80/49.34 | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | (7146) all_54_15 = e1
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | REF_CLOSE: (249), (7140), (7146) are inconsistent by
% 251.80/49.34 | | | | | | | | | | | | | | sub-proof #3473.
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | (7147) all_54_15 = e0
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | COMBINE_EQS: (249), (7147) imply:
% 251.80/49.34 | | | | | | | | | | | | | | (7148) all_4_2 = e0
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | SIMP: (7148) implies:
% 251.80/49.34 | | | | | | | | | | | | | | (7149) all_4_2 = e0
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | REDUCE: (353), (7149) imply:
% 251.80/49.34 | | | | | | | | | | | | | | (7150) ~ (all_52_3 = e0)
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | REDUCE: (364), (7149) imply:
% 251.80/49.34 | | | | | | | | | | | | | | (7151) ~ (all_52_7 = e0)
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | REDUCE: (371), (7149) imply:
% 251.80/49.34 | | | | | | | | | | | | | | (7152) ~ (all_52_11 = e0)
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | REDUCE: (373), (7149) imply:
% 251.80/49.34 | | | | | | | | | | | | | | (7153) ~ (all_52_13 = e0)
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | REDUCE: (7134), (7149) imply:
% 251.80/49.34 | | | | | | | | | | | | | | (7154) ~ (e3 = e0)
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 251.80/49.34 | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | (7155) all_56_15 = e0 & op(e0, e0) = e0
% 251.80/49.34 | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | ALPHA: (7155) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | (7156) all_56_15 = e0
% 251.80/49.34 | | | | | | | | | | | | | | | (7157) op(e0, e0) = e0
% 251.80/49.34 | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 251.80/49.34 | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | (7158) ~ (all_22_2 = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | REDUCE: (326), (7158) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | (7159) ~ (all_8_2 = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | REF_CLOSE: (42), (157), (158), (159), (163), (164), (165),
% 251.80/49.34 | | | | | | | | | | | | | | | | (167), (199), (241), (271), (351), (360), (362),
% 251.80/49.34 | | | | | | | | | | | | | | | | (377), (7124), (7132), (7136), (7150), (7151),
% 251.80/49.34 | | | | | | | | | | | | | | | | (7152), (7157), (7159), (function-axioms) are
% 251.80/49.34 | | | | | | | | | | | | | | | | inconsistent by sub-proof #906.
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | (7160) all_22_2 = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | (7161) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 251.80/49.34 | | | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 251.80/49.34 | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (7160) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | (7162) all_8_2 = e1
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | SIMP: (7162) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | (7163) all_8_2 = e1
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (7163) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | (7164) all_30_2 = e1
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | REDUCE: (358), (7163) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | (7165) ~ (all_52_7 = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | REDUCE: (362), (7163) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | (7166) ~ (all_52_13 = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | REDUCE: (377), (7163) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | (7167) ~ (e3 = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | REDUCE: (42), (7163) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | (7168) op(e2, e2) = e1
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | (7169) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 251.80/49.34 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | BETA: splitting (7169) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | (7170) all_56_9 = e1 & op(e3, e0) = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7128), (7170), (function-axioms) are
% 251.80/49.34 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 251.80/49.34 | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | (7171) all_56_10 = e1 & op(e2, e0) = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7166), (7171), (function-axioms) are
% 251.80/49.34 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 251.80/49.34 | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | End of split
% 251.80/49.34 | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | (7172) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 251.80/49.34 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | BETA: splitting (7172) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | (7173) all_56_11 = e1 & op(e1, e0) = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | ALPHA: (7173) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | (7174) all_56_11 = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | | | (7175) op(e1, e0) = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | (7176) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (7125), (7165), (7176),
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | #3076.
% 251.80/49.34 | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | (7177) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (7177) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | (7178) all_56_14 = e1 & op(e0, e1) = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | ALPHA: (7178) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | (7179) op(e0, e1) = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (7179) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | (7180) all_52_11 = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (7175) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | (7181) all_52_14 = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7181) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | (7182) ~ (all_52_6 = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (7180) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | (7183) ~ (all_52_9 = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (7181) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | (7184) ~ (all_6_2 = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | SIMP: (7184) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | (7185) ~ (all_6_2 = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | (7186) all_54_10 = e3
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (7186) are inconsistent by sub-proof
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | #3450.
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | (7187) ~ (all_54_10 = e3)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | (7188) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7188) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | (7189) all_54_10 = e2
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (7189) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | (7190) all_6_2 = e2
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7190) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | (7191) all_6_2 = e2
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (7191) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | (7192) ~ (all_52_8 = e2)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (7191) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | (7193) ~ (all_52_9 = e2)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (7191) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | (7194) ~ (e3 = e2)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | (7195) ~ (all_30_2 = e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7164), (7195) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | (7196) $false
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7196) is inconsistent.
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | (7197) ( ~ (all_30_0 = e0) & op(e2, all_30_1) = all_30_0
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | (7198) all_54_3 = e3
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (7198) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | (7199) all_52_12 = e3
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7199) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | (7200) all_52_12 = e3
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (7200) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | (7201) ~ (all_52_4 = e3)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (7200) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | (7202) ~ (all_52_8 = e3)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (7200) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | (7203) ~ (all_52_13 = e3)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7203) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | (7204) ~ (all_52_13 = e3)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | (7205) all_54_7 = e3
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (7204), (7205) are inconsistent by
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2952.
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | (7206) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (7207) all_54_2 = e3
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (7202), (7207) are inconsistent by
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2837.
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (7208) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7206) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7209) all_54_7 = e2
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (7209) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7210) all_52_13 = e2
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7210) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7211) all_52_13 = e2
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7211) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7212) ~ (all_52_1 = e2)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7208) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7213) all_54_2 = e2
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (7192), (7213) are inconsistent by
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2432.
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7214) all_54_2 = e1 | all_54_2 = e0
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7214) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7215) all_54_2 = e1
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (7127), (7215) are inconsistent by
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2683.
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7216) all_54_2 = e0
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (7216) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7217) all_52_8 = e0
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7217) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7218) all_52_8 = e0
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (7218) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7219) ~ (all_52_9 = e0)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7219) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7220) ~ (all_52_9 = e0)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7221) all_54_6 = e3
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (7221) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222) all_52_9 = e3
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7222) implies:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7223) all_52_9 = e3
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7223) imply:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7224) ~ (all_52_1 = e3)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7225) all_54_4 = e3
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (7224), (7225) are inconsistent by
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3359.
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7226) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7226) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7227) all_54_4 = e2
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (7212), (7227) are inconsistent by
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3355.
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7228) ~ (all_54_4 = e2)
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229) all_54_4 = e1 | all_54_4 = e0
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7230) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7230) gives:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (7124), (7212), (7231),
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3446.
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7232) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (170), (7182), (7201), (7232),
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3410.
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7233) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7233) gives:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7234) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7234) gives:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7235) all_57_17 = e3 & ~ (all_57_1 = e1) & ~ (all_57_5
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & op(e3, e3) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e1) = e3 & op(e1, e3) = all_57_5
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_13 & op(e1, e1) = all_57_21
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_29 & $i(all_57_1) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_13) & $i(all_57_21) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7235) implies:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7236) op(e3, e1) = e3
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (146), (169), (198), (264), (272), (7123),
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7183), (7193), (7229), (7236), (function-axioms)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2971.
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7237) all_57_19 = e2 & ~ (all_57_5 = e3) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e1) & ~ (all_57_13 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e2,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1, e3) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & $i(all_57_5)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7168), (7237), (function-axioms) are inconsistent
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3409.
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7238) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (7150), (7151), (7152),
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7157), (7179), (7238), (function-axioms) are
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2439.
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7239) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (7183), (7193), (7220), (7239) are
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3126.
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7240) all_54_7 = e1 | all_54_7 = e0
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (7153), (7166), (7240) are inconsistent by
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2795.
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | (7241) ~ (all_54_3 = e3)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (7241) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | (7242) ~ (all_52_12 = e3)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (42), (165), (168),
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | (212), (221), (223), (7136), (7157), (7161),
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | (7168), (7174), (7193), (7197), (7242),
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | #897.
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | (7243) all_54_10 = e1 | all_54_10 = e0
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (7138), (7185), (7243) are inconsistent by
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2866.
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | (7244) all_56_15 = e1 & op(e0, e0) = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (7244) implies:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | (7245) all_56_15 = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7156), (7245) are inconsistent by sub-proof
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | #2474.
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7246) all_56_15 = e1 & op(e0, e0) = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | ALPHA: (7246) implies:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7247) all_56_15 = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7156), (7247) are inconsistent by sub-proof
% 251.80/49.36 | | | | | | | | | | | | | | | | | | #2474.
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | (7248) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 251.80/49.36 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 251.80/49.36 | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 251.80/49.36 | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 251.80/49.36 | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | ALPHA: (7248) implies:
% 251.80/49.36 | | | | | | | | | | | | | | | (7249) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 251.80/49.36 | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 251.80/49.36 | | | | | | | | | | | | | | | e1) = e0)
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (7150), (7151), (7152),
% 251.80/49.36 | | | | | | | | | | | | | | | (7249), (function-axioms) are inconsistent by
% 251.80/49.36 | | | | | | | | | | | | | | | sub-proof #3078.
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | (7250) all_20_2 = e1
% 251.80/49.36 | | | | | | | | | | | (7251) ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0
% 251.80/49.36 | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 251.80/49.36 | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 251.80/49.36 | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | COMBINE_EQS: (322), (7250) imply:
% 251.80/49.36 | | | | | | | | | | | (7252) all_4_2 = e1
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | COMBINE_EQS: (311), (7252) imply:
% 251.80/49.36 | | | | | | | | | | | (7253) all_34_2 = e1
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | REDUCE: (364), (7252) imply:
% 251.80/49.36 | | | | | | | | | | | (7254) ~ (all_52_7 = e1)
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | REDUCE: (373), (7252) imply:
% 251.80/49.36 | | | | | | | | | | | (7255) ~ (all_52_13 = e1)
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | REDUCE: (374), (7252) imply:
% 251.80/49.36 | | | | | | | | | | | (7256) ~ (all_52_14 = e1)
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | REDUCE: (7134), (7252) imply:
% 251.80/49.36 | | | | | | | | | | | (7257) ~ (e3 = e1)
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | REDUCE: (375), (7252) imply:
% 251.80/49.36 | | | | | | | | | | | (7258) ~ (e2 = e1)
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | BETA: splitting (210) gives:
% 251.80/49.36 | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | (7259) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 251.80/49.36 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.80/49.36 | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | BETA: splitting (7259) gives:
% 251.80/49.36 | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | (7260) all_56_9 = e1 & op(e3, e0) = e1
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | REF_CLOSE: (168), (7128), (7260), (function-axioms) are
% 251.80/49.36 | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | (7261) all_56_10 = e1 & op(e2, e0) = e1
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | REF_CLOSE: (164), (7255), (7261), (function-axioms) are
% 251.80/49.36 | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | (7262) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 251.80/49.36 | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 251.80/49.36 | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | BETA: splitting (7262) gives:
% 251.80/49.36 | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | (7263) all_56_11 = e1 & op(e1, e0) = e1
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | ALPHA: (7263) implies:
% 251.80/49.36 | | | | | | | | | | | | | (7264) op(e1, e0) = e1
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | REF_CLOSE: (160), (7256), (7264), (function-axioms) are
% 251.80/49.36 | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | (7265) all_56_15 = e1 & op(e0, e0) = e1
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | ALPHA: (7265) implies:
% 251.80/49.36 | | | | | | | | | | | | | (7266) all_56_15 = e1
% 251.80/49.36 | | | | | | | | | | | | | (7267) op(e0, e0) = e1
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | BETA: splitting (64) gives:
% 251.80/49.36 | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | (7268) ~ (all_22_2 = e1)
% 251.80/49.36 | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | REDUCE: (326), (7268) imply:
% 251.80/49.36 | | | | | | | | | | | | | | (7269) ~ (all_8_2 = e1)
% 251.80/49.36 | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 251.80/49.36 | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | (7270) all_54_5 = e3
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | REF_CLOSE: (271), (377), (7270) are inconsistent by sub-proof
% 251.80/49.36 | | | | | | | | | | | | | | | #3472.
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | (7271) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 251.80/49.36 | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | (7272) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 251.80/49.36 | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | BETA: splitting (7272) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | (7273) all_56_1 = e1 & op(e3, e2) = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (7126), (7273), (function-axioms) are
% 251.80/49.36 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #896.
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | (7274) all_56_3 = e1 & op(e2, e2) = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | ALPHA: (7274) implies:
% 251.80/49.36 | | | | | | | | | | | | | | | | | (7275) op(e2, e2) = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | BETA: splitting (7271) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7276) all_54_5 = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (7276) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7277) all_8_2 = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | REDUCE: (42), (7277) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7278) op(e2, e2) = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7275), (7278), (function-axioms) are
% 251.80/49.36 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7279) all_54_5 = e1 | all_54_5 = e0
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (7136), (7269), (7279) are inconsistent by
% 251.80/49.36 | | | | | | | | | | | | | | | | | | sub-proof #3433.
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | End of split
% 251.80/49.36 | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | (7280) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 251.80/49.36 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 251.80/49.36 | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | BETA: splitting (7280) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | (7281) all_56_7 = e1 & op(e1, e2) = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | ALPHA: (7281) implies:
% 251.80/49.36 | | | | | | | | | | | | | | | | | (7282) op(e1, e2) = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | BETA: splitting (7271) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7283) all_54_5 = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (7283) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7284) all_8_2 = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | REDUCE: (351), (7284) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7285) ~ (all_52_1 = e2)
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | REDUCE: (358), (7284) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7286) ~ (all_52_7 = e2)
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | REDUCE: (362), (7284) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7287) ~ (all_52_13 = e2)
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | REDUCE: (42), (7284) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | (7288) op(e2, e2) = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | (7289) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (7123), (7288), (7289),
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | #894.
% 251.80/49.36 | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | (7290) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (7290) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | (7291) all_56_5 = e1 & op(e2, e1) = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (7291) implies:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | (7292) op(e2, e1) = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (7282) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | (7293) all_52_6 = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7292) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | (7294) all_52_9 = e1
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7293) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | (7295) ~ (all_52_14 = e1)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (7294) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | (7296) ~ (all_6_2 = e1)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | SIMP: (7296) implies:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | (7297) ~ (all_6_2 = e1)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | (7298) all_54_10 = e3
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (7298) are inconsistent by sub-proof
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | #3450.
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | (7299) ~ (all_54_10 = e3)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | (7300) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7300) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | (7301) all_54_10 = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (7301) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | (7302) all_6_2 = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7302) implies:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | (7303) all_6_2 = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (7303) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | (7304) ~ (e3 = e2)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (7303) imply:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | (7305) op(e1, e1) = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | (7306) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7306) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | (7307) all_56_9 = e2 & op(e3, e0) = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7307) implies:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | (7308) op(e3, e0) = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | (7309) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7309) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (7310) all_56_12 = e2 & op(e0, e3) = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7310) implies:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (7311) op(e0, e3) = e2
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7312) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7312) gives:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7313) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (7124), (7285), (7313),
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3446.
% 251.80/49.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7314) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7292), (7314), (function-axioms) are inconsistent
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2105.
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7315) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7315) gives:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7316) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7132), (7292), (7316), (function-axioms) are
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #893.
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7317) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7317) gives:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7318) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7318) implies:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7319) op(e3, e0) = e3
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e0,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (7308), (7319) gives:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7320) e3 = e2
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (7320) imply:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7321) $false
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7321) is inconsistent.
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7322) gives:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7323) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7323) implies:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7324) op(e2, e0) = e2
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7287), (7324), (function-axioms) are
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7325) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7325) implies:
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326) op(e0, e0) = all_57_31
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7327) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (7256), (7267), (7292), (7311),
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326), (7327), (function-axioms) are inconsistent
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #892.
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7328) all_56_13 = e2 & op(e0, e2) = e2
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7328) implies:
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7329) op(e0, e2) = e2
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (7286), (7329), (function-axioms) are
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3070.
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7330) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (7266), (7305), (7330),
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | #891.
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | (7331) all_56_10 = e2 & op(e2, e0) = e2
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7331) implies:
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | (7332) op(e2, e0) = e2
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7287), (7332), (function-axioms) are
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | (7333) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | (216), (376), (7266), (7305), (7333),
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | | #889.
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | (7334) all_54_10 = e1 | all_54_10 = e0
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (7138), (7297), (7334) are inconsistent by
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2866.
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | (7335) all_56_10 = e1 & op(e2, e0) = e1
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7255), (7335), (function-axioms) are
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.38 | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | (7336) all_54_5 = e1 | all_54_5 = e0
% 251.80/49.38 | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (7136), (7269), (7336) are inconsistent by
% 251.80/49.38 | | | | | | | | | | | | | | | | | | sub-proof #3433.
% 251.80/49.38 | | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | Case 2:
% 251.80/49.38 | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | (7337) all_56_13 = e1 & op(e0, e2) = e1
% 251.80/49.38 | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | ALPHA: (7337) implies:
% 251.80/49.38 | | | | | | | | | | | | | | | | | (7338) op(e0, e2) = e1
% 251.80/49.38 | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (7254), (7338), (function-axioms) are
% 251.80/49.38 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3152.
% 251.80/49.38 | | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | End of split
% 251.80/49.38 | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | Case 2:
% 251.80/49.38 | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | (7339) all_22_2 = e1
% 251.80/49.38 | | | | | | | | | | | | | | (7340) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 251.80/49.38 | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 251.80/49.38 | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 251.80/49.38 | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 251.80/49.38 | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | COMBINE_EQS: (326), (7339) imply:
% 251.80/49.38 | | | | | | | | | | | | | | (7341) all_8_2 = e1
% 251.80/49.38 | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | SIMP: (7341) implies:
% 251.80/49.38 | | | | | | | | | | | | | | (7342) all_8_2 = e1
% 251.80/49.38 | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | COMBINE_EQS: (313), (7342) imply:
% 251.80/49.38 | | | | | | | | | | | | | | (7343) all_30_2 = e1
% 251.80/49.38 | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | REDUCE: (356), (7342) imply:
% 251.80/49.38 | | | | | | | | | | | | | | (7344) ~ (all_52_6 = e1)
% 251.80/49.38 | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | REDUCE: (42), (7342) imply:
% 251.80/49.38 | | | | | | | | | | | | | | (7345) op(e2, e2) = e1
% 251.80/49.38 | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 251.80/49.38 | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | Case 1:
% 251.80/49.38 | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | (7346) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 251.80/49.38 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 251.80/49.38 | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | BETA: splitting (7346) gives:
% 251.80/49.38 | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | Case 1:
% 251.80/49.38 | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | (7347) all_56_1 = e1 & op(e3, e2) = e1
% 251.80/49.38 | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | ALPHA: (7347) implies:
% 251.80/49.38 | | | | | | | | | | | | | | | | (7348) all_56_1 = e1
% 251.80/49.38 | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (225), (227),
% 251.80/49.38 | | | | | | | | | | | | | | | | (228), (7136), (7345), (7348), (function-axioms)
% 251.80/49.38 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3412.
% 251.80/49.38 | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | Case 2:
% 251.80/49.38 | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | (7349) all_56_3 = e1 & op(e2, e2) = e1
% 251.80/49.38 | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | ALPHA: (7349) implies:
% 251.80/49.38 | | | | | | | | | | | | | | | | (7350) all_56_3 = e1
% 251.80/49.38 | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 251.80/49.38 | | | | | | | | | | | | | | | |
% 251.80/49.38 | | | | | | | | | | | | | | | | Case 1:
% 251.80/49.38 | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | (7351) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 252.00/49.38 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 252.00/49.38 | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (7124), (7344), (7351),
% 252.00/49.38 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.38 | | | | | | | | | | | | | | | | | #3059.
% 252.00/49.38 | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.38 | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | (7352) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 252.00/49.38 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 252.00/49.38 | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | BETA: splitting (7352) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | (7353) all_56_8 = e1 & op(e1, e1) = e1
% 252.00/49.38 | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | ALPHA: (7353) implies:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | (7354) all_56_8 = e1
% 252.00/49.38 | | | | | | | | | | | | | | | | | | (7355) op(e1, e1) = e1
% 252.00/49.38 | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e1,
% 252.00/49.38 | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (39), (7355) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | (7356) all_6_2 = e1
% 252.00/49.38 | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | REDUCE: (366), (7356) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | (7357) ~ (all_52_9 = e1)
% 252.00/49.38 | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | REDUCE: (368), (7356) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | (7358) ~ (all_52_11 = e1)
% 252.00/49.38 | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | (7359) ~ (all_30_2 = e1)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | REDUCE: (7343), (7359) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | (7360) $false
% 252.00/49.38 | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | CLOSE: (7360) is inconsistent.
% 252.00/49.38 | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | (7361) ( ~ (all_30_0 = e0) & op(e2, all_30_1) = all_30_0
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 252.00/49.38 | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | (7362) ~ (all_34_2 = e1)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (7253), (7362) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | (7363) $false
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | CLOSE: (7363) is inconsistent.
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | (7364) ( ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | (7365) ~ (all_38_2 = e1)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7122), (7365) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | (7366) $false
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7366) is inconsistent.
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | (7367) ( ~ (all_38_0 = e2) & op(e3, all_38_1) = all_38_0
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_38_1 & $i(all_38_0) &
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e0) & op(e3, e1)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | (7368) all_54_4 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (7368) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | (7369) all_52_1 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7369) implies:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | (7370) all_52_1 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7370) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | (7371) ~ (all_52_2 = e3)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7371) implies:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | (7372) ~ (all_52_2 = e3)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (7370) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | (7373) ~ (all_52_3 = e3)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7373) implies:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | (7374) ~ (all_52_3 = e3)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7370) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | (7375) ~ (all_52_13 = e3)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7375) implies:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | (7376) ~ (all_52_13 = e3)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (7370) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | (7377) op(e2, e3) = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | (7378) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7378) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | (7379) all_56_0 = e3 & op(e3, e3) = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7379) implies:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | (7380) op(e3, e3) = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7132), (7380), (function-axioms) are
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | (7381) all_56_2 = e3 & op(e2, e3) = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7381) implies:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | (7382) all_56_2 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7383) all_54_7 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (7376), (7383) are inconsistent by
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2952.
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7384) ~ (all_54_7 = e3)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7385) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7386) all_54_12 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (7374), (7386) are inconsistent by
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3005.
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7387) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7388) all_54_8 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (7388) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7389) all_52_2 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7372), (7389) imply:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7390) $false
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7390) is inconsistent.
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7391) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7392) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7392) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7393) all_56_6 = e3 & op(e1, e3) = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7393) implies:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7394) all_56_6 = e3
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7395) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7132), (7377), (7395),
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #887.
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7396) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7396) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7397) all_56_6 = e2 & op(e1, e3) = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7394), (7397) are inconsistent by sub-proof
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3238.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7398) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7398) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7399) all_56_12 = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7400) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7400) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7401) all_56_0 = e0 & op(e3, e3) = e0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (214), (7124), (7131),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7344), (7354), (7401), (function-axioms)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #886.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7402) all_56_2 = e0 & op(e2, e3) = e0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7382), (7402) are inconsistent by sub-proof
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3329.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7403) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (7394), (7399), (7403) are inconsistent
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1778.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7404) all_56_7 = e3 & op(e1, e2) = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7404) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7405) all_56_7 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7406) op(e1, e2) = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (7406) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7407) all_52_6 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7408) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7408) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7409) all_56_9 = e3 & op(e3, e0) = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7409) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7410) all_56_9 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7411) op(e3, e0) = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7412) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7412) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7413) all_56_12 = e3 & op(e0, e3) = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7413) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7414) all_56_12 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7415) op(e0, e3) = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7416) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7132), (7377), (7416),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #887.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7417) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7417) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7418) all_56_6 = e2 & op(e1, e3) = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7418) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7419) all_56_6 = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7420) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7420) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7421) all_56_0 = e0 & op(e3, e3) = e0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (214), (7124), (7131),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7344), (7354), (7421), (function-axioms)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #886.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7422) all_56_2 = e0 & op(e2, e3) = e0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7422) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7423) all_56_2 = e0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7382), (7423) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7424) e3 = e0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7405), (7424) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7425) all_56_7 = e0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (7131), (7350), (7382), (7415), (7419),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7425), (function-axioms) are inconsistent by
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #882.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7426) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (7415), (7419), (7426),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #883.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7427) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7427) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7428) all_56_12 = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7414), (7428) are inconsistent by sub-proof
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3003.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7429) all_56_13 = e3 & op(e0, e2) = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7429) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7430) all_56_13 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345), (7405), (7430), (function-axioms) are
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #881.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7431) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7431) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7432) all_56_14 = e3 & op(e0, e1) = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7432) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7433) all_56_14 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7434) op(e0, e1) = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (7434) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7435) all_52_11 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (7411) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7436) all_52_12 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (7436) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7437) ~ (all_52_4 = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (7435) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7438) ~ (all_52_7 = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (7436) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7439) ~ (all_52_8 = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7436) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7440) ~ (all_52_14 = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7440) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7441) ~ (all_52_14 = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7251) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7442) ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0 &
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7442) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7443) ~ (all_20_0 = e2)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7444) op(e0, e1) = all_20_1
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7445) op(e0, all_20_1) = all_20_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7364) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7446) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7446) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7447) ~ (all_34_0 = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7448) op(e0, e1) = all_34_1
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7449) op(e0, all_34_1) = all_34_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_34_1,
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (7434), (7448) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7450) all_34_1 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (7444), (7448)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7451) all_34_1 = all_20_1
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7450), (7451) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7452) all_20_1 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7452) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7453) all_20_1 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7449), (7450) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7454) op(e0, e3) = all_34_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7445), (7453) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7455) op(e0, e3) = all_20_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e3, e0, simplifying with (159), (7455)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7456) all_52_3 = all_20_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e3, e0, simplifying with (159), (7454)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7457) all_52_3 = all_34_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7456), (7457) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7458) all_34_0 = all_20_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7458) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7459) all_34_0 = all_20_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (7456) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7460) all_54_12 = all_20_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7456) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7461) ~ (all_52_2 = all_20_0)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7456) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7462) ~ (all_52_7 = all_20_0)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7462) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7463) ~ (all_52_7 = all_20_0)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7125), (7456) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7464) ~ (all_20_0 = e1)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7447), (7459) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7465) ~ (all_20_0 = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7466) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7466) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7467) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7467) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7468) op(e0, e3) = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7443), (7455), (7468), (function-axioms) are
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2646.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7469) all_56_13 = e2 & op(e0, e2) = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7469) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7470) all_56_13 = e2
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (110), (117),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (141), (158), (160), (162), (163), (165),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (191), (193), (203), (211), (213),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (219), (221), (222), (223), (224),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (229), (230), (231), (233), (241), (242),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (253), (262), (263), (275), (7121), (7124),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126), (7131), (7132), (7136), (7254), (7255),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7266), (7267), (7340), (7344), (7350),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7354), (7367), (7372), (7377), (7382), (7385),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7387), (7391), (7405), (7406), (7410), (7411),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7433), (7437), (7438), (7439), (7441), (7443),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7455), (7460), (7461), (7463), (7464), (7465),
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7470), (function-axioms) are inconsistent by
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #871.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7471) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7266), (7433), (7471) are inconsistent
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2259.
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7472) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7472) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7473) ~ (all_34_1 = e2)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7474) op(e0, e1) = all_34_1
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_34_1,
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (7434), (7474) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7475) all_34_1 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (7444), (7474)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7476) all_34_1 = all_20_1
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7475), (7476) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477) all_20_1 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7477) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7478) all_20_1 = e3
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7445), (7478) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7479) op(e0, e3) = all_20_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e3, e0, simplifying with (159), (7479)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7480) all_52_3 = all_20_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (7480) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7481) all_54_12 = all_20_0
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7480) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7482) ~ (all_52_2 = all_20_0)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7480) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7483) ~ (all_52_7 = all_20_0)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7483) implies:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7484) ~ (all_52_7 = all_20_0)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7374), (7480) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7485) ~ (all_20_0 = e3)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7125), (7480) imply:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7486) ~ (all_20_0 = e1)
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7487) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7487) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7488) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7488) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7489) op(e0, e3) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7443), (7479), (7489), (function-axioms) are
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2646.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7490) all_56_13 = e2 & op(e0, e2) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7490) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7491) all_56_13 = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (110), (117),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (141), (158), (160), (162), (163), (165),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (191), (193), (203), (211), (213),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (219), (221), (222), (223), (224),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (229), (230), (231), (233), (241), (242),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (253), (262), (263), (275), (7121), (7124),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126), (7131), (7132), (7136), (7254), (7255),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7266), (7267), (7340), (7344), (7350),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7354), (7367), (7372), (7377), (7382), (7385),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7387), (7391), (7405), (7406), (7410), (7411),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7433), (7437), (7438), (7439), (7441), (7443),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7479), (7481), (7482), (7484), (7485), (7486),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7491), (function-axioms) are inconsistent by
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #871.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7492) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7266), (7473), (7474), (7492),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #870.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7493) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7364), (7434), (7493), (function-axioms) are
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2245.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7494) all_56_15 = e3 & op(e0, e0) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7266), (7494) are inconsistent by sub-proof
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2736.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7495) all_56_10 = e3 & op(e2, e0) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7376), (7495), (function-axioms) are
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7496) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7496) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7497) all_56_11 = e3 & op(e1, e0) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7497) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498) all_56_11 = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (160), (162), (163),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (7124), (7256), (7344),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7355), (7405), (7498), (function-axioms) are
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #867.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7499) all_56_15 = e3 & op(e0, e0) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7266), (7499) are inconsistent by sub-proof
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2736.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7500) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7500) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7501) all_56_8 = e3 & op(e1, e1) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (7501), (function-axioms) are
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7502) all_56_11 = e3 & op(e1, e0) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7502) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7503) all_56_11 = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7504) op(e1, e0) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (7504) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7505) all_52_14 = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7505) imply:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7506) ~ (all_52_12 = e3)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7507) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7507) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7508) all_56_12 = e3 & op(e0, e3) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7508) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7509) all_56_12 = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7510) op(e0, e3) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7511) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7132), (7382), (7511),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2297.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7512) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7513) all_56_6 = e2 & op(e1, e3) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7513) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7514) all_56_6 = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7515) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7515) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7516) all_56_6 = e0 & op(e1, e3) = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7514), (7516) are inconsistent by sub-proof
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3177.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7517) all_56_7 = e0 & op(e1, e2) = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7517) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7518) all_56_7 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (7131), (7350), (7382), (7510), (7514),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7518), (function-axioms) are inconsistent by
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #882.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7519) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (162), (163), (214), (7124),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7344), (7503), (7519), (function-axioms)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #866.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7520) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7520) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7521) all_56_12 = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (7521) are inconsistent by sub-proof
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3003.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7522) all_56_13 = e3 & op(e0, e2) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7522) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7523) all_56_13 = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524) op(e0, e2) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (7524) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7525) all_52_7 = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (7525) imply:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7526) ~ (all_52_4 = e3)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7527) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7527) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7528) all_56_4 = e3 & op(e3, e1) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7528) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7529) all_56_4 = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7530) op(e3, e1) = e3
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7531) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7531) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532) all_56_6 = e2 & op(e1, e3) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7532) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533) all_56_6 = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7534) op(e1, e3) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7535) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7535) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7536) all_56_0 = e0 & op(e3, e3) = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (214), (7124), (7131),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7344), (7354), (7536), (function-axioms)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #886.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537) all_56_2 = e0 & op(e2, e3) = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7382), (7537) are inconsistent by sub-proof
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3329.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7538) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7538) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7539) all_56_6 = e0 & op(e1, e3) = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7539) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7540) all_56_6 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7540) are inconsistent by sub-proof
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2939.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7541) all_56_12 = e0 & op(e0, e3) = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7541) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7542) all_56_12 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7543) op(e0, e3) = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7544) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7544) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7545) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7545) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7546) all_56_12 = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7542), (7546) imply:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547) e2 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7547) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7548) e2 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7533), (7548) imply:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7549) all_56_6 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (7382),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7542), (7549), (function-axioms) are inconsistent
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2295.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7550) all_56_13 = e2 & op(e0, e2) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (170), (236), (7132), (7506),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7523), (7526), (7529), (7550), (function-axioms)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #863.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7551) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7551) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7552) all_56_14 = e2 & op(e0, e1) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7552) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7553) op(e0, e1) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7554) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7554) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7555) all_56_6 = e0 & op(e1, e3) = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7555) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556) all_56_6 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (7382),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7542), (7556), (function-axioms) are inconsistent
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2295.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7557) all_56_7 = e0 & op(e1, e2) = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7557) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7558) all_56_7 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7559) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7559) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7560) all_56_1 = e2 & op(e3, e2) = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7560) implies:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7561) all_56_1 = e2
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7562) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7131), (7350), (7523), (7558), (7562),
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #862.
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7563) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7563) gives:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7564) all_56_4 = e0 & op(e3, e1) = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7564) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7565) op(e3, e1) = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7530), (7565), (function-axioms) are
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2333.
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7566) all_56_9 = e0 & op(e3, e0) = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7566) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7567) all_56_9 = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7568) op(e3, e0) = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7569) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7569) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7570) all_56_9 = e2 & op(e3, e0) = e2
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7570) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7571) all_56_9 = e2
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7567), (7571) imply:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7572) e2 = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7572) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7573) e2 = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7561), (7573) imply:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7574) all_56_1 = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (7523),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7558), (7574), (function-axioms) are inconsistent
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3337.
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7575) all_56_10 = e2 & op(e2, e0) = e2
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7575) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7576) op(e2, e0) = e2
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7577) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7577) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7578) all_56_2 = e0 & op(e2, e3) = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7382), (7578) are inconsistent by sub-proof
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3329.
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7579) all_56_3 = e0 & op(e2, e2) = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7579) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580) all_56_3 = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7523), (7558), (7580) are inconsistent by
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2926.
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7581) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7581) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7582) all_56_5 = e0 & op(e2, e1) = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7582) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7583) op(e2, e1) = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (7553) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7584) all_52_11 = e2
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (7543) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7585) all_52_3 = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (7534) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7586) all_52_2 = e2
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (7576) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7587) all_52_13 = e2
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7583) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7588) all_52_9 = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (7568) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7589) all_52_12 = e0
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (7587), (7589) imply:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7590) ~ (e2 = e0)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7506), (7589) imply:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7591) ~ (e3 = e0)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7592) (all_57_0 = all_57_1 & op(all_57_1, e3) = all_57_1
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_1 & $i(all_57_1)) |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = all_57_3 & op(all_57_3, e2) = all_57_3
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_3 & $i(all_57_3))
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7592) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7593) all_57_0 = all_57_1 & op(all_57_1, e3) = all_57_1
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_1 & $i(all_57_1)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7124), (7132), (7364), (7553), (7593),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #861.
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7594) all_57_2 = all_57_3 & op(all_57_3, e2) = all_57_3
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_3 & $i(all_57_3)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (7364), (7377), (7526), (7553), (7594),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #860.
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7595) (all_57_4 = all_57_5 & op(all_57_5, e1) = all_57_5
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_5 & $i(all_57_5)) |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = all_57_7 & op(all_57_7, e0) = all_57_7
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & $i(all_57_7))
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7595) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7596) all_57_4 = all_57_5 & op(all_57_5, e1) = all_57_5
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_5 & $i(all_57_5)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7596) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7597) op(e1, e3) = all_57_5
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7598) op(all_57_5, e1) = all_57_5
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7251) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7599) ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7599) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7600) op(e0, e1) = all_20_1
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (160), (162), (163), (226), (227),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (7124), (7256), (7267), (7340), (7344),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345), (7355), (7361), (7364), (7377), (7523),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524), (7534), (7553), (7558), (7561), (7568),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7583), (7597), (7598), (7600), (function-axioms)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #855.
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7601) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7601) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7602) op(e0, e1) = all_20_1
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (160), (162), (163), (226), (227),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (7124), (7256), (7267), (7340), (7344),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345), (7355), (7361), (7364), (7377), (7523),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524), (7534), (7553), (7558), (7561), (7568),
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7583), (7597), (7598), (7602), (function-axioms)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #855.
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7603) all_57_6 = all_57_7 & op(all_57_7, e0) = all_57_7
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & $i(all_57_7)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7603) implies:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7604) op(all_57_7, e0) = all_57_7
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7605) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7605) gives:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7124), (7568), (7606), (function-axioms)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #859.
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7607) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7344), (7377), (7607), (function-axioms)
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2357.
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7608) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7608) gives:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7609) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7345), (7355), (7609), (function-axioms) are
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3403.
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7610) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7610) gives:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7611) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7611) implies:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7612) op(e3, e0) = e3
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7568), (7612), (function-axioms) are
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #872.
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7613) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7613) gives:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7614) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7614) implies:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7615) ~ (all_57_31 = e0)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7616) op(e0, e0) = all_57_31
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7617) op(e0, e3) = all_57_7
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7340), (7543), (7583), (7604), (7615), (7616),
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7617), (function-axioms) are inconsistent by
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #873.
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7618) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (7256), (7267), (7524), (7568),
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7618), (function-axioms) are inconsistent by
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #856.
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7619) all_56_10 = e0 & op(e2, e0) = e0
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7619) implies:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7620) op(e2, e0) = e0
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7576), (7620), (function-axioms) are
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7621) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7621) gives:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7622) all_56_11 = e2 & op(e1, e0) = e2
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7622) implies:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7623) all_56_11 = e2
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7503), (7623) imply:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7624) e3 = e2
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7529), (7624) imply:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7625) all_56_4 = e2
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (170), (236), (7132), (7506),
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7526), (7625), (function-axioms) are inconsistent
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #864.
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7626) all_56_15 = e2 & op(e0, e0) = e2
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7626) implies:
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7627) all_56_15 = e2
% 252.00/49.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (225), (227),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7136), (7266), (7345), (7523), (7561), (7627),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2982.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628) all_56_3 = e2 & op(e2, e2) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7628) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7629) op(e2, e2) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7345), (7629), (function-axioms) are
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7630) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7630) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7631) all_56_7 = e2 & op(e1, e2) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7631) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7632) all_56_7 = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7633) op(e1, e2) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (160), (162),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (168), (170), (206), (213), (214), (219),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (225), (226), (227), (228), (231), (233),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (241), (7124), (7131), (7132), (7136),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7266), (7344), (7345), (7377), (7382),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7503), (7506), (7524), (7526), (7632), (7633),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #852.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7634) all_56_13 = e2 & op(e0, e2) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (170), (236), (7132), (7506),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7523), (7526), (7529), (7634), (function-axioms)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #863.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7635) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (162), (163), (214), (7124),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7344), (7503), (7635), (function-axioms)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #866.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7636) all_56_15 = e2 & op(e0, e0) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7266), (7636) are inconsistent by sub-proof
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3000.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7637) all_56_7 = e2 & op(e1, e2) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7637) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7638) all_56_7 = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7639) op(e1, e2) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (160), (162),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (168), (170), (206), (213), (214), (219),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (225), (226), (227), (228), (231), (233),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (241), (7124), (7131), (7132), (7136),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7266), (7344), (7345), (7377), (7382),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7503), (7506), (7524), (7526), (7638), (7639),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #852.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7640) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7640) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7641) all_56_8 = e2 & op(e1, e1) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7641) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7642) op(e1, e1) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7355), (7642), (function-axioms) are
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7643) all_56_11 = e2 & op(e1, e0) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7643) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7644) all_56_11 = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7503), (7644) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7645) e3 = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7645) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7646) e3 = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7529), (7646) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7647) all_56_4 = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (170), (236), (7132), (7506),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7526), (7647), (function-axioms) are inconsistent
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #864.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7648) all_56_5 = e3 & op(e2, e1) = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7648) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7649) all_56_5 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7650) op(e2, e1) = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7382), (7649), (7650), (function-axioms) are
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2176.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7651) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7651) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7652) all_56_8 = e3 & op(e1, e1) = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (7652), (function-axioms) are
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7653) all_56_14 = e3 & op(e0, e1) = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7653) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7654) all_56_14 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (217),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (236), (7132), (7355), (7506),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7526), (7654), (function-axioms) are inconsistent
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #848.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7655) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7655) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7656) all_56_14 = e3 & op(e0, e1) = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7656) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7657) all_56_14 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) op(e0, e1) = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (7658) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) all_52_11 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7660) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) all_56_1 = e3 & op(e3, e2) = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7661) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) all_56_1 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) op(e3, e2) = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7251) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0 &
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7664) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) ~ (all_20_0 = e2)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) op(e0, e1) = all_20_1
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) op(e0, all_20_1) = all_20_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7364) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7668) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) ~ (all_34_0 = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) op(e0, e1) = all_34_1
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) op(e0, all_34_1) = all_34_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_34_1,
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (7658), (7670) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) all_34_1 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (7666), (7670)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) all_34_1 = all_20_1
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (7663) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) all_52_4 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7672), (7673) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) all_20_1 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7675) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) all_20_1 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (7674) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) ~ (all_52_8 = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7677) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) ~ (all_52_8 = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (7674) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) ~ (all_52_12 = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7671), (7672) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) op(e0, e3) = all_34_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7667), (7676) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) op(e0, e3) = all_20_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e3, e0, simplifying with (159), (7681)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) all_52_3 = all_20_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e3, e0, simplifying with (159), (7680)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) all_52_3 = all_34_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7682), (7683) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) all_34_0 = all_20_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7684) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) all_34_0 = all_20_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (7682) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7686) all_54_12 = all_20_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7682) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7687) ~ (all_52_7 = all_20_0)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7687) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7688) ~ (all_52_7 = all_20_0)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7125), (7682) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689) ~ (all_20_0 = e1)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7669), (7685) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7690) ~ (all_20_0 = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7691) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7692) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) op(e0, e3) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7665), (7681), (7693), (function-axioms) are
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2646.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) all_56_13 = e2 & op(e0, e2) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7694) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) all_56_13 = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) op(e0, e2) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (113), (158), (160),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (168), (169), (201), (213),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (226), (227), (228), (230), (233), (240),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (273), (7124), (7128), (7131), (7132),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7267), (7344), (7345), (7350), (7367),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7377), (7387), (7503), (7506), (7658), (7662),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663), (7665), (7678), (7681), (7686), (7688),
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689), (7690), (7695), (7696), (function-axioms)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #843.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7266), (7657), (7697) are inconsistent
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2259.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7698) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) ~ (all_34_1 = e2)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) op(e0, e1) = all_34_1
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_34_1,
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (7658), (7700) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) all_34_1 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (7666), (7700)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) all_34_1 = all_20_1
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (7663) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) all_52_4 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7701), (7702) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) all_20_1 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7704) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) all_20_1 = e3
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (7703) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) ~ (all_52_8 = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7706) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) ~ (all_52_8 = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (7703) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7708) ~ (all_52_12 = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7667), (7705) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7709) op(e0, e3) = all_20_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e3, e0, simplifying with (159), (7709)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7710) all_52_3 = all_20_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (7710) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7711) all_54_12 = all_20_0
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7710) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7712) ~ (all_52_7 = all_20_0)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7712) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713) ~ (all_52_7 = all_20_0)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7374), (7710) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714) ~ (all_20_0 = e3)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7125), (7710) imply:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715) ~ (all_20_0 = e1)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7716) gives:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7717) implies:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718) op(e0, e3) = e2
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7665), (7709), (7718), (function-axioms) are
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2646.
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7719) all_56_13 = e2 & op(e0, e2) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7719) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7720) all_56_13 = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721) op(e0, e2) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (113), (158), (160),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (168), (169), (201), (213),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (226), (227), (228), (230), (233), (240),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (273), (7124), (7128), (7131), (7132),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7267), (7344), (7345), (7350), (7367),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7377), (7387), (7503), (7506), (7658), (7662),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663), (7665), (7707), (7709), (7711), (7713),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714), (7715), (7720), (7721), (function-axioms)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #843.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7722) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7266), (7699), (7700), (7722),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #870.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7364), (7658), (7723), (function-axioms) are
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2245.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7724) all_56_3 = e3 & op(e2, e2) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7724) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7725) op(e2, e2) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7345), (7725), (function-axioms) are
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7726) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7726) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7727) all_56_7 = e3 & op(e1, e2) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7727) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7728) all_56_7 = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (160), (162), (163),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (7124), (7256), (7344),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7355), (7503), (7728), (function-axioms) are
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #867.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7729) all_56_13 = e3 & op(e0, e2) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7729) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7730) all_56_13 = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7731) op(e0, e2) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7732) all_56_15 = e0 & op(e0, e0) = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (214), (7124), (7256),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7266), (7344), (7354), (7732), (function-axioms)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #842.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7733) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7733) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7734) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7734) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7735) all_56_12 = e0 & op(e0, e3) = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7735) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736) all_56_12 = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7737) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7737) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738) all_56_0 = e2 & op(e3, e3) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7738) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739) op(e3, e3) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (231), (7124), (7382),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736), (7739), (function-axioms) are inconsistent
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #986.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7740) all_56_2 = e2 & op(e2, e3) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7740) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741) op(e2, e3) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7377), (7741), (function-axioms) are
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #888.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7742) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743) all_56_6 = e2 & op(e1, e3) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7743) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7744) all_56_6 = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7745) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7745) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7746) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7746) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747) all_56_12 = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7736), (7747) imply:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748) e2 = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7744), (7748) imply:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7749) all_56_6 = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (7382),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736), (7749), (function-axioms) are inconsistent
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2295.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7750) all_56_13 = e2 & op(e0, e2) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7730), (7750) are inconsistent by sub-proof
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3417.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7751) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7266), (7657), (7751) are inconsistent
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2713.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7736), (7752) are inconsistent by sub-proof
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2569.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7753) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7753) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7754) all_56_13 = e0 & op(e0, e2) = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7754) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) op(e0, e2) = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7731), (7755), (function-axioms) are
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #857.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) all_56_14 = e0 & op(e0, e1) = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7756) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) all_56_14 = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7657), (7757) are inconsistent by sub-proof
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2897.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) all_56_15 = e3 & op(e0, e0) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7758) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) all_56_15 = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (211),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7503), (7759) are inconsistent by sub-proof
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3178.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | (7760) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7760) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7761) all_56_6 = e3 & op(e1, e3) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7761) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7762) all_56_6 = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (160), (162), (163),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (214), (229), (233), (7124), (7131), (7132),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7344), (7354), (7377), (7762),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | #838.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7763) all_56_12 = e3 & op(e0, e3) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7763) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7764) all_56_12 = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7765) op(e0, e3) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | (7766) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (162), (163), (214), (7124),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | (7131), (7256), (7344), (7354), (7377), (7766),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | #840.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | (7767) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7767) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (7768) all_56_6 = e0 & op(e1, e3) = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7768) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) all_56_6 = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7132), (7377), (7770),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | #887.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7771) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) all_56_6 = e2 & op(e1, e3) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7769), (7772) are inconsistent by sub-proof
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2711.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7764), (7773) are inconsistent by sub-proof
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3241.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) all_56_12 = e0 & op(e0, e3) = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7774) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) op(e0, e3) = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7765), (7775), (function-axioms) are
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #884.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | (7776) ~ (all_54_4 = e3)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | (7777) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (7776) imply:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | (7778) ~ (all_52_1 = e3)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | (7779) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7779) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7780) all_56_0 = e3 & op(e3, e3) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7780) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7781) op(e3, e3) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7132), (7781), (function-axioms) are
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7782) all_56_2 = e3 & op(e2, e3) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7782) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7783) op(e2, e3) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (7783) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7784) all_52_1 = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7778), (7784) imply:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7785) $false
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7785) is inconsistent.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | (7786) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7786) gives:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7787) all_56_6 = e3 & op(e1, e3) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7787) implies:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7788) all_56_6 = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7789) op(e1, e3) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (42), (110), (112),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (113), (117), (120), (133), (134), (139), (140),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (141), (144), (145), (146), (148), (149), (157),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (192), (197), (200),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (211), (212), (213), (214),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (221), (222),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (234), (236), (241), (242),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (252), (263), (272), (376), (7121), (7123),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7124), (7125), (7126), (7127), (7128), (7131),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7132), (7136), (7251), (7255), (7256), (7266),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7267), (7340), (7344), (7345), (7350), (7354),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7355), (7357), (7358), (7361), (7364), (7367),
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7777), (7788), (7789), (function-axioms) are
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #807.
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | (7790) all_56_12 = e3 & op(e0, e3) = e3
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7790) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | (7791) all_56_12 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | (7792) op(e0, e3) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (7792) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | (7793) all_52_3 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7793) imply:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | (7794) ~ (all_52_2 = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7793) imply:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | (7795) ~ (all_52_7 = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7795) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | (7796) ~ (all_52_7 = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7797) all_54_8 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (7794), (7797) are inconsistent by
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2703.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7798) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7799) all_54_13 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (7796), (7799) are inconsistent by
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2486.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7800) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7801) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7801) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7802) all_56_6 = e3 & op(e1, e3) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7802) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803) all_56_6 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804) op(e1, e3) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (42), (110), (112),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (113), (117), (120), (133), (134), (139), (140),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (144), (145), (146), (148), (149), (157),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (192), (197), (200),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (211), (212), (213), (214),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (221), (222),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (234), (236), (241), (242),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (263), (272), (376), (7121), (7123),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124), (7125), (7126), (7127), (7128), (7131),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132), (7136), (7251), (7255), (7256), (7266),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7267), (7340), (7344), (7345), (7350), (7354),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7355), (7357), (7358), (7361), (7364), (7367),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7777), (7803), (7804), (function-axioms) are
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #807.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7805) all_56_7 = e3 & op(e1, e2) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7805) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806) all_56_7 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807) op(e1, e2) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (7807) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7808) all_52_6 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (7808) imply:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7809) ~ (all_52_4 = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7808) imply:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810) ~ (all_52_14 = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7810) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7811) ~ (all_52_14 = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7812) all_54_1 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (7809), (7812) are inconsistent by
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2977.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813) ~ (all_54_1 = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7815) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7815) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816) all_56_9 = e3 & op(e3, e0) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7816) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7817) all_56_9 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7818) op(e3, e0) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (7818) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7819) all_52_12 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (7819) imply:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7820) ~ (all_52_13 = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7820) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7821) ~ (all_52_13 = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7822) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (7345), (7778), (7822),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #836.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7823) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7823) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7824) all_56_5 = e3 & op(e2, e1) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7824) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7825) all_56_5 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7826) op(e2, e1) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (42), (117), (123), (135), (145), (146),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (158), (160), (162), (163), (164), (165),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (169), (170), (197), (200), (211), (213),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (221), (223), (238), (241),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262), (263), (272), (275), (7123), (7124),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126), (7136), (7255), (7256), (7266), (7267),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340), (7344), (7345), (7354), (7355), (7357),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7361), (7777), (7792), (7798), (7806), (7807),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814), (7817), (7818), (7825), (7826),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #797.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7827) all_56_10 = e3 & op(e2, e0) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7821), (7827), (function-axioms) are
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7828) all_56_10 = e3 & op(e2, e0) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7828) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7829) all_56_10 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7830) op(e2, e0) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (7830) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7831) all_52_13 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (7831) imply:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832) ~ (all_52_12 = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7833) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7833) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7834) all_56_4 = e3 & op(e3, e1) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7834) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7835) all_56_4 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836) op(e3, e1) = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7837) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7837) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7838) all_56_4 = e2 & op(e3, e1) = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7838) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7839) all_56_4 = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (170), (236), (7132), (7809),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832), (7839), (function-axioms) are inconsistent
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #864.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7840) all_56_5 = e2 & op(e2, e1) = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7840) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7841) all_56_5 = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7842) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7340), (7361), (7830), (7836), (7842),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #814.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7843) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7843) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7844) all_56_8 = e0 & op(e1, e1) = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7844) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7845) all_56_8 = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (214), (7124), (7256),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7344), (7845), (function-axioms) are inconsistent
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3048.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7846) all_56_14 = e0 & op(e0, e1) = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7846) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7847) all_56_14 = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7848) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849) all_56_12 = e2 & op(e0, e3) = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7849) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850) all_56_12 = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7791), (7850) imply:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7851) e3 = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7835), (7851) imply:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7852) all_56_4 = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (170), (236), (7132), (7809),
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832), (7852), (function-axioms) are inconsistent
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #864.
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7853) all_56_13 = e2 & op(e0, e2) = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7853) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854) all_56_13 = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7855) op(e0, e2) = e2
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7856) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7856) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857) all_56_1 = e0 & op(e3, e2) = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7857) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858) all_56_1 = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859) op(e3, e2) = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7860) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7860) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861) all_56_2 = e0 & op(e2, e3) = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7861) implies:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7862) op(e2, e3) = e0
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7863) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7863) gives:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (7124), (7862), (7864),
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #816.
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7865) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7865) gives:
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7866) all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) = all_57_3
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & $i(all_57_1) &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7866) implies:
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867) op(e3, e2) = e3
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7859), (7867), (function-axioms) are
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868) all_57_13 = e1 & ~ (all_57_3 = e3) & ~
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & ~ (all_57_27 = e0) & op(e2,
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_27)
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7868) implies:
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869) op(e1, e2) = e1
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7807), (7869), (function-axioms) are
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.00/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7870) gives:
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7871) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7345), (7355), (7871), (function-axioms) are
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3403.
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7872) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7872) gives:
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7873) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7873) implies:
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7874) ~ (all_57_7 = e3)
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7875) op(e0, e3) = all_57_7
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7792), (7874), (7875), (function-axioms) are
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7876) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7876) gives:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7877) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7877) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7878) ~ (all_57_7 = e3)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7879) op(e0, e3) = all_57_7
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7792), (7878), (7879), (function-axioms) are
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7880) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7880) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7881) op(e0, e0) = all_57_31
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7882) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (160), (7256), (7267), (7792), (7855),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7881), (7882), (function-axioms) are inconsistent
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #795.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7883) all_56_3 = e0 & op(e2, e2) = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7883) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7884) all_56_3 = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (7854),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858), (7884) are inconsistent by sub-proof
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2922.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7885) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7885) gives:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886) all_56_5 = e0 & op(e2, e1) = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7340), (7361), (7830), (7886), (function-axioms)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #900.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7887) all_56_10 = e0 & op(e2, e0) = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7887) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7888) all_56_10 = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7829), (7888) imply:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7889) e3 = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7806), (7889) imply:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7890) all_56_7 = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858), (7890), (function-axioms) are inconsistent
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3336.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891) all_56_3 = e0 & op(e2, e2) = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (7136), (7891), (function-axioms) are
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7892) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7892) gives:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7893) all_56_7 = e0 & op(e1, e2) = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7806), (7893) are inconsistent by sub-proof
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3427.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7894) all_56_13 = e0 & op(e0, e2) = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7894) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7895) op(e0, e2) = e0
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7855), (7895), (function-axioms) are
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7896) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7896) gives:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7897) all_56_14 = e2 & op(e0, e1) = e2
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (162), (163), (214), (217),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124), (7256), (7340), (7344), (7361), (7830),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836), (7897), (function-axioms) are inconsistent
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #794.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7898) all_56_15 = e2 & op(e0, e0) = e2
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7898) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7899) all_56_15 = e2
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7266), (7899) imply:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7900) e2 = e1
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7841), (7900) imply:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7901) all_56_5 = e1
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (7355), (7835), (7847),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7901), (function-axioms) are inconsistent by
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3032.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7902) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7902) gives:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7903) all_56_8 = e2 & op(e1, e1) = e2
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7903) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7904) op(e1, e1) = e2
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7355), (7904), (function-axioms) are
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7905) all_56_14 = e2 & op(e0, e1) = e2
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (162), (163), (214), (217),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124), (7256), (7340), (7344), (7361), (7830),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836), (7905), (function-axioms) are inconsistent
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #794.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7906) all_56_5 = e3 & op(e2, e1) = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7906) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7907) all_56_5 = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7908) op(e2, e1) = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7909) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7132), (7809), (7909),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #865.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7910) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7910) gives:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7911) all_56_4 = e3 & op(e3, e1) = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7911) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7912) all_56_4 = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (219),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7907), (7912), (function-axioms) are inconsistent
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3218.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7913) all_56_9 = e3 & op(e3, e0) = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7913) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7914) all_56_9 = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7915) op(e3, e0) = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (42), (117), (123), (135), (145), (146),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (158), (160), (162), (163), (164), (165),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (169), (170), (197), (200), (211), (213),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (221), (223), (238), (241),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262), (263), (272), (275), (7123), (7124),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126), (7136), (7255), (7256), (7266), (7267),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340), (7344), (7345), (7354), (7355), (7357),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7361), (7777), (7792), (7798), (7806), (7807),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814), (7907), (7908), (7914), (7915),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #797.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7916) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7916) gives:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7917) all_56_8 = e3 & op(e1, e1) = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (7917), (function-axioms) are
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7918) all_56_14 = e3 & op(e0, e1) = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7918) implies:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7919) all_56_14 = e3
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (170), (217),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (236), (7132), (7355), (7809),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832), (7919), (function-axioms) are inconsistent
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #848.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7920) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (7266), (7811), (7920),
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2258.
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7921) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7921) gives:
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7922) all_56_8 = e3 & op(e1, e1) = e3
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (7922), (function-axioms) are
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7923) all_56_11 = e3 & op(e1, e0) = e3
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7923) implies:
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7924) all_56_11 = e3
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7925) op(e1, e0) = e3
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 252.32/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (7925) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7926) all_52_14 = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (7926) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7927) ~ (all_52_13 = e3)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7928) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7928) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7929) all_56_1 = e3 & op(e3, e2) = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7929) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7930) all_56_1 = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7931) op(e3, e2) = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7932) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (7345), (7778), (7932),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #836.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7933) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7933) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7934) all_56_5 = e3 & op(e2, e1) = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7934) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7935) all_56_5 = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7936) op(e2, e1) = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7936) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7937) all_52_9 = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (7931) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7938) all_52_4 = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (7938) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939) ~ (all_52_6 = e3)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7939) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7940) ~ (all_52_6 = e3)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (7938) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7941) ~ (all_52_12 = e3)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7941) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7942) ~ (all_52_12 = e3)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7361) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7943) ~ (all_30_0 = e0) & op(e2, all_30_1) = all_30_0 &
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7943) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944) ~ (all_30_0 = e0)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7945) op(e2, e1) = all_30_1
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946) op(e2, all_30_1) = all_30_0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7340) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947) ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0 &
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7947) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7948) op(e2, e1) = all_22_1
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949) op(e2, all_22_1) = all_22_0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (7936), (7945) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7950) all_30_1 = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (7945), (7948)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7951) all_30_1 = all_22_1
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7950), (7951) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952) all_22_1 = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7952) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) all_22_1 = e3
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7946), (7950) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) op(e2, e3) = all_30_0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7949), (7953) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) op(e2, e3) = all_22_0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e3, e2, simplifying with (167), (7955)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) all_52_1 = all_22_0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_0, e3, e2, simplifying with (167), (7954)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) all_52_1 = all_30_0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7956), (7957) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958) all_30_0 = all_22_0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7958) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959) all_30_0 = all_22_0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (7956) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960) all_54_4 = all_22_0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7956) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7961) ~ (all_52_2 = all_22_0)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7961) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7962) ~ (all_52_2 = all_22_0)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7123), (7956) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963) ~ (all_22_0 = e1)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7944), (7959) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7964) ~ (all_22_0 = e0)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7965) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (7136), (7777), (7955), (7960), (7963),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7964), (7965), (function-axioms) are inconsistent
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #805.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7966) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967) all_56_5 = e0 & op(e2, e1) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7967) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7968) all_56_5 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7935), (7968) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) e3 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7930), (7969) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7970) all_56_1 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (236), (7132), (7935), (7942), (7970),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2605.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7971) all_56_10 = e0 & op(e2, e0) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7971) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) all_56_10 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) op(e2, e0) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7974) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) all_56_9 = e2 & op(e3, e0) = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7975) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) all_56_9 = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (224), (236), (7131), (7132),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7350), (7935), (7942), (7972), (7977),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #793.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7978) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) all_56_4 = e0 & op(e3, e1) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7979) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) all_56_4 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) op(e3, e1) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7982) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (7936), (7980), (7982),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3058.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7983) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7983) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7984) all_56_8 = e2 & op(e1, e1) = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7984) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7985) op(e1, e1) = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7355), (7985), (function-axioms) are
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7986) all_56_14 = e2 & op(e0, e1) = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7986) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7987) op(e0, e1) = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7988) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7988) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7989) all_56_0 = e0 & op(e3, e3) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7989) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7990) all_56_0 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7991) op(e3, e3) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (168), (232), (236), (7942),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976), (7980), (7990), (7991), (function-axioms)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2591.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7992) all_56_2 = e0 & op(e2, e3) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7992) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7993) all_56_2 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7972), (7973), (7993), (function-axioms) are
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2777.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7994) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7994) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7995) all_56_6 = e0 & op(e1, e3) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7995) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7996) op(e1, e3) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7777) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7997) all_54_4 = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7960), (7997) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7998) all_22_0 = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7998) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7999) all_22_0 = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7962), (7999) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8000) ~ (all_52_2 = e2)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7955), (7999) imply:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8001) op(e2, e3) = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (125), (128), (143), (157), (163), (168),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (242), (251), (261), (262), (7124), (7132),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254), (7344), (7345), (7364), (7367), (7792),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798), (7800), (7940), (7942), (7981), (7987),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8000), (8001), (function-axioms) are inconsistent
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #792.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8002) all_54_4 = e1 | all_54_4 = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (272), (7123), (7996), (8002),
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3352.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8003) all_56_12 = e0 & op(e0, e3) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8003) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8004) op(e0, e3) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7792), (8004), (function-axioms) are
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #884.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8005) all_56_9 = e0 & op(e3, e0) = e0
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7976), (8005) are inconsistent by sub-proof
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2546.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8006) all_56_10 = e2 & op(e2, e0) = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8006) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8007) op(e2, e0) = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7973), (8007), (function-axioms) are
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8008) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8008) gives:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8009) all_56_11 = e2 & op(e1, e0) = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7924), (8009) are inconsistent by sub-proof
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3215.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8010) all_56_15 = e2 & op(e0, e0) = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8010) implies:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011) all_56_15 = e2
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7266), (8011) are inconsistent by sub-proof
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3014.
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8012) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8012) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8013) ~ (all_22_1 = e0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8014) op(e2, e1) = all_22_1
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (7936), (7945) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8015) all_30_1 = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (7945), (8014)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8016) all_30_1 = all_22_1
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8015), (8016) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8017) all_22_1 = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8017) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8018) all_22_1 = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7946), (8015) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8019) op(e2, e3) = all_30_0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_0, e3, e2, simplifying with (167), (8019)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8020) all_52_1 = all_30_0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (8020) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8021) all_54_4 = all_30_0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8020) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8022) ~ (all_52_2 = all_30_0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8022) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8023) ~ (all_52_2 = all_30_0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8020) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8024) ~ (all_52_13 = all_30_0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8024) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8025) ~ (all_52_13 = all_30_0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7778), (8020) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8026) ~ (all_30_0 = e3)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7123), (8020) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8027) ~ (all_30_0 = e1)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8028) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (42), (164), (200), (223), (7136),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345), (7936), (7944), (8021), (8025), (8026),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8027), (8028), (function-axioms) are inconsistent
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2946.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8029) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8029) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8030) all_56_5 = e0 & op(e2, e1) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8030) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8031) op(e2, e1) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8013), (8014), (8031), (function-axioms) are
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8032) all_56_10 = e0 & op(e2, e0) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8032) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8033) all_56_10 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8034) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8034) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8035) all_56_9 = e2 & op(e3, e0) = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8035) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8036) all_56_9 = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8037) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (224), (236), (7131), (7132),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7350), (7935), (7942), (8033), (8037),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #793.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8038) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8038) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8039) all_56_4 = e0 & op(e3, e1) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8039) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8040) all_56_4 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8041) op(e3, e1) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8042) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (7936), (8040), (8042),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3058.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8043) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8043) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8044) all_56_8 = e2 & op(e1, e1) = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8044) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8045) op(e1, e1) = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7355), (8045), (function-axioms) are
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8046) all_56_14 = e2 & op(e0, e1) = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8046) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8047) op(e0, e1) = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7777) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8048) all_54_4 = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8021), (8048) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8049) all_30_0 = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8049) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8050) all_30_0 = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8023), (8050) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8051) ~ (all_52_2 = e2)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8019), (8050) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8052) op(e2, e3) = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (125), (128), (143), (157), (163), (168),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (242), (251), (261), (262), (7124), (7132),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254), (7344), (7345), (7364), (7367), (7792),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798), (7800), (7940), (7942), (8041), (8047),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8051), (8052), (function-axioms) are inconsistent
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #792.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) all_54_4 = e1 | all_54_4 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7944), (8021), (8027), (8053) are inconsistent by
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2949.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) all_56_9 = e0 & op(e3, e0) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8036), (8054) are inconsistent by sub-proof
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2546.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) all_56_10 = e2 & op(e2, e0) = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8055) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) op(e2, e0) = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7777), (7944), (8021), (8025), (8027),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8056), (function-axioms) are inconsistent by
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2948.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8057) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7266), (7924), (8057) are inconsistent
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2478.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8058) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) ~ (all_30_1 = e3)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8060) op(e2, e1) = all_30_1
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7936), (8059), (8060), (function-axioms) are
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2908.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061) all_56_10 = e3 & op(e2, e0) = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7927), (8061), (function-axioms) are
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8062) all_56_3 = e3 & op(e2, e2) = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8062) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8063) op(e2, e2) = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7345), (8063), (function-axioms) are
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8064) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8064) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8065) all_56_7 = e3 & op(e1, e2) = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8065) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8066) all_56_7 = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (160), (162), (163),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (7124), (7256), (7344),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7355), (7924), (8066), (function-axioms) are
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #867.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8067) all_56_13 = e3 & op(e0, e2) = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8067) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8068) all_56_13 = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8069) op(e0, e2) = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8070) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (7345), (7778), (8070),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #836.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8071) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8071) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8072) all_56_5 = e3 & op(e2, e1) = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8072) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8073) all_56_5 = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074) op(e2, e1) = e3
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8075) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7791), (8068), (8075) are inconsistent by
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2513.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8076) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8076) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8077) all_56_14 = e2 & op(e0, e1) = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8077) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8078) all_56_14 = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8079) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8079) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8080) all_56_4 = e0 & op(e3, e1) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8080) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8081) all_56_4 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8082) all_56_15 = e0 & op(e0, e0) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8082) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8083) all_56_15 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7266), (8083) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8084) e1 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7354), (8084) imply:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8085) all_56_8 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (8073),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074), (8081), (8085), (function-axioms) are
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3055.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8086) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8086) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8087) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8087) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8088) all_56_12 = e0 & op(e0, e3) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8088) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8089) op(e0, e3) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7792), (8089), (function-axioms) are
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #884.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8090) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8090) gives:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8091) all_56_13 = e0 & op(e0, e2) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8091) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8092) op(e0, e2) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8069), (8092), (function-axioms) are
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #857.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8093) all_56_14 = e0 & op(e0, e1) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8093) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8094) all_56_14 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (8073),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074), (8081), (8094), (function-axioms) are
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3168.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8095) all_56_5 = e0 & op(e2, e1) = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8095) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8096) all_56_5 = e0
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8073), (8096) are inconsistent by sub-proof
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3325.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8097) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (162), (163), (214), (7124),
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (7344), (8078), (8097), (function-axioms)
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2405.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8098) all_56_15 = e2 & op(e0, e0) = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8098) implies:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8099) all_56_15 = e2
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7266), (8099) are inconsistent by sub-proof
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3014.
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8100) all_56_10 = e3 & op(e2, e0) = e3
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7927), (8100), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | (8101) all_56_11 = e1 & op(e1, e0) = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | ALPHA: (8101) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | (8102) op(e1, e0) = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7256), (8102), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | (8103) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 252.38/49.50 | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (7254), (7344), (8103),
% 252.38/49.50 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.50 | | | | | | | | | | | | | | | #3080.
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | (8104) all_18_2 = e0
% 252.38/49.50 | | | | | | | | | | (8105) ( ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0
% 252.38/49.50 | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 252.38/49.50 | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 252.38/49.50 | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | COMBINE_EQS: (328), (8104) imply:
% 252.38/49.50 | | | | | | | | | | (8106) all_6_2 = e0
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | COMBINE_EQS: (320), (8106) imply:
% 252.38/49.50 | | | | | | | | | | (8107) all_28_2 = e0
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | REDUCE: (352), (8106) imply:
% 252.38/49.50 | | | | | | | | | | (8108) ~ (all_52_2 = e0)
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | REDUCE: (363), (8106) imply:
% 252.38/49.50 | | | | | | | | | | (8109) ~ (all_52_6 = e0)
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | REDUCE: (365), (8106) imply:
% 252.38/49.50 | | | | | | | | | | (8110) ~ (all_52_8 = e0)
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | REDUCE: (366), (8106) imply:
% 252.38/49.50 | | | | | | | | | | (8111) ~ (all_52_9 = e0)
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | REDUCE: (368), (8106) imply:
% 252.38/49.50 | | | | | | | | | | (8112) ~ (all_52_11 = e0)
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | REDUCE: (370), (8106) imply:
% 252.38/49.50 | | | | | | | | | | (8113) ~ (all_52_14 = e0)
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | BETA: splitting (213) gives:
% 252.38/49.50 | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | (8114) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 252.38/49.50 | | | | | | | | | | | & op(e1, e2) = e0)
% 252.38/49.50 | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | REF_CLOSE: (162), (163), (8108), (8109), (8114),
% 252.38/49.50 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.50 | | | | | | | | | | | #2864.
% 252.38/49.50 | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | (8115) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 252.38/49.50 | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 252.38/49.50 | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | BETA: splitting (8115) gives:
% 252.38/49.50 | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | (8116) all_56_8 = e0 & op(e1, e1) = e0
% 252.38/49.50 | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | ALPHA: (8116) implies:
% 252.38/49.50 | | | | | | | | | | | | (8117) all_56_8 = e0
% 252.38/49.50 | | | | | | | | | | | | (8118) op(e1, e1) = e0
% 252.38/49.50 | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | BETA: splitting (61) gives:
% 252.38/49.50 | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | (8119) ~ (all_20_2 = e1)
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | REDUCE: (322), (8119) imply:
% 252.38/49.50 | | | | | | | | | | | | | (8120) ~ (all_4_2 = e1)
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | (8121) all_54_15 = e3
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | REF_CLOSE: (249), (7134), (8121) are inconsistent by
% 252.38/49.50 | | | | | | | | | | | | | | sub-proof #3475.
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | (8122) ~ (all_54_15 = e3)
% 252.38/49.50 | | | | | | | | | | | | | | (8123) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | BETA: splitting (8123) gives:
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | (8124) all_54_15 = e2
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (8124) are inconsistent by sub-proof
% 252.38/49.50 | | | | | | | | | | | | | | | #3474.
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | (8125) ~ (all_54_15 = e2)
% 252.38/49.50 | | | | | | | | | | | | | | | (8126) all_54_15 = e1 | all_54_15 = e0
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | BETA: splitting (8126) gives:
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | (8127) all_54_15 = e1
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8120), (8127) are inconsistent by
% 252.38/49.50 | | | | | | | | | | | | | | | | sub-proof #3473.
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | (8128) all_54_15 = e0
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (8128) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | (8129) all_4_2 = e0
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | SIMP: (8129) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | (8130) all_4_2 = e0
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | REDUCE: (353), (8130) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | (8131) ~ (all_52_3 = e0)
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | REDUCE: (364), (8130) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | (8132) ~ (all_52_7 = e0)
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | REDUCE: (7134), (8130) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | (8133) ~ (e3 = e0)
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | REDUCE: (375), (8130) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | (8134) ~ (e2 = e0)
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | REDUCE: (8120), (8130) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | (8135) ~ (e1 = e0)
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | (8136) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | BETA: splitting (8136) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | (8137) all_56_2 = e0 & op(e2, e3) = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | ALPHA: (8137) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | (8138) op(e2, e3) = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8139) all_56_15 = e0 & op(e0, e0) = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | ALPHA: (8139) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8140) all_56_15 = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8141) op(e0, e0) = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | (8142) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8142) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (8143) all_56_1 = e0 & op(e3, e2) = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8143) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (8144) all_56_1 = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (8145) op(e3, e2) = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (42), (64), (135), (148),
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (162), (163), (164), (165),
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (167), (170), (199), (207), (227), (228), (241),
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (271), (326), (354), (356), (360), (362), (377),
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (7124), (7125), (7132), (8112), (8138), (8140),
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (8141), (8144), (8145), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #791.
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (8146) all_56_3 = e0 & op(e2, e2) = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (7136), (8146), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | (8147) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (8109), (8132), (8147),
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | #2774.
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8148) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | ALPHA: (8148) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8149) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | e1) = e0)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (8112), (8131), (8132),
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8149), (function-axioms) are inconsistent by
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | sub-proof #3078.
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | (8150) all_56_3 = e0 & op(e2, e2) = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (7136), (8150), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | (8151) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 252.38/49.50 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (165),
% 252.38/49.50 | | | | | | | | | | | | | | | | | (222), (223), (224), (229), (7131), (8108),
% 252.38/49.50 | | | | | | | | | | | | | | | | | (8111), (8131), (8151), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #789.
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | (8152) all_20_2 = e1
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | COMBINE_EQS: (322), (8152) imply:
% 252.38/49.50 | | | | | | | | | | | | | (8153) all_4_2 = e1
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | SIMP: (8153) implies:
% 252.38/49.50 | | | | | | | | | | | | | (8154) all_4_2 = e1
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | REDUCE: (371), (8154) imply:
% 252.38/49.50 | | | | | | | | | | | | | (8155) ~ (all_52_11 = e1)
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | REDUCE: (373), (8154) imply:
% 252.38/49.50 | | | | | | | | | | | | | (8156) ~ (all_52_13 = e1)
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | REDUCE: (374), (8154) imply:
% 252.38/49.50 | | | | | | | | | | | | | (8157) ~ (all_52_14 = e1)
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | REDUCE: (7134), (8154) imply:
% 252.38/49.50 | | | | | | | | | | | | | (8158) ~ (e3 = e1)
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | BETA: splitting (214) gives:
% 252.38/49.50 | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | (8159) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 252.38/49.50 | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | BETA: splitting (8159) gives:
% 252.38/49.50 | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | (8160) all_56_6 = e1 & op(e1, e3) = e1
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | ALPHA: (8160) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | (8161) op(e1, e3) = e1
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | REF_CLOSE: (163), (7124), (8161), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | inconsistent by sub-proof #3447.
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | (8162) all_56_7 = e1 & op(e1, e2) = e1
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | ALPHA: (8162) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | (8163) op(e1, e2) = e1
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 252.38/49.50 | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | (8164) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | BETA: splitting (8164) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | (8165) all_56_4 = e1 & op(e3, e1) = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7127), (8165), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #788.
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | (8166) all_56_5 = e1 & op(e2, e1) = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | ALPHA: (8166) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | | (8167) all_56_5 = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | (8168) op(e2, e1) = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | (8169) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 252.38/49.50 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | BETA: splitting (8169) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8170) all_56_9 = e1 & op(e3, e0) = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7128), (8170), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8171) all_56_10 = e1 & op(e2, e0) = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8156), (8171), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | (8172) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 252.38/49.50 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | BETA: splitting (8172) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8173) all_56_11 = e1 & op(e1, e0) = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | ALPHA: (8173) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8174) op(e1, e0) = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8157), (8174), (function-axioms) are
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8175) all_56_15 = e1 & op(e0, e0) = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | ALPHA: (8175) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8176) all_56_15 = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (8163) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8177) all_52_6 = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (8168) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8178) all_52_9 = e1
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8177) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8179) ~ (all_52_7 = e1)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | SIMP: (8179) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8180) ~ (all_52_7 = e1)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8177) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8181) ~ (all_52_14 = e1)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8178) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8182) ~ (all_52_11 = e1)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (8178) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8183) ~ (all_8_2 = e1)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | SIMP: (8183) implies:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | (8184) ~ (all_8_2 = e1)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | (8185) all_54_5 = e3
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8185) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | (8186) all_8_2 = e3
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (8186) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | (8187) $false
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | CLOSE: (8187) is inconsistent.
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | (8188) ~ (all_54_5 = e3)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | (8189) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8189) gives:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (8190) all_54_5 = e2
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8190) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (8191) all_8_2 = e2
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (8191) imply:
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | | (8192) ~ (all_52_1 = e2)
% 252.38/49.50 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (8191) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | (8193) ~ (all_52_4 = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (8191) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | (8194) ~ (all_52_7 = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (8191) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | (8195) ~ (all_52_13 = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (8191) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | (8196) op(e2, e2) = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | (8197) ~ (all_28_2 = e0)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8107), (8197) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | (8198) $false
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8198) is inconsistent.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | (8199) ( ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8200) all_54_2 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (8200) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8201) all_52_8 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8201) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8202) all_52_8 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8202) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8203) ~ (all_52_4 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8202) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8204) ~ (all_52_11 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8204) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8205) ~ (all_52_11 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8202) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8206) ~ (all_52_12 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8206) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8207) ~ (all_52_12 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | (8208) all_54_1 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (8203), (8208) are inconsistent by
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2977.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | (8209) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | (8210) all_54_14 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8205), (8210) are inconsistent by
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3151.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | (8211) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8211) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8212) all_54_14 = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (8212) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8213) all_52_11 = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8213) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8214) ~ (all_52_3 = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8209) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8215) all_54_1 = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (8193), (8215) are inconsistent by
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2701.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8216) all_54_1 = e1 | all_54_1 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8216) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217) all_54_1 = e1
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (7126), (8217) are inconsistent by
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2976.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8218) all_54_1 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (8218) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8219) all_52_4 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8219) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8220) all_52_4 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8220) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8221) ~ (all_52_7 = e0)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8221) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222) ~ (all_52_7 = e0)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8223) all_54_13 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (8223) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8224) all_52_7 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8224) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8225) all_52_7 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8225) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8226) ~ (all_52_3 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8227) all_54_12 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (8226), (8227) are inconsistent by
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3005.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8228) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8228) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8229) all_54_12 = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (8214), (8229) are inconsistent by
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3123.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8230) all_54_12 = e1 | all_54_12 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8230) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8231) all_54_12 = e1
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (7125), (8231) are inconsistent by
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8232) all_54_12 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (8232) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8233) all_52_3 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8233) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8234) all_52_3 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (8234) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8235) ~ (all_52_1 = e0)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8236) all_54_4 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (8236) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8237) all_52_1 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8237) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8238) all_52_1 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8238) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8239) ~ (all_52_2 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8239) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8240) ~ (all_52_2 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8238) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8241) ~ (all_52_13 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8241) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8242) ~ (all_52_13 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (164), (168), (196), (212), (262),
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124), (8105), (8108), (8176), (8199), (8207),
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8240), (8242), (function-axioms) are inconsistent
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #785.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8243) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (7123), (8192), (8235), (8243) are
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2680.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (8180), (8194), (8222), (8244) are
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2964.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8245) all_54_14 = e1 | all_54_14 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8112), (8155), (8245) are inconsistent by
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3122.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8246) ~ (all_54_2 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8247) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (274), (8246) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | (8248) ~ (all_52_8 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8247) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | (8249) all_54_2 = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (8249) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | (8250) all_52_8 = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8250) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | (8251) all_52_8 = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8251) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | (8252) ~ (all_52_11 = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8252) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | (8253) ~ (all_52_11 = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8251) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | (8254) ~ (all_52_12 = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8254) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | (8255) ~ (all_52_12 = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | (8256) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (8167), (8248), (8256),
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | #784.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | (8257) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8257) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8258) all_56_8 = e3 & op(e1, e1) = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (8258), (function-axioms) are
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8259) all_56_14 = e3 & op(e0, e1) = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8259) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8260) all_56_14 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (8195), (8255), (8261),
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3451.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8262) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8262) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) all_56_11 = e2 & op(e1, e0) = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8263) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8264) all_56_11 = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8265) all_54_14 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (8265) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8266) all_52_11 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8266) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8267) all_52_11 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (8267) imply:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8268) ~ (all_52_7 = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8269) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8270) all_56_0 = e2 & op(e3, e3) = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8270) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8271) op(e3, e3) = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7132), (8271), (function-axioms) are
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8272) all_56_1 = e2 & op(e3, e2) = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8272) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8273) all_56_1 = e2
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8274) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8274) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8275) all_56_6 = e3 & op(e1, e3) = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8275) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8276) all_56_6 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8277) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8196), (8273), (8277), (function-axioms) are
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2769.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8278) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8278) gives:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8279) all_56_7 = e3 & op(e1, e2) = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8279) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8280) all_56_7 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8281) op(e1, e2) = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (8117),
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118), (8276), (8280), (8281), (function-axioms)
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2684.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282) all_56_13 = e3 & op(e0, e2) = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8282) implies:
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8283) all_56_13 = e3
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (214), (215),
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (7136), (8117), (8118), (8273), (8276),
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8283), (function-axioms) are inconsistent by
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #783.
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.38/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8284) all_56_7 = e3 & op(e1, e2) = e3
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8284) implies:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8285) op(e1, e2) = e3
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8163), (8285), (function-axioms) are
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8286) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8286) gives:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8287) all_56_8 = e3 & op(e1, e1) = e3
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (8287), (function-axioms) are
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8288) all_56_11 = e3 & op(e1, e0) = e3
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8264), (8288) are inconsistent by sub-proof
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3111.
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8289) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8289) gives:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8290) all_56_4 = e2 & op(e3, e1) = e2
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8290) implies:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8291) all_56_4 = e2
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8292) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8292) gives:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8293) all_56_6 = e3 & op(e1, e3) = e3
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8293) implies:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8294) all_56_6 = e3
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8295) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8295) gives:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8296) all_56_0 = e2 & op(e3, e3) = e2
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8296) implies:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8297) op(e3, e3) = e2
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (7128), (8291), (8297), (function-axioms)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2273.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8298) all_56_2 = e2 & op(e2, e3) = e2
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8298) implies:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8299) op(e2, e3) = e2
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8192), (8299), (function-axioms) are
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8300) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8300) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8301) all_56_6 = e2 & op(e1, e3) = e2
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8294), (8301) are inconsistent by sub-proof
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3238.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8302) all_56_12 = e2 & op(e0, e3) = e2
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8302) implies:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8303) all_56_12 = e2
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8304) all_54_13 = e3
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (8304) imply:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8305) all_52_7 = e3
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8268), (8305) imply:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8306) $false
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8306) is inconsistent.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8307) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8308) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8308) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8309) all_56_1 = e3 & op(e3, e2) = e3
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8309) implies:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8310) op(e3, e2) = e3
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8311) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (42), (7136), (8310), (8311),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #809.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8312) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8312) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8313) all_56_7 = e0 & op(e1, e2) = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8313) implies:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8314) all_56_7 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (8117),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118), (8294), (8314), (function-axioms) are
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2847.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8315) all_56_13 = e0 & op(e0, e2) = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8315) implies:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8316) all_56_13 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8317) op(e0, e2) = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8318) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319) all_56_0 = e0 & op(e3, e3) = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8319) implies:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8320) all_56_0 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8321) op(e3, e3) = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (64), (73),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (118), (120), (121),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (128), (133), (134), (135), (136),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (143), (144), (145), (146),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (192), (193), (195), (196), (198),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (201), (202), (203), (206), (207),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (212), (213), (214), (215),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (231), (232), (233),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (241), (242), (249), (250), (252),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (261), (262), (264), (271), (272), (273),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (274), (275), (326), (351), (353), (356), (360),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (371), (372), (373), (374), (375), (377),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7134), (7136), (8107), (8108), (8109), (8110),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8111), (8113), (8316), (8317), (8320), (8321),
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2496.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8322) all_56_1 = e0 & op(e3, e2) = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8322) implies:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8323) op(e3, e2) = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8310), (8323), (function-axioms) are
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8324) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8324) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325) all_56_4 = e0 & op(e3, e1) = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8110), (8325), (function-axioms) are
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326) all_56_9 = e0 & op(e3, e0) = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8326) implies:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327) op(e3, e0) = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8307) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328) all_54_13 = e2
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (8194), (8328) are inconsistent by
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2968.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8329) all_54_13 = e1 | all_54_13 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8329) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8330) all_54_13 = e1
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (8180), (8330) are inconsistent by
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2967.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8331) all_54_13 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (8331) imply:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8332) all_52_7 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8332) implies:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8333) all_52_7 = e0
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8333) imply:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8334) ~ (all_52_3 = e0)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8333) imply:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8335) ~ (all_52_4 = e0)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8336) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8336) gives:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8337) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7124), (8327), (8337), (function-axioms)
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #859.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8338) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8168), (8338), (function-axioms) are inconsistent
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2105.
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8339) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8339) gives:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8340) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8340) gives:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8341) all_57_17 = e3 & ~ (all_57_1 = e1) & ~ (all_57_5
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & op(e3, e3) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e1) = e3 & op(e1, e3) = all_57_5
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_13 & op(e1, e1) = all_57_21
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_29 & $i(all_57_1) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_13) & $i(all_57_21) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8341) implies:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8342) op(e3, e1) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (203), (275), (7126), (8193),
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8335), (8342), (function-axioms) are inconsistent
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2482.
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8343) all_57_19 = e2 & ~ (all_57_5 = e3) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e1) & ~ (all_57_13 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e2,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1, e3) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & $i(all_57_5)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8343) implies:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8344) op(e2, e1) = e2
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8168), (8344), (function-axioms) are
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2789.
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8345) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8345) gives:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8346) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8346) implies:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8347) op(e3, e0) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (203), (275), (7126), (8193),
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8335), (8347), (function-axioms) are inconsistent
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2661.
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8348) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (159), (160), (164), (8112), (8157),
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8195), (8196), (8334), (8348), (function-axioms)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2403.
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8349) all_56_3 = e3 & op(e2, e2) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8349) implies:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8350) op(e2, e2) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8196), (8350), (function-axioms) are
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8351) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8351) gives:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8352) all_56_7 = e3 & op(e1, e2) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8352) implies:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8353) all_56_7 = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8354) op(e1, e2) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (8117),
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118), (8294), (8353), (8354), (function-axioms)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2684.
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8355) all_56_13 = e3 & op(e0, e2) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8355) implies:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8356) all_56_13 = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8357) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8357) gives:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8358) all_56_1 = e0 & op(e3, e2) = e0
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8358) implies:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8359) op(e3, e2) = e0
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8307) gives:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8360) all_54_13 = e2
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (8194), (8360) are inconsistent by
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2968.
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8361) all_54_13 = e1 | all_54_13 = e0
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8362) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8362) gives:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8363) all_56_0 = e3 & op(e3, e3) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8363) implies:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8364) op(e3, e3) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (159), (229), (231), (7125),
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8294), (8303), (8364), (function-axioms) are
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #781.
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8365) all_56_1 = e3 & op(e3, e2) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8365) implies:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8366) op(e3, e2) = e3
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8359), (8366), (function-axioms) are
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.54/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8367) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 252.63/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 252.63/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8367) gives:
% 252.63/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8368) all_56_4 = e3 & op(e3, e1) = e3
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8368) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8369) all_56_4 = e3
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (8117), (8167), (8260),
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8369) are inconsistent by sub-proof #2098.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8370) all_56_9 = e3 & op(e3, e0) = e3
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8370) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8371) op(e3, e0) = e3
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (135), (168), (203), (251), (275), (7126),
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8180), (8193), (8361), (8371), (function-axioms)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2660.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372) all_56_3 = e0 & op(e2, e2) = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (7136), (8372), (function-axioms) are
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8373) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215),
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8117), (8118), (8294), (8356), (8373),
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2658.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8374) all_56_7 = e3 & op(e1, e2) = e3
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8374) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375) op(e1, e2) = e3
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8163), (8375), (function-axioms) are
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8376) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8376) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8377) all_56_8 = e3 & op(e1, e1) = e3
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (8377), (function-axioms) are
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8378) all_56_11 = e3 & op(e1, e0) = e3
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8264), (8378) are inconsistent by sub-proof
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3111.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8379) all_56_9 = e2 & op(e3, e0) = e2
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8255), (8379), (function-axioms) are
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8380) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8112), (8155), (8253), (8380) are
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3121.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8381) all_56_15 = e2 & op(e0, e0) = e2
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8176), (8381) are inconsistent by sub-proof
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3000.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8382) all_54_2 = e1 | all_54_2 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (7127), (8110), (8382) are inconsistent by
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2681.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8383) all_54_5 = e1 | all_54_5 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (7136), (8184), (8383) are inconsistent by
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | sub-proof #3433.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | (8384) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 252.63/49.54 | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | BETA: splitting (8384) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | (8385) all_56_8 = e1 & op(e1, e1) = e1
% 252.63/49.54 | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8117), (8385) are inconsistent by sub-proof
% 252.63/49.54 | | | | | | | | | | | | | | | | | #3057.
% 252.63/49.54 | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | (8386) all_56_14 = e1 & op(e0, e1) = e1
% 252.63/49.54 | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (8155), (8386), (function-axioms) are
% 252.63/49.54 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 252.63/49.54 | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | (8387) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 252.63/49.54 | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 252.63/49.54 | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8117), (8157), (8387),
% 252.63/49.54 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.54 | | | | | | | | | | | | | | #3049.
% 252.63/49.54 | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | (8388) all_56_11 = e0 & op(e1, e0) = e0
% 252.63/49.54 | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | ALPHA: (8388) implies:
% 252.63/49.54 | | | | | | | | | | | | (8389) op(e1, e0) = e0
% 252.63/49.54 | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | REF_CLOSE: (160), (8113), (8389), (function-axioms) are
% 252.63/49.54 | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 252.63/49.54 | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | (8390) all_14_2 = e0
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | COMBINE_EQS: (333), (8390) imply:
% 252.63/49.54 | | | | | | | | | (8391) all_8_2 = e0
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | SIMP: (8391) implies:
% 252.63/49.54 | | | | | | | | | (8392) all_8_2 = e0
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | REDUCE: (351), (8392) imply:
% 252.63/49.54 | | | | | | | | | (8393) ~ (all_52_1 = e0)
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | REDUCE: (354), (8392) imply:
% 252.63/49.54 | | | | | | | | | (8394) ~ (all_52_4 = e0)
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | REDUCE: (356), (8392) imply:
% 252.63/49.54 | | | | | | | | | (8395) ~ (all_52_6 = e0)
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | REDUCE: (358), (8392) imply:
% 252.63/49.54 | | | | | | | | | (8396) ~ (all_52_7 = e0)
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | REDUCE: (360), (8392) imply:
% 252.63/49.54 | | | | | | | | | (8397) ~ (all_52_9 = e0)
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | REDUCE: (377), (8392) imply:
% 252.63/49.54 | | | | | | | | | (8398) ~ (e3 = e0)
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | BETA: splitting (221) gives:
% 252.63/49.54 | | | | | | | | |
% 252.63/49.54 | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | (8399) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 252.63/49.54 | | | | | | | | | | & op(e2, e2) = e0)
% 252.63/49.54 | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | BETA: splitting (8399) gives:
% 252.63/49.54 | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | (8400) all_56_2 = e0 & op(e2, e3) = e0
% 252.63/49.54 | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | ALPHA: (8400) implies:
% 252.63/49.54 | | | | | | | | | | | (8401) op(e2, e3) = e0
% 252.63/49.54 | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | REF_CLOSE: (167), (8393), (8401), (function-axioms) are
% 252.63/49.54 | | | | | | | | | | | inconsistent by sub-proof #780.
% 252.63/49.54 | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | (8402) all_56_3 = e0 & op(e2, e2) = e0
% 252.63/49.54 | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | ALPHA: (8402) implies:
% 252.63/49.54 | | | | | | | | | | | (8403) all_56_3 = e0
% 252.63/49.54 | | | | | | | | | | | (8404) op(e2, e2) = e0
% 252.63/49.54 | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | BETA: splitting (58) gives:
% 252.63/49.54 | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | (8405) ~ (all_18_2 = e0)
% 252.63/49.54 | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | REDUCE: (328), (8405) imply:
% 252.63/49.54 | | | | | | | | | | | | (8406) ~ (all_6_2 = e0)
% 252.63/49.54 | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | BETA: splitting (61) gives:
% 252.63/49.54 | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | (8407) ~ (all_20_2 = e1)
% 252.63/49.54 | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | REDUCE: (322), (8407) imply:
% 252.63/49.54 | | | | | | | | | | | | | (8408) ~ (all_4_2 = e1)
% 252.63/49.54 | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 252.63/49.54 | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | (8409) all_54_15 = e3
% 252.63/49.54 | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | REF_CLOSE: (249), (7134), (8409) are inconsistent by
% 252.63/49.54 | | | | | | | | | | | | | | sub-proof #3475.
% 252.63/49.54 | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | (8410) ~ (all_54_15 = e3)
% 252.63/49.54 | | | | | | | | | | | | | | (8411) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 252.63/49.54 | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | BETA: splitting (8411) gives:
% 252.63/49.54 | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | (8412) all_54_15 = e2
% 252.63/49.54 | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (8412) are inconsistent by sub-proof
% 252.63/49.54 | | | | | | | | | | | | | | | #3474.
% 252.63/49.54 | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | (8413) ~ (all_54_15 = e2)
% 252.63/49.54 | | | | | | | | | | | | | | | (8414) all_54_15 = e1 | all_54_15 = e0
% 252.63/49.54 | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | BETA: splitting (8414) gives:
% 252.63/49.54 | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | (8415) all_54_15 = e1
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8408), (8415) are inconsistent by
% 252.63/49.54 | | | | | | | | | | | | | | | | sub-proof #3473.
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | (8416) all_54_15 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (8416) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | (8417) all_4_2 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | SIMP: (8417) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | (8418) all_4_2 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | REDUCE: (353), (8418) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | (8419) ~ (all_52_3 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | REDUCE: (371), (8418) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | (8420) ~ (all_52_11 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | REDUCE: (372), (8418) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | (8421) ~ (all_52_12 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | REDUCE: (374), (8418) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | (8422) ~ (all_52_14 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | REDUCE: (375), (8418) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | (8423) ~ (e2 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | REDUCE: (8408), (8418) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | (8424) ~ (e1 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | (8425) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | BETA: splitting (8425) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | (8426) all_56_6 = e0 & op(e1, e3) = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | ALPHA: (8426) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | (8427) all_56_6 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | (8428) op(e1, e3) = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | (8429) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (8429) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | (8430) all_56_0 = e0 & op(e3, e3) = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7131), (8430) are inconsistent by sub-proof
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | #2619.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | (8431) all_56_1 = e0 & op(e3, e2) = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8394), (8431), (function-axioms) are
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.54 | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | (8432) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (8432) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | (8433) all_56_4 = e0 & op(e3, e1) = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (8433) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | (8434) all_56_4 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | (8435) op(e3, e1) = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8436) all_56_15 = e0 & op(e0, e0) = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8436) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8437) all_56_15 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8438) op(e0, e0) = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (8428) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8439) all_52_2 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (8435) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8440) all_52_8 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (8439) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8441) ~ (all_52_3 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8439) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8442) ~ (all_52_6 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8440) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8443) ~ (all_52_11 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8440) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8444) ~ (all_52_12 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (8440) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | (8445) ~ (all_6_2 = e0)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | (8446) ~ (all_38_2 = e1)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7122), (8446) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | (8447) $false
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8447) is inconsistent.
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | (8448) ( ~ (all_38_0 = e2) & op(e3, all_38_1) = all_38_0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_38_1 & $i(all_38_0) &
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e0) & op(e3, e1)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8448) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | (8449) ~ (all_38_0 = e2) & op(e3, all_38_1) = all_38_0 &
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_38_1 & $i(all_38_0) &
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8449) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | (8450) ~ (all_38_0 = e2)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | (8451) op(e3, e1) = all_38_1
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | (8452) op(e3, all_38_1) = all_38_0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7121) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8453) ~ (all_10_0 = e0) & op(e3, all_10_1) = all_10_0 &
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8453) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8454) op(e3, e1) = all_10_1
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8455) op(e3, all_10_1) = all_10_0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_38_1,
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (8435), (8451) gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8456) all_38_1 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, e1, e3, simplifying with (8451), (8454)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8457) all_38_1 = all_10_1
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8456), (8457) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8458) all_10_1 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8458) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8459) all_10_1 = e0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8452), (8456) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8460) op(e3, e0) = all_38_0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8455), (8459) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8461) op(e3, e0) = all_10_0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e0, e3, simplifying with (168), (8461)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8462) all_52_12 = all_10_0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | all_38_0, e0, e3, simplifying with (168), (8460)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8463) all_52_12 = all_38_0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8462), (8463) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8464) all_38_0 = all_10_0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8464) implies:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8465) all_38_0 = all_10_0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (8462) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8466) all_54_3 = all_10_0
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8462) imply:
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | (8467) ~ (all_52_4 = all_10_0)
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8462) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8468) ~ (all_52_13 = all_10_0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8468) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8469) ~ (all_52_13 = all_10_0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (8462) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8470) ~ (all_52_14 = all_10_0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8470) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8471) ~ (all_52_14 = all_10_0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7128), (8462) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8472) ~ (all_10_0 = e1)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8421), (8462) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8473) ~ (all_10_0 = e0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8450), (8465) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8474) ~ (all_10_0 = e2)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | (8475) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8475) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8476) all_56_0 = e2 & op(e3, e3) = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8476) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8477) op(e3, e3) = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7132), (8477), (function-axioms) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8478) all_56_1 = e2 & op(e3, e2) = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8478) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) all_56_1 = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) all_54_3 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8466), (8480) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) all_10_0 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8481) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) all_10_0 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8467), (8482) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) ~ (all_52_4 = e3)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8469), (8482) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8484) ~ (all_52_13 = e3)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8471), (8482) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8485) ~ (all_52_14 = e3)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (91), (128),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (157), (158), (159), (160), (162), (164),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (170), (194), (203), (206), (207), (208),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (216), (218), (219),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (226), (227), (241), (275), (336),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (338), (363), (366), (376), (7126), (8394),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8395), (8396), (8403), (8404), (8406), (8419),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8420), (8427), (8428), (8434), (8435), (8437),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438), (8479), (8483), (8484), (8485),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | #777.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8486) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (7128), (8421), (8466), (8474), (8486) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #776.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | (8487) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8487) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8488) all_56_4 = e2 & op(e3, e1) = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8434), (8488) are inconsistent by sub-proof
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | #3173.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8489) all_56_9 = e2 & op(e3, e0) = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8489) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8490) all_56_9 = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8491) all_54_3 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8466), (8491) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8492) all_10_0 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8492) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8493) all_10_0 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8469), (8493) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8494) ~ (all_52_13 = e3)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8471), (8493) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495) ~ (all_52_14 = e3)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (206), (207), (208), (212), (218),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (376), (8396), (8419), (8434),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8490), (8494), (8495), (function-axioms) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #775.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (7128), (8421), (8466), (8474), (8496) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #776.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8497) ~ (all_10_1 = e2) & op(e3, e1) = all_10_1 &
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8497) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8498) ~ (all_10_1 = e2)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8499) op(e3, e1) = all_10_1
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_38_1,
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (8435), (8451) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8500) all_38_1 = e0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, e1, e3, simplifying with (8451), (8499)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8501) all_38_1 = all_10_1
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8500), (8501) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8502) all_10_1 = e0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8502) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8503) all_10_1 = e0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8452), (8500) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8504) op(e3, e0) = all_38_0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | all_38_0, e0, e3, simplifying with (168), (8504)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8505) all_52_12 = all_38_0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (8505) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8506) all_54_3 = all_38_0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8505) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8507) ~ (all_52_4 = all_38_0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8505) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8508) ~ (all_52_13 = all_38_0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8508) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8509) ~ (all_52_13 = all_38_0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (8505) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8510) ~ (all_52_14 = all_38_0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8510) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8511) ~ (all_52_14 = all_38_0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7128), (8505) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8512) ~ (all_38_0 = e1)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8421), (8505) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | (8513) ~ (all_38_0 = e0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | (8514) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8514) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8515) all_56_0 = e2 & op(e3, e3) = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8515) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8516) op(e3, e3) = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7132), (8516), (function-axioms) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8517) all_56_1 = e2 & op(e3, e2) = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8517) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8518) all_56_1 = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8519) all_54_3 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8506), (8519) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520) all_38_0 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8520) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8521) all_38_0 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8507), (8521) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8522) ~ (all_52_4 = e3)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8509), (8521) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8523) ~ (all_52_13 = e3)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8511), (8521) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8524) ~ (all_52_14 = e3)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (91), (128),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (157), (158), (159), (160), (162), (164),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (170), (194), (203), (206), (207), (208),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (216), (218), (219),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (226), (227), (241), (275), (336),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (338), (363), (366), (376), (7126), (8394),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8395), (8396), (8403), (8404), (8406), (8419),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8420), (8427), (8428), (8434), (8435), (8437),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438), (8518), (8522), (8523), (8524),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | #777.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8525) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (7128), (8421), (8450), (8506), (8525) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #774.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | (8526) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8526) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8527) all_56_4 = e2 & op(e3, e1) = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8434), (8527) are inconsistent by sub-proof
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | #3173.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8528) all_56_9 = e2 & op(e3, e0) = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8528) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (8529) all_56_9 = e2
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8530) all_54_3 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8506), (8530) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8531) all_38_0 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8531) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8532) all_38_0 = e3
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8509), (8532) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8533) ~ (all_52_13 = e3)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8511), (8532) imply:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8534) ~ (all_52_14 = e3)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (206), (207), (208), (212), (218),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (376), (8396), (8419), (8434),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8529), (8533), (8534), (function-axioms) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #775.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8535) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (7128), (8421), (8450), (8506), (8535) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #774.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | (8536) ~ (all_38_1 = e0) & op(e3, e1) = all_38_1 &
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8536) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | (8537) ~ (all_38_1 = e0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | (8538) op(e3, e1) = all_38_1
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8435), (8537), (8538), (function-axioms) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #846.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | (8539) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8539) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | (8540) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (8396), (8419), (8420),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | (8540), (function-axioms) are inconsistent by
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | | sub-proof #3078.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | (8541) all_56_9 = e0 & op(e3, e0) = e0
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8421), (8541), (function-axioms) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | (8542) all_56_7 = e0 & op(e1, e2) = e0
% 252.63/49.55 | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | ALPHA: (8542) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | | | | (8543) all_56_7 = e0
% 252.63/49.55 | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 252.63/49.55 | | | | | | | | | | | | | | | | | | (8403), (8543) are inconsistent by sub-proof
% 252.63/49.55 | | | | | | | | | | | | | | | | | | #3252.
% 252.63/49.55 | | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | (8544) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 252.63/49.55 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 252.63/49.55 | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (8406), (8422), (8544),
% 252.63/49.55 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.55 | | | | | | | | | | | | | | | | | #3081.
% 252.63/49.55 | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | End of split
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | (8545) all_20_2 = e1
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | COMBINE_EQS: (322), (8545) imply:
% 252.63/49.55 | | | | | | | | | | | | | (8546) all_4_2 = e1
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | SIMP: (8546) implies:
% 252.63/49.55 | | | | | | | | | | | | | (8547) all_4_2 = e1
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | REDUCE: (364), (8547) imply:
% 252.63/49.55 | | | | | | | | | | | | | (8548) ~ (all_52_7 = e1)
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | REDUCE: (373), (8547) imply:
% 252.63/49.55 | | | | | | | | | | | | | (8549) ~ (all_52_13 = e1)
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | REDUCE: (374), (8547) imply:
% 252.63/49.55 | | | | | | | | | | | | | (8550) ~ (all_52_14 = e1)
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | REDUCE: (7134), (8547) imply:
% 252.63/49.55 | | | | | | | | | | | | | (8551) ~ (e3 = e1)
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | REDUCE: (375), (8547) imply:
% 252.63/49.55 | | | | | | | | | | | | | (8552) ~ (e2 = e1)
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | BETA: splitting (226) gives:
% 252.63/49.55 | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | (8553) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 252.63/49.55 | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 252.63/49.55 | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (7126), (8403), (8553),
% 252.63/49.55 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.55 | | | | | | | | | | | | | | #773.
% 252.63/49.55 | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | (8554) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 252.63/49.55 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 252.63/49.55 | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | BETA: splitting (8554) gives:
% 252.63/49.55 | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | (8555) all_56_7 = e1 & op(e1, e2) = e1
% 252.63/49.55 | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | ALPHA: (8555) implies:
% 252.63/49.55 | | | | | | | | | | | | | | | (8556) all_56_7 = e1
% 252.63/49.55 | | | | | | | | | | | | | | | (8557) op(e1, e2) = e1
% 252.63/49.55 | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 252.63/49.55 | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | (8558) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 252.63/49.55 | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 252.63/49.55 | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | BETA: splitting (8558) gives:
% 252.63/49.55 | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.55 | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | (8559) all_56_9 = e1 & op(e3, e0) = e1
% 252.63/49.55 | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7128), (8559), (function-axioms) are
% 252.63/49.55 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 252.63/49.55 | | | | | | | | | | | | | | | | |
% 252.63/49.55 | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.55 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | (8560) all_56_10 = e1 & op(e2, e0) = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8549), (8560), (function-axioms) are
% 252.63/49.56 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 252.63/49.56 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | End of split
% 252.63/49.56 | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | (8561) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 252.63/49.56 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 252.63/49.56 | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | BETA: splitting (8561) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | (8562) all_56_11 = e1 & op(e1, e0) = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | ALPHA: (8562) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | (8563) op(e1, e0) = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8550), (8563), (function-axioms) are
% 252.63/49.56 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 252.63/49.56 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | (8564) all_56_15 = e1 & op(e0, e0) = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | ALPHA: (8564) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | (8565) all_56_15 = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | (8566) op(e0, e0) = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | (8567) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | BETA: splitting (8567) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8568) all_56_2 = e1 & op(e2, e3) = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | ALPHA: (8568) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8569) op(e2, e3) = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8569) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8570) all_52_1 = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | REDUCE: (7123), (8570) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8571) $false
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | CLOSE: (8571) is inconsistent.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8572) all_56_3 = e1 & op(e2, e2) = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | ALPHA: (8572) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8573) all_56_3 = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8403), (8573) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8574) e1 = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | SIMP: (8574) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8575) e1 = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8556), (8575) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8576) all_56_7 = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8403), (8576) are inconsistent by sub-proof
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | #3252.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.56 | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | (8577) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | BETA: splitting (8577) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8578) all_56_5 = e1 & op(e2, e1) = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | ALPHA: (8578) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8579) all_56_5 = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8580) op(e2, e1) = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (8557) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8581) all_52_6 = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (8580) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8582) all_52_9 = e1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8581) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8583) ~ (all_52_7 = e1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8581) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8584) ~ (all_52_14 = e1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8582) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8585) ~ (all_52_11 = e1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | SIMP: (8585) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8586) ~ (all_52_11 = e1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | REDUCE: (366), (8582) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8587) ~ (all_6_2 = e1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | SIMP: (8587) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | (8588) ~ (all_6_2 = e1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | (8589) all_54_10 = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (8589) are inconsistent by sub-proof
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | #3450.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | (8590) ~ (all_54_10 = e3)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | (8591) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8591) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | (8592) all_54_10 = e2
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (8592) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | (8593) all_6_2 = e2
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | SIMP: (8593) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | (8594) all_6_2 = e2
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (8594) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | (8595) ~ (all_52_8 = e2)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (8594) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | (8596) ~ (all_52_11 = e2)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (8594) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | (8597) ~ (e3 = e2)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (8594) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | (8598) op(e1, e1) = e2
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | (8599) ~ (all_38_2 = e1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7122), (8599) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | (8600) $false
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8600) is inconsistent.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | (8601) ( ~ (all_38_0 = e2) & op(e3, all_38_1) = all_38_0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_38_1 & $i(all_38_0) &
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e0) & op(e3, e1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | (8602) all_54_1 = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (8602) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | (8603) all_52_4 = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8603) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | (8604) all_52_4 = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8604) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | (8605) ~ (all_52_8 = e3)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8605) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | (8606) ~ (all_52_8 = e3)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8604) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | (8607) ~ (all_52_12 = e3)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8607) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | (8608) ~ (all_52_12 = e3)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (8604) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | (8609) op(e3, e2) = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | (8610) all_54_2 = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (8610) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | (8611) all_52_8 = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8606), (8611) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | (8612) $false
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8612) is inconsistent.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | (8613) ~ (all_54_2 = e3)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | (8614) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | (8615) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (8579), (8606), (8615),
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | #784.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | (8616) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8616) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (8617) all_56_8 = e3 & op(e1, e1) = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (8617), (function-axioms) are
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (8618) all_56_14 = e3 & op(e0, e1) = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8618) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (8619) all_56_14 = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8620) (all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_9 & $i(all_57_9)) |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = all_57_11 & op(all_57_11, e2) =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e2) = all_57_11 &
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8620) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8621) all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_9 & $i(all_57_9)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8621) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8622) op(e3, e2) = all_57_9
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8623) op(all_57_9, e3) = all_57_9
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8624) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8624) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8625) all_56_4 = e0 & op(e3, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8625) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8626) op(e3, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7132), (8601), (8609), (8622), (8623),
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8626), (function-axioms) are inconsistent by
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #772.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8627) all_56_5 = e0 & op(e2, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8627) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8628) op(e2, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8397), (8628), (function-axioms) are
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8629) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8598), (8619), (8629),
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2364.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8630) all_57_10 = all_57_11 & op(all_57_11, e2) =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e2) = all_57_11 & $i(all_57_11)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8630) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8631) op(e2, e2) = all_57_11
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8632) op(all_57_11, e2) = all_57_11
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8633) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8633) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8634) all_56_4 = e0 & op(e3, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8634) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8635) op(e3, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8601) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11, e2, e2, simplifying with (8404), (8631)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8636) all_57_11 = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8636) imply:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8637) op(e0, e2) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8396), (8637), (function-axioms) are
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8638) ~ (all_38_1 = e0) & op(e3, e1) = all_38_1 &
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8638) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8639) ~ (all_38_1 = e0)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8640) op(e3, e1) = all_38_1
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8635), (8639), (8640), (function-axioms) are
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #846.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8641) all_56_5 = e0 & op(e2, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8641) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8642) op(e2, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8397), (8642), (function-axioms) are
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8643) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8598), (8619), (8643),
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2364.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8644) (all_57_12 = all_57_13 & op(all_57_13, e1) =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 &
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_14 = all_57_15 &
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_15, e0) = all_57_15 & op(e0, e2) =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15))
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8644) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) all_57_12 = all_57_13 & op(all_57_13, e1) =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 & $i(all_57_13)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8645) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8646) op(e1, e2) = all_57_13
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8647) op(all_57_13, e1) = all_57_13
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8648) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8648) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8649) all_56_4 = e0 & op(e3, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8649) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8650) op(e3, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8557), (8598), (8601), (8646), (8647),
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8650), (function-axioms) are inconsistent by
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #771.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8651) all_56_5 = e0 & op(e2, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8651) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652) op(e2, e1) = e0
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8397), (8652), (function-axioms) are
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8653) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8598), (8619), (8653),
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2364.
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8654) all_57_14 = all_57_15 & op(all_57_15, e0) =
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = all_57_15 & $i(all_57_15)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8654) implies:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8655) op(e0, e2) = all_57_15
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8656) op(all_57_15, e0) = all_57_15
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8657) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8657) gives:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8658) all_56_1 = e3 & op(e3, e2) = e3
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8658) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8659) all_56_1 = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8660) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8660) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8661) all_56_1 = e2 & op(e3, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (8598), (8619), (8659), (8661),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2376.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8662) all_56_3 = e2 & op(e2, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8403), (8662) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3396.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8663) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8663) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8664) all_56_7 = e2 & op(e1, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8664) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8665) all_56_7 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (376), (8598), (8665), (function-axioms)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3082.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8666) all_56_13 = e2 & op(e0, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8666) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8667) op(e0, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8614) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8668) all_54_2 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (8595), (8668) are inconsistent by
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2432.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8669) all_54_2 = e1 | all_54_2 = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8669) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8670) all_54_2 = e1
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (7127), (8670) are inconsistent by
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2683.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8671) all_54_2 = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (8671) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8672) all_52_8 = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8672) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8673) all_52_8 = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8673) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8674) ~ (all_52_12 = e0)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8674) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8675) ~ (all_52_12 = e0)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (8673) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8676) op(e3, e1) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (201), (273), (7128), (8601),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8608), (8655), (8656), (8667), (8675), (8676),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #844.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8677) all_56_3 = e3 & op(e2, e2) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8403), (8677) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2312.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8678) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8678) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8679) all_56_7 = e3 & op(e1, e2) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8679) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8680) op(e1, e2) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8557), (8680), (function-axioms) are
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8681) all_56_13 = e3 & op(e0, e2) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8681) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8682) all_56_13 = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8683) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8683) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8684) all_56_12 = e2 & op(e0, e3) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8684) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8685) all_56_12 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8686) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8686) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8687) all_56_4 = e0 & op(e3, e1) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8687) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8688) all_56_4 = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8689) op(e3, e1) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8690) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8690) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8691) all_56_0 = e3 & op(e3, e3) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8691) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8692) op(e3, e3) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7132), (8692), (function-axioms) are
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8693) all_56_1 = e3 & op(e3, e2) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8693) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694) all_56_1 = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8695) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8695) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8696) all_56_0 = e0 & op(e3, e3) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8696) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8697) all_56_0 = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8698) op(e3, e3) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (232), (234),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (8608), (8688), (8694), (8697), (8698),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2590.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8699) all_56_2 = e0 & op(e2, e3) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8699) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8700) op(e2, e3) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8393), (8700), (function-axioms) are
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #780.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8701) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8701) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8702) all_56_6 = e0 & op(e1, e3) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8702) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8703) all_56_6 = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8704) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8704) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8705) all_56_1 = e2 & op(e3, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8705) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8706) all_56_1 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8694), (8706) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8707) e3 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8682), (8707) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8708) all_56_13 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (228), (8403), (8556), (8706),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8708) are inconsistent by sub-proof #2991.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8709) all_56_3 = e2 & op(e2, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8403), (8709) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3396.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8710) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8710) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8711) all_56_7 = e2 & op(e1, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8711) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8712) all_56_7 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (214), (216),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (8598), (8703), (8712), (function-axioms)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3090.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8713) all_56_13 = e2 & op(e0, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (8403),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8682), (8694), (8713) are inconsistent by
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1191.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8714) all_56_12 = e0 & op(e0, e3) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8685), (8714) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2963.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8715) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8715) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8716) all_56_4 = e3 & op(e3, e1) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8716) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8717) op(e3, e1) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8689), (8717), (function-axioms) are
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2333.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8718) all_56_9 = e3 & op(e3, e0) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8718) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8719) op(e3, e0) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8608), (8719), (function-axioms) are
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8720) all_56_5 = e0 & op(e2, e1) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8720) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8721) op(e2, e1) = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8397), (8721), (function-axioms) are
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8722) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8598), (8619), (8722),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2364.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8723) all_56_13 = e2 & op(e0, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8723) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8724) all_56_13 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8682), (8724) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8725) e3 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (8598), (8619), (8725),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2872.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8726) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (8565), (8598), (8726),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #891.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | (8727) ~ (all_54_1 = e3)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | (8728) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (275), (8727) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | (8729) ~ (all_52_4 = e3)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | (8730) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (8403), (8729), (8730),
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | #2141.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | (8731) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8731) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | (8732) all_56_7 = e3 & op(e1, e2) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8732) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | (8733) op(e1, e2) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8557), (8733), (function-axioms) are
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | (8734) all_56_13 = e3 & op(e0, e2) = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8734) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | (8735) all_56_13 = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8736) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) all_56_1 = e2 & op(e3, e2) = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8737) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) all_56_1 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8728) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8739) all_54_1 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (8739) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740) all_52_4 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8740) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8741) all_52_4 = e2
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8741) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742) ~ (all_52_7 = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8742) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743) ~ (all_52_7 = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8741) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8744) ~ (all_52_8 = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8741) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745) ~ (all_52_12 = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8745) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8746) ~ (all_52_12 = e2)
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8747) all_54_13 = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (8747) imply:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8748) all_52_7 = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8748) implies:
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8749) all_52_7 = e3
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8749) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8750) ~ (all_52_3 = e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (8749) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8751) ~ (all_52_11 = e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8751) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752) ~ (all_52_11 = e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8753) all_54_14 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8752), (8753) are inconsistent by
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3151.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8754) ~ (all_54_14 = e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8755) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8756) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8756) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8757) all_56_9 = e2 & op(e3, e0) = e2
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8746), (8757), (function-axioms) are
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8758) all_56_10 = e2 & op(e2, e0) = e2
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8758) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8759) all_56_10 = e2
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8760) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8760) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8761) all_56_2 = e3 & op(e2, e3) = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8761) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762) all_56_2 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8763) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8763) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8764) all_56_0 = e0 & op(e3, e3) = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8764) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8765) all_56_0 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7131), (8765) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8766) e1 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8579), (8766) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767) all_56_5 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8403), (8762), (8767) are inconsistent by
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3319.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8768) all_56_2 = e0 & op(e2, e3) = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8768) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8769) all_56_2 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (8403),
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8759), (8769) are inconsistent by sub-proof
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3370.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8770) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8770) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8771) all_56_6 = e0 & op(e1, e3) = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8771) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8772) all_56_6 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8755) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8773) all_54_14 = e2
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (8773) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8774) all_52_11 = e2
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8596), (8774) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8775) $false
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8775) is inconsistent.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8776) ~ (all_54_14 = e2)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8777) all_54_14 = e1 | all_54_14 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8777) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8778) all_54_14 = e1
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (8778) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8779) all_52_11 = e1
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (8779) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780) $false
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8780) is inconsistent.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781) all_54_14 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (8781) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8782) all_52_11 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8782) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8783) ~ (all_52_3 = e0)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8782) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8784) ~ (all_52_8 = e0)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8596), (8782) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8785) ~ (e2 = e0)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (8782) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8786) ~ (e1 = e0)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8787) all_54_12 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (8787) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8788) all_52_3 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8750), (8788) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8789) $false
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8789) is inconsistent.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8790) ~ (all_54_12 = e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8792) all_54_2 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (8792) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8793) all_52_8 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8793) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794) all_52_8 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8794) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8795) ~ (all_52_12 = e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8795) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8796) ~ (all_52_12 = e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8797) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8798) all_56_6 = e3 & op(e1, e3) = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (8403),
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8759), (8762), (8772), (8798) are inconsistent by
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1083.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799) all_56_7 = e3 & op(e1, e2) = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8799) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8800) all_56_7 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (225), (226), (8735),
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738), (8800) are inconsistent by sub-proof
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2901.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8801) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8801) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8802) all_56_8 = e3 & op(e1, e1) = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (8802), (function-axioms) are
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8803) all_56_11 = e3 & op(e1, e0) = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8803) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8804) all_56_11 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8791) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8805) all_54_12 = e2
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (8805) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8806) all_52_3 = e2
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8806) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8807) all_52_3 = e2
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (8807) imply:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8808) ~ (all_52_1 = e2)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8809) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8809) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8810) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8810) gives:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8811) all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8811) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8812) op(e2, e3) = e2
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8808), (8812), (function-axioms) are
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8813) all_57_5 = e1 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_21 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e1, e3) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_21 & $i(all_57_1) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_21) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8813) implies:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8814) op(e1, e3) = e1
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (222), (224),
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (8403), (8598), (8759),
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762), (8804), (8814), (function-axioms) are
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2288.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8815) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8580), (8815), (function-axioms) are inconsistent
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2105.
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8816) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8816) gives:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8817) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7132), (8580), (8817), (function-axioms) are
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #893.
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8818) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8818) gives:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8819) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8819) implies:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8820) op(e3, e0) = e3
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8796), (8820), (function-axioms) are
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8821) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8821) gives:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8822) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8822) implies:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8823) ~ (all_57_11 = e0)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8824) op(e2, e2) = all_57_11
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8404), (8823), (8824), (function-axioms) are
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8825) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (160), (8396), (8550), (8566),
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8783), (8825), (function-axioms) are inconsistent
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2969.
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8826) all_54_12 = e1 | all_54_12 = e0
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (7125), (8783), (8826) are inconsistent by
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3002.
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8827) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (7127), (8595), (8784), (8827) are
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2431.
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8828) all_56_12 = e0 & op(e0, e3) = e0
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8828) implies:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8829) op(e0, e3) = e0
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (159), (190), (250), (8586), (8596),
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752), (8829), (function-axioms) are inconsistent
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2319.
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8830) all_56_3 = e3 & op(e2, e2) = e3
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8403), (8830) are inconsistent by sub-proof
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2312.
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8831) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8831) gives:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8832) all_56_5 = e3 & op(e2, e1) = e3
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8832) implies:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8833) all_56_5 = e3
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8579), (8833) are inconsistent by sub-proof
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3223.
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8834) all_56_10 = e3 & op(e2, e0) = e3
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8834) implies:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8835) all_56_10 = e3
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8759), (8835) imply:
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836) e3 = e2
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8735), (8836) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8837) all_56_13 = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (228), (8403), (8556), (8738),
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8837) are inconsistent by sub-proof #2991.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8838) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8838) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8839) all_56_11 = e2 & op(e1, e0) = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8839) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8840) all_56_11 = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8841) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8841) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842) all_56_6 = e3 & op(e1, e3) = e3
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8842) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8843) all_56_6 = e3
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8844) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8844) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8845) all_56_0 = e0 & op(e3, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8845) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8846) all_56_0 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7131), (8846) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) e1 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8556), (8847) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) all_56_7 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8403), (8735), (8848) are inconsistent by
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2926.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) all_56_2 = e0 & op(e2, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8849) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) op(e2, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8393), (8850), (function-axioms) are
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #780.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8851) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) all_56_6 = e0 & op(e1, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8843), (8852) are inconsistent by sub-proof
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3290.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8853) all_56_12 = e0 & op(e0, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8853) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8854) op(e0, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (159), (190), (250), (8586), (8596),
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752), (8854), (function-axioms) are inconsistent
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2319.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8855) all_56_7 = e3 & op(e1, e2) = e3
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8855) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8856) all_56_7 = e3
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (225), (226), (8735),
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738), (8856) are inconsistent by sub-proof
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2901.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8857) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8858) all_56_8 = e3 & op(e1, e1) = e3
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (8858), (function-axioms) are
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8859) all_56_11 = e3 & op(e1, e0) = e3
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8859) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8860) all_56_11 = e3
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8840), (8860) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8861) e3 = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8735), (8861) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) all_56_13 = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (228), (8403), (8556), (8738),
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) are inconsistent by sub-proof #2991.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8863) all_56_15 = e2 & op(e0, e0) = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8863) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864) all_56_15 = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8565), (8864) are inconsistent by sub-proof
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3014.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (8396), (8548), (8743), (8865) are
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2964.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8866) all_54_1 = e1 | all_54_1 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (7126), (8394), (8866) are inconsistent by
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2974.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8867) all_56_3 = e2 & op(e2, e2) = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8403), (8867) are inconsistent by sub-proof
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3396.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (8868) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8868) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) all_56_7 = e2 & op(e1, e2) = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8869) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) all_56_7 = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (376), (8598), (8870), (function-axioms)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3082.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8871) all_56_13 = e2 & op(e0, e2) = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8871) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8872) all_56_13 = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8735), (8872) are inconsistent by sub-proof
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3266.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | (8873) all_54_10 = e1 | all_54_10 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (8406), (8588), (8873) are inconsistent by
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | sub-proof #2866.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | (8874) all_56_10 = e1 & op(e2, e0) = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | ALPHA: (8874) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | (8875) op(e2, e0) = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (8875) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | (8876) all_52_13 = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | REDUCE: (8549), (8876) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | (8877) $false
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | CLOSE: (8877) is inconsistent.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | (8878) all_56_13 = e1 & op(e0, e2) = e1
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | ALPHA: (8878) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | (8879) op(e0, e2) = e1
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | REF_CLOSE: (158), (8548), (8879), (function-axioms) are
% 252.63/49.60 | | | | | | | | | | | | | | | inconsistent by sub-proof #3152.
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | (8880) all_18_2 = e0
% 252.63/49.60 | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | COMBINE_EQS: (328), (8880) imply:
% 252.63/49.60 | | | | | | | | | | | | (8881) all_6_2 = e0
% 252.63/49.60 | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | SIMP: (8881) implies:
% 252.63/49.60 | | | | | | | | | | | | (8882) all_6_2 = e0
% 252.63/49.60 | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | REDUCE: (352), (8882) imply:
% 252.63/49.60 | | | | | | | | | | | | (8883) ~ (all_52_2 = e0)
% 252.63/49.60 | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | REDUCE: (365), (8882) imply:
% 252.63/49.60 | | | | | | | | | | | | (8884) ~ (all_52_8 = e0)
% 252.63/49.60 | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | REDUCE: (370), (8882) imply:
% 252.63/49.60 | | | | | | | | | | | | (8885) ~ (all_52_14 = e0)
% 252.63/49.60 | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | BETA: splitting (230) gives:
% 252.63/49.60 | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | (8886) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 252.63/49.60 | | | | | | | | | | | | | & op(e3, e2) = e0)
% 252.63/49.60 | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | BETA: splitting (8886) gives:
% 252.63/49.60 | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | (8887) all_56_0 = e0 & op(e3, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | REF_CLOSE: (4), (7131), (8887) are inconsistent by sub-proof
% 252.63/49.60 | | | | | | | | | | | | | | #2619.
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | (8888) all_56_1 = e0 & op(e3, e2) = e0
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | REF_CLOSE: (170), (8394), (8888), (function-axioms) are
% 252.63/49.60 | | | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | End of split
% 252.63/49.60 | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | (8889) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 252.63/49.60 | | | | | | | | | | | | | & op(e3, e0) = e0)
% 252.63/49.60 | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | BETA: splitting (8889) gives:
% 252.63/49.60 | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | (8890) all_56_4 = e0 & op(e3, e1) = e0
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | REF_CLOSE: (169), (8884), (8890), (function-axioms) are
% 252.63/49.60 | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | (8891) all_56_9 = e0 & op(e3, e0) = e0
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | ALPHA: (8891) implies:
% 252.63/49.60 | | | | | | | | | | | | | | (8892) all_56_9 = e0
% 252.63/49.60 | | | | | | | | | | | | | | (8893) op(e3, e0) = e0
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 252.63/49.60 | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | (8894) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (226), (227),
% 252.63/49.60 | | | | | | | | | | | | | | | (228), (8403), (8883), (8894), (function-axioms)
% 252.63/49.60 | | | | | | | | | | | | | | | are inconsistent by sub-proof #2272.
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | (8895) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 252.63/49.60 | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | BETA: splitting (8895) gives:
% 252.63/49.60 | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | (8896) all_56_8 = e0 & op(e1, e1) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | ALPHA: (8896) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | (8897) all_56_8 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | (8898) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 252.63/49.60 | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (7131), (8393), (8898),
% 252.63/49.60 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.60 | | | | | | | | | | | | | | | | | #770.
% 252.63/49.60 | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | (8899) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 252.63/49.60 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 252.63/49.60 | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | BETA: splitting (8899) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | (8900) all_56_6 = e0 & op(e1, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | ALPHA: (8900) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | (8901) op(e1, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8883), (8901), (function-axioms) are
% 252.63/49.60 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3353.
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | (8902) all_56_12 = e0 & op(e0, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | ALPHA: (8902) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | (8903) op(e0, e3) = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 252.63/49.60 | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (8903) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | (8904) all_52_3 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 252.63/49.60 | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (8893) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | (8905) all_52_12 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | REDUCE: (139), (8904) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | (8906) ~ (all_52_11 = e0)
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | SIMP: (8906) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | (8907) ~ (all_52_11 = e0)
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | REDUCE: (372), (8905) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | (8908) ~ (all_4_2 = e0)
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | SIMP: (8908) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | (8909) ~ (all_4_2 = e0)
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | (8910) all_54_15 = e3
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7134), (8910) are inconsistent by
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | sub-proof #3475.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | (8911) ~ (all_54_15 = e3)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | (8912) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (8912) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | (8913) all_54_15 = e2
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (8913) are inconsistent by sub-proof
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | #3474.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | (8914) ~ (all_54_15 = e2)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | (8915) all_54_15 = e1 | all_54_15 = e0
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8915) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | (8916) all_54_15 = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (8916) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | (8917) all_4_2 = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | SIMP: (8917) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | (8918) all_4_2 = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (8918) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | (8919) ~ (all_52_7 = e1)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (8918) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | (8920) ~ (all_52_11 = e1)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7134), (8918) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | (8921) ~ (e3 = e1)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (8918) imply:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | (8922) ~ (e2 = e1)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | (8923) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (7126), (8403), (8923),
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | #773.
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | (8924) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8924) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | (8925) all_56_7 = e1 & op(e1, e2) = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8925) implies:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | (8926) all_56_7 = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | (8927) op(e1, e2) = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | (8928) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 252.63/49.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8928) gives:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8929) all_56_4 = e1 & op(e3, e1) = e1
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8929) implies:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8930) all_56_4 = e1
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8931) op(e3, e1) = e1
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (7132),
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8892), (8893), (8930), (8931), (function-axioms)
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #768.
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8932) all_56_5 = e1 & op(e2, e1) = e1
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (126), (143), (157), (160), (162),
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (241), (7132), (8404), (8893),
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8907), (8927), (8932), (function-axioms) are
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #766.
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | (8933) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8933) gives:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8934) all_56_8 = e1 & op(e1, e1) = e1
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8934) implies:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8935) all_56_8 = e1
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8897), (8935) imply:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8936) e1 = e0
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8936) implies:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8937) e1 = e0
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8926), (8937) imply:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8938) all_56_7 = e0
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8403), (8938) are inconsistent by sub-proof
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | #3252.
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8939) all_56_14 = e1 & op(e0, e1) = e1
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (8920), (8939), (function-axioms) are
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | (8940) all_56_13 = e1 & op(e0, e2) = e1
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8940) implies:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | (8941) op(e0, e2) = e1
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8919), (8941), (function-axioms) are
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3152.
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | (8942) all_54_15 = e0
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8909), (8942) are inconsistent by
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | | sub-proof #2676.
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | (8943) all_56_11 = e0 & op(e1, e0) = e0
% 252.63/49.61 | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | ALPHA: (8943) implies:
% 252.63/49.61 | | | | | | | | | | | | | | | | (8944) op(e1, e0) = e0
% 252.63/49.61 | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8885), (8944), (function-axioms) are
% 252.63/49.61 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 252.63/49.61 | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | (8945) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 252.63/49.61 | | | | | | | | | | e0 & op(e2, e0) = e0)
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (165),
% 252.63/49.61 | | | | | | | | | | (170), (222), (223), (224), (225), (8394), (8395),
% 252.63/49.61 | | | | | | | | | | (8396), (8397), (8945), (function-axioms) are
% 252.63/49.61 | | | | | | | | | | inconsistent by sub-proof #764.
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | |
% 252.63/49.61 | | | | | | | | End of split
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | (8946) all_12_2 = e3
% 252.63/49.61 | | | | | | | | (8947) ( ~ (all_12_0 = e1) & op(e0, all_12_1) = all_12_0 &
% 252.63/49.61 | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) & $i(all_12_1))
% 252.63/49.61 | | | | | | | | | ( ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 252.63/49.61 | | | | | | | | $i(all_12_1))
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | COMBINE_EQS: (334), (8946) imply:
% 252.63/49.61 | | | | | | | | (8948) all_4_2 = e3
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | COMBINE_EQS: (335), (8948) imply:
% 252.63/49.61 | | | | | | | | (8949) all_26_2 = e3
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | REDUCE: (353), (8948) imply:
% 252.63/49.61 | | | | | | | | (8950) ~ (all_52_3 = e3)
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | REDUCE: (364), (8948) imply:
% 252.63/49.61 | | | | | | | | (8951) ~ (all_52_7 = e3)
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | REDUCE: (371), (8948) imply:
% 252.63/49.61 | | | | | | | | (8952) ~ (all_52_11 = e3)
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | REDUCE: (372), (8948) imply:
% 252.63/49.61 | | | | | | | | (8953) ~ (all_52_12 = e3)
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | REDUCE: (373), (8948) imply:
% 252.63/49.61 | | | | | | | | (8954) ~ (all_52_13 = e3)
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | REDUCE: (374), (8948) imply:
% 252.63/49.61 | | | | | | | | (8955) ~ (all_52_14 = e3)
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | BETA: splitting (212) gives:
% 252.63/49.61 | | | | | | | |
% 252.63/49.61 | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | |
% 252.63/49.61 | | | | | | | | | (8956) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3
% 252.63/49.61 | | | | | | | | | & op(e2, e0) = e3)
% 252.63/49.61 | | | | | | | | |
% 252.63/49.61 | | | | | | | | | REF_CLOSE: (164), (168), (8953), (8954), (8956),
% 252.63/49.61 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.61 | | | | | | | | | #3006.
% 252.63/49.61 | | | | | | | | |
% 252.63/49.61 | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | |
% 252.63/49.61 | | | | | | | | | (8957) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3
% 252.63/49.61 | | | | | | | | | & op(e0, e0) = e3)
% 252.63/49.61 | | | | | | | | |
% 252.63/49.61 | | | | | | | | | BETA: splitting (8957) gives:
% 252.63/49.61 | | | | | | | | |
% 252.63/49.61 | | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | (8958) all_56_11 = e3 & op(e1, e0) = e3
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | ALPHA: (8958) implies:
% 252.63/49.61 | | | | | | | | | | (8959) op(e1, e0) = e3
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | REF_CLOSE: (160), (8955), (8959), (function-axioms) are
% 252.63/49.61 | | | | | | | | | | inconsistent by sub-proof #3141.
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | (8960) all_56_15 = e3 & op(e0, e0) = e3
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | ALPHA: (8960) implies:
% 252.63/49.61 | | | | | | | | | | (8961) all_56_15 = e3
% 252.63/49.61 | | | | | | | | | | (8962) op(e0, e0) = e3
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | BETA: splitting (52) gives:
% 252.63/49.61 | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | (8963) ~ (all_14_2 = e0)
% 252.63/49.61 | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | REDUCE: (333), (8963) imply:
% 252.63/49.61 | | | | | | | | | | | (8964) ~ (all_8_2 = e0)
% 252.63/49.61 | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | BETA: splitting (58) gives:
% 252.63/49.61 | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | (8965) ~ (all_18_2 = e0)
% 252.63/49.61 | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | REDUCE: (328), (8965) imply:
% 252.63/49.61 | | | | | | | | | | | | (8966) ~ (all_6_2 = e0)
% 252.63/49.61 | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | BETA: splitting (64) gives:
% 252.63/49.61 | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | (8967) ~ (all_22_2 = e1)
% 252.63/49.61 | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | REDUCE: (326), (8967) imply:
% 252.63/49.61 | | | | | | | | | | | | | (8968) ~ (all_8_2 = e1)
% 252.63/49.61 | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 252.63/49.61 | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | (8969) all_54_5 = e3
% 252.63/49.61 | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | REF_CLOSE: (271), (377), (8969) are inconsistent by sub-proof
% 252.63/49.61 | | | | | | | | | | | | | | #3472.
% 252.63/49.61 | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | (8970) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 252.63/49.61 | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | BETA: splitting (8970) gives:
% 252.63/49.61 | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | (8971) all_54_5 = e2
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8971) imply:
% 252.63/49.61 | | | | | | | | | | | | | | | (8972) all_8_2 = e2
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | SIMP: (8972) implies:
% 252.63/49.61 | | | | | | | | | | | | | | | (8973) all_8_2 = e2
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | REDUCE: (351), (8973) imply:
% 252.63/49.61 | | | | | | | | | | | | | | | (8974) ~ (all_52_1 = e2)
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | REDUCE: (358), (8973) imply:
% 252.63/49.61 | | | | | | | | | | | | | | | (8975) ~ (all_52_7 = e2)
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | REDUCE: (360), (8973) imply:
% 252.63/49.61 | | | | | | | | | | | | | | | (8976) ~ (all_52_9 = e2)
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | REDUCE: (362), (8973) imply:
% 252.63/49.61 | | | | | | | | | | | | | | | (8977) ~ (all_52_13 = e2)
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | REDUCE: (42), (8973) imply:
% 252.63/49.61 | | | | | | | | | | | | | | | (8978) op(e2, e2) = e2
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 252.63/49.61 | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | (8979) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.63/49.61 | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.63/49.61 | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.63/49.61 | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.61 | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 252.63/49.61 | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.63/49.61 | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.63/49.61 | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 252.63/49.61 | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 252.63/49.61 | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 252.63/49.61 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 252.63/49.61 | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 252.63/49.61 | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 252.63/49.61 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 252.63/49.61 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 252.63/49.61 | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 252.63/49.61 | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 252.63/49.61 | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 252.63/49.61 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 252.63/49.61 | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 252.63/49.61 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 252.63/49.61 | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 252.63/49.61 | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 252.63/49.61 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.63/49.61 | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 252.63/49.61 | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 252.63/49.61 | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 252.63/49.61 | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 252.63/49.61 | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 252.63/49.61 | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 252.63/49.61 | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | BETA: splitting (8979) gives:
% 252.63/49.61 | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.61 | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | (8980) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.63/49.61 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 252.63/49.61 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 252.63/49.61 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.61 | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 252.63/49.61 | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 252.63/49.61 | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 252.63/49.61 | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 252.63/49.61 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 252.63/49.61 | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 252.63/49.61 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 252.63/49.61 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 252.63/49.61 | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 252.63/49.61 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 252.63/49.61 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 252.63/49.61 | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (7124), (8974), (8980),
% 252.63/49.61 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.61 | | | | | | | | | | | | | | | | | #3446.
% 252.63/49.61 | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | (8981) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 252.63/49.61 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 252.63/49.61 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 252.63/49.61 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 252.63/49.61 | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 252.63/49.61 | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 252.63/49.61 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 252.63/49.61 | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 252.63/49.61 | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.63/49.61 | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 252.63/49.61 | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 252.63/49.61 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 252.63/49.61 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 252.63/49.61 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 252.63/49.61 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 252.63/49.61 | | | | | | | | | | | | | | | | | $i(all_57_27))
% 252.63/49.61 | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | | REF_CLOSE: (8978), (8981), (function-axioms) are inconsistent
% 252.63/49.61 | | | | | | | | | | | | | | | | | by sub-proof #3445.
% 252.63/49.61 | | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | | End of split
% 252.63/49.61 | | | | | | | | | | | | | | | |
% 252.63/49.61 | | | | | | | | | | | | | | | Case 2:
% 252.63/49.61 | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | (8982) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 252.63/49.62 | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 252.63/49.62 | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 252.63/49.62 | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 252.63/49.62 | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 252.63/49.62 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 252.63/49.62 | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 252.63/49.62 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 252.63/49.62 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.63/49.62 | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 252.63/49.62 | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 252.63/49.62 | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 252.63/49.62 | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 252.63/49.62 | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.63/49.62 | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 252.63/49.62 | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.63/49.62 | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 252.63/49.62 | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 252.63/49.62 | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.62 | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 252.63/49.62 | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 252.63/49.62 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 252.63/49.62 | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 252.63/49.62 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 252.63/49.62 | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.63/49.62 | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.63/49.62 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 252.63/49.62 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.63/49.62 | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 252.63/49.62 | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 252.63/49.62 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.63/49.62 | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 252.63/49.62 | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 252.63/49.62 | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 252.63/49.62 | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 252.63/49.62 | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.63/49.62 | | | | | | | | | | | | | | | | $i(all_57_23))))
% 252.63/49.62 | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | BETA: splitting (8982) gives:
% 252.63/49.62 | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.62 | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | (8983) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 252.63/49.62 | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 252.63/49.62 | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 252.63/49.62 | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 252.63/49.62 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 252.63/49.62 | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_29))
% 252.63/49.62 | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7132), (8976), (8983), (function-axioms)
% 252.63/49.62 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #907.
% 252.63/49.62 | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.62 | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | (8984) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 252.63/49.62 | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 252.63/49.62 | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.63/49.62 | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 252.63/49.62 | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 252.63/49.62 | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 252.63/49.62 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 252.63/49.62 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 252.63/49.62 | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 252.63/49.62 | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 252.63/49.62 | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 252.63/49.62 | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 252.63/49.62 | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 252.63/49.62 | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 252.63/49.62 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 252.63/49.62 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 252.63/49.62 | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 252.63/49.62 | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | BETA: splitting (8984) gives:
% 252.63/49.62 | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.62 | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (8985) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 252.63/49.62 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 252.63/49.62 | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 252.63/49.62 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 252.63/49.62 | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | ALPHA: (8985) implies:
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (8986) op(e3, e0) = e3
% 252.63/49.62 | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8953), (8986), (function-axioms) are
% 252.63/49.62 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 252.63/49.62 | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.62 | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (8987) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.63/49.62 | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 252.63/49.62 | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.63/49.62 | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 252.63/49.62 | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 252.63/49.62 | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 252.63/49.62 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 252.63/49.62 | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 252.63/49.62 | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 252.63/49.62 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 252.63/49.62 | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 252.63/49.62 | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 252.63/49.62 | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | BETA: splitting (8987) gives:
% 252.63/49.62 | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.62 | | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (8988) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 252.63/49.62 | | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | ALPHA: (8988) implies:
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (8989) op(e2, e0) = e2
% 252.63/49.62 | | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8977), (8989), (function-axioms) are
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 252.63/49.62 | | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.62 | | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (8990) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 252.63/49.62 | | | | | | | | | | | | | | | | | | |
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | ALPHA: (8990) implies:
% 252.63/49.62 | | | | | | | | | | | | | | | | | | | (8991) op(e0, e0) = all_57_31
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (8992) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (8962), (8991)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (8993) all_57_31 = e3
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | (8994) ~ (all_26_2 = e3)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (8949), (8994) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | (8995) $false
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | CLOSE: (8995) is inconsistent.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | (8996) ( ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | (8997) ~ (all_36_2 = e2)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (8997) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | (8998) ~ (all_6_2 = e2)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | (8999) all_54_10 = e3
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (8999) are inconsistent by sub-proof
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | #3450.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | (9000) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9000) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (9001) all_54_10 = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (8998), (9001) are inconsistent by
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3449.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (9002) all_54_10 = e1 | all_54_10 = e0
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9002) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | (9003) all_54_10 = e1
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (9003) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | (9004) all_6_2 = e1
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9004) implies:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | (9005) all_6_2 = e1
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (9005) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | (9006) ~ (all_52_14 = e1)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9005) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | (9007) op(e1, e1) = e1
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8992) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | (9008) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8962), (8978), (8991), (9008), (function-axioms)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2050.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | (9009) (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) & op(e1,
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_5 & op(e1, e2) = all_57_13 &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_29)) | (all_57_29 =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e3) & ~ (all_57_15 = e2) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 & op(e0,
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_21) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (9006), (9007), (9009), (function-axioms)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3440.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | (9010) all_54_10 = e0
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (8966), (9010) are inconsistent by
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | (9011) all_36_2 = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (9011) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | (9012) all_6_2 = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (9012) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | (9013) ~ (e3 = e2)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9012) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | (9014) op(e1, e1) = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | (9015) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9015) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (9016) all_56_12 = e2 & op(e0, e3) = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9016) implies:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (9017) op(e0, e3) = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (125), (140), (157), (158),
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (159), (191), (206), (207), (251), (7125), (8947),
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (8951), (8961), (8962), (8978), (8992), (8996),
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (9017), (function-axioms) are inconsistent by
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #760.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (9018) all_56_13 = e2 & op(e0, e2) = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9018) implies:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (9019) op(e0, e2) = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8975), (9019), (function-axioms) are
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3070.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | (9020) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | (220), (376), (8961), (9014), (9020),
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | #1413.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | (9021) all_54_5 = e1 | all_54_5 = e0
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | REF_CLOSE: (271), (8964), (8968), (9021) are inconsistent by
% 252.63/49.63 | | | | | | | | | | | | | | | sub-proof #3433.
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | (9022) all_22_2 = e1
% 252.63/49.63 | | | | | | | | | | | | | (9023) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 252.63/49.63 | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 252.63/49.63 | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 252.63/49.63 | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | COMBINE_EQS: (326), (9022) imply:
% 252.63/49.63 | | | | | | | | | | | | | (9024) all_8_2 = e1
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | SIMP: (9024) implies:
% 252.63/49.63 | | | | | | | | | | | | | (9025) all_8_2 = e1
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | COMBINE_EQS: (313), (9025) imply:
% 252.63/49.63 | | | | | | | | | | | | | (9026) all_30_2 = e1
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | REDUCE: (358), (9025) imply:
% 252.63/49.63 | | | | | | | | | | | | | (9027) ~ (all_52_7 = e1)
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | REDUCE: (362), (9025) imply:
% 252.63/49.63 | | | | | | | | | | | | | (9028) ~ (all_52_13 = e1)
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | REDUCE: (377), (9025) imply:
% 252.63/49.63 | | | | | | | | | | | | | (9029) ~ (e3 = e1)
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | REDUCE: (42), (9025) imply:
% 252.63/49.63 | | | | | | | | | | | | | (9030) op(e2, e2) = e1
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | BETA: splitting (210) gives:
% 252.63/49.63 | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | (9031) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 252.63/49.63 | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 252.63/49.63 | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | BETA: splitting (9031) gives:
% 252.63/49.63 | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | (9032) all_56_9 = e1 & op(e3, e0) = e1
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | REF_CLOSE: (168), (7128), (9032), (function-axioms) are
% 252.63/49.63 | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | (9033) all_56_10 = e1 & op(e2, e0) = e1
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | REF_CLOSE: (164), (9028), (9033), (function-axioms) are
% 252.63/49.63 | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | End of split
% 252.63/49.63 | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | (9034) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 252.63/49.63 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 252.63/49.63 | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | BETA: splitting (9034) gives:
% 252.63/49.63 | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | (9035) all_56_11 = e1 & op(e1, e0) = e1
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | ALPHA: (9035) implies:
% 252.63/49.63 | | | | | | | | | | | | | | | (9036) all_56_11 = e1
% 252.63/49.63 | | | | | | | | | | | | | | | (9037) op(e1, e0) = e1
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 252.63/49.63 | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | (9038) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 252.63/49.63 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 252.63/49.63 | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (7125), (9027), (9038),
% 252.63/49.63 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.63 | | | | | | | | | | | | | | | | #3076.
% 252.63/49.63 | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | (9039) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 252.63/49.63 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 252.63/49.63 | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | BETA: splitting (9039) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | (9040) all_56_14 = e1 & op(e0, e1) = e1
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | ALPHA: (9040) implies:
% 252.63/49.63 | | | | | | | | | | | | | | | | | (9041) all_56_14 = e1
% 252.63/49.63 | | | | | | | | | | | | | | | | | (9042) op(e0, e1) = e1
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 252.63/49.63 | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (9042) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | (9043) all_52_11 = e1
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 252.63/49.63 | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (9037) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | (9044) all_52_14 = e1
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | REDUCE: (126), (9044) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | (9045) ~ (all_52_6 = e1)
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | REDUCE: (118), (9043) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | (9046) ~ (all_52_9 = e1)
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | REDUCE: (370), (9044) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | (9047) ~ (all_6_2 = e1)
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | SIMP: (9047) implies:
% 252.63/49.63 | | | | | | | | | | | | | | | | | (9048) ~ (all_6_2 = e1)
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | (9049) all_54_10 = e3
% 252.63/49.63 | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (9049) are inconsistent by sub-proof
% 252.63/49.63 | | | | | | | | | | | | | | | | | | #3450.
% 252.63/49.63 | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | (9050) ~ (all_54_10 = e3)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | (9051) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 252.63/49.63 | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | BETA: splitting (9051) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (9052) all_54_10 = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (9052) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (9053) all_6_2 = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | SIMP: (9053) implies:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (9054) all_6_2 = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | REDUCE: (352), (9054) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (9055) ~ (all_52_2 = e2)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | REDUCE: (363), (9054) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (9056) ~ (all_52_6 = e2)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | REDUCE: (365), (9054) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (9057) ~ (all_52_8 = e2)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | REDUCE: (366), (9054) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (9058) ~ (all_52_9 = e2)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | REDUCE: (376), (9054) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (9059) ~ (e3 = e2)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9054) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | (9060) op(e1, e1) = e2
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | (9061) ~ (all_30_2 = e1)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (9026), (9061) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | (9062) $false
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | CLOSE: (9062) is inconsistent.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | (9063) ( ~ (all_30_0 = e0) & op(e2, all_30_1) = all_30_0
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | (9064) ~ (all_38_2 = e1)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7122), (9064) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | (9065) $false
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9065) is inconsistent.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | (9066) ( ~ (all_38_0 = e2) & op(e3, all_38_1) = all_38_0
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_38_1 & $i(all_38_0) &
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e0) & op(e3, e1)
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | (9067) all_54_12 = e3
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (8950), (9067) are inconsistent by
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | sub-proof #3005.
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | (9068) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (9069) all_54_13 = e3
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (9069) imply:
% 252.63/49.63 | | | | | | | | | | | | | | | | | | | | | | | (9070) all_52_7 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8951), (9070) imply:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | (9071) $false
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9071) is inconsistent.
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | (9072) ~ (all_54_13 = e3)
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | (9073) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | (9074) all_54_7 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (8954), (9074) are inconsistent by
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2952.
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | (9075) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | (9076) all_54_9 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9076) imply:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | (9077) all_52_6 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9077) implies:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | (9078) all_52_6 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (9078) imply:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | (9079) ~ (all_52_2 = e3)
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (9078) imply:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | (9080) ~ (all_52_4 = e3)
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9081) all_54_8 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9079), (9081) are inconsistent by
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2703.
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9082) ~ (all_54_8 = e3)
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9083) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9084) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9084) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9085) all_56_6 = e0 & op(e1, e3) = e0
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9085) implies:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086) all_56_6 = e0
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9087) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9087) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9088) all_56_6 = e3 & op(e1, e3) = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9086), (9088) are inconsistent by sub-proof
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1267.
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9089) all_56_7 = e3 & op(e1, e2) = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9089) implies:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090) all_56_7 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9091) op(e1, e2) = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9092) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9092) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9093) all_56_0 = e3 & op(e3, e3) = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9093) implies:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9094) op(e3, e3) = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7132), (9094), (function-axioms) are
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9095) all_56_2 = e3 & op(e2, e3) = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9095) implies:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9096) all_56_2 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9097) op(e2, e3) = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9083) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9098) all_54_8 = e2
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9055), (9098) are inconsistent by
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2699.
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9099) ~ (all_54_8 = e2)
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9100) all_54_8 = e1 | all_54_8 = e0
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (140),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (146), (148), (149), (158), (159), (163),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (198), (200), (206), (207),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (212), (213), (214), (216), (220), (221),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (227), (230), (231), (233), (241),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (262), (264), (272), (376), (7123), (7124),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125), (7131), (7132), (8953), (8961), (8962),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8964), (9023), (9030), (9036), (9041), (9042),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046), (9055), (9058), (9060), (9063), (9068),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079), (9086), (9090), (9091), (9096), (9097),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9100), (function-axioms) are inconsistent by
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #757.
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9101) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9101) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9102) all_56_6 = e3 & op(e1, e3) = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9102) implies:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9103) all_56_6 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9086), (9103) imply:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9104) e3 = e0
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9090), (9104) imply:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9105) all_56_7 = e0
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (168),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (208), (217), (218), (220),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (236), (376), (7125), (7132), (8953),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961), (8962), (9030), (9060), (9080), (9105),
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #754.
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9106) all_56_12 = e3 & op(e0, e3) = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9106) implies:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9107) all_56_12 = e3
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9083) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9108) all_54_8 = e2
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9055), (9108) are inconsistent by
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2699.
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9109) ~ (all_54_8 = e2)
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9110) all_54_8 = e1 | all_54_8 = e0
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 252.63/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9111) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9111) gives:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9112) all_56_0 = e2 & op(e3, e3) = e2
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9112) implies:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9113) op(e3, e3) = e2
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (163), (206),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (221), (223), (224), (231), (7124), (8961),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962), (8964), (9030), (9041), (9113),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1897.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9114) all_56_2 = e2 & op(e2, e3) = e2
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9114) implies:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9115) op(e2, e3) = e2
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9116) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7132), (9080), (9116),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #865.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9117) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9117) gives:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9118) all_56_4 = e3 & op(e3, e1) = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9118) implies:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9119) all_56_4 = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9120) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9120) gives:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9121) all_56_2 = e3 & op(e2, e3) = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9121) implies:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9122) all_56_2 = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9123) op(e2, e3) = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (140),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (146), (148), (149), (158), (159), (163),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (198), (200), (206), (207),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (212), (213), (214), (216), (220), (221),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (227), (230), (231), (233), (241),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (262), (264), (272), (376), (7123), (7124),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125), (7131), (7132), (8953), (8961), (8962),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8964), (9023), (9030), (9036), (9041), (9042),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046), (9055), (9058), (9060), (9063), (9068),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079), (9086), (9090), (9091), (9110), (9122),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9123), (function-axioms) are inconsistent by
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #757.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9124) all_56_3 = e3 & op(e2, e2) = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9124) implies:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9125) op(e2, e2) = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9030), (9125), (function-axioms) are
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9126) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9126) gives:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9127) all_56_5 = e3 & op(e2, e1) = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9127) implies:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128) all_56_5 = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (219),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9119), (9128), (function-axioms) are inconsistent
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3218.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9129) all_56_10 = e3 & op(e2, e0) = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9129) implies:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9130) all_56_10 = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9131) op(e2, e0) = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (42), (221), (8964), (9023), (9063),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9115), (9130), (9131), (function-axioms) are
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #899.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) all_56_9 = e3 & op(e3, e0) = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9132) implies:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) op(e3, e0) = e3
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8953), (9133), (function-axioms) are
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9134) gives:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) all_56_6 = e2 & op(e1, e3) = e2
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9135) implies:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) all_56_6 = e2
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (213), (214), (9060),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090), (9091), (9136), (function-axioms) are
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2072.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) all_56_12 = e2 & op(e0, e3) = e2
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (214), (216),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (9060), (9086), (9090), (9107), (9137),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1411.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (376), (8961), (9138), (function-axioms)
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2899.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) all_56_7 = e0 & op(e1, e2) = e0
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9139) implies:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) all_56_7 = e0
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (168),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (208), (217), (218), (220),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (236), (376), (7125), (7132), (8953),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961), (8962), (9030), (9060), (9080), (9140),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #754.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9036), (9060), (9141),
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | #752.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | (9142) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9142) gives:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9143) all_54_9 = e2
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9056), (9143) are inconsistent by
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2979.
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9144) ~ (all_54_9 = e2)
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9145) all_54_9 = e1 | all_54_9 = e0
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9146) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9146) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9147) all_56_6 = e3 & op(e1, e3) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9147) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148) all_56_6 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9149) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9149) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9150) all_56_1 = e3 & op(e3, e2) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9150) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9151) all_56_1 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9145) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9152) all_54_9 = e1
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9152) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9153) all_52_6 = e1
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9045), (9153) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9154) $false
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9154) is inconsistent.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9155) all_54_9 = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9155) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9156) all_52_6 = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (9156) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9157) ~ (all_52_2 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (9156) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9158) ~ (all_52_4 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (9156) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9159) ~ (all_52_7 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9159) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9160) ~ (all_52_7 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9056), (9156) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9161) ~ (e2 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9045), (9156) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9162) ~ (e1 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9163) all_54_8 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9163) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9164) all_52_2 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9164) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9165) all_52_2 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (9165) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9166) ~ (all_52_1 = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (9165) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9167) ~ (all_52_3 = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (9165) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9168) op(e1, e3) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (113),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (133), (134), (135), (140), (145),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (158), (159), (162), (163), (164), (165),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (198), (200), (201),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (206), (208), (210), (211), (212),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (221), (223),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (231), (234), (240),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (251), (252), (263), (264), (272),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (376), (7123), (7124),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125), (7126), (7127), (7128), (7132), (8950),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8951), (8961), (8962), (8964), (9023), (9027),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9028), (9030), (9036), (9041), (9042), (9045),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046), (9057), (9058), (9060), (9063), (9066),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9068), (9073), (9075), (9148), (9151), (9157),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9158), (9160), (9166), (9168), (function-axioms)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #745.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9169) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (262), (9037), (9055), (9157),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9169), (function-axioms) are inconsistent by
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2800.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9170) all_56_3 = e3 & op(e2, e2) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9170) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9171) op(e2, e2) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9030), (9171), (function-axioms) are
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9172) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9172) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9173) all_56_7 = e3 & op(e1, e2) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9173) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9174) all_56_7 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (213), (9036), (9060), (9148),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9174), (function-axioms) are inconsistent by
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #743.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9175) all_56_13 = e3 & op(e0, e2) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9175) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9176) all_56_13 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9145) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9177) all_54_9 = e1
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9177) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9178) all_52_6 = e1
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9045), (9178) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9179) $false
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9179) is inconsistent.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9180) all_54_9 = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9180) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9181) all_52_6 = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (9181) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9182) ~ (all_52_2 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (9181) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9183) ~ (all_52_4 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (9181) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184) ~ (all_52_7 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9184) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185) ~ (all_52_7 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9056), (9181) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186) ~ (e2 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9045), (9181) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187) ~ (e1 = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9188) all_54_8 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9188) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189) all_52_2 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9189) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9190) all_52_2 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (9190) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9191) ~ (all_52_1 = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (9190) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9192) ~ (all_52_3 = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (9190) imply:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9193) op(e1, e3) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9194) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9194) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195) all_56_0 = e3 & op(e3, e3) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9195) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9196) op(e3, e3) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7132), (9196), (function-axioms) are
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9197) all_56_1 = e3 & op(e3, e2) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9197) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9198) all_56_1 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (113),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (133), (134), (135), (140), (145),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (158), (159), (162), (163), (164), (165),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (198), (200), (201),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (206), (208), (210), (211), (212),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (221), (223),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (231), (234), (240),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (251), (252), (263), (264), (272),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (275), (376), (7123), (7124),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125), (7126), (7127), (7128), (7132), (8950),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8951), (8961), (8962), (8964), (9023), (9027),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9028), (9030), (9036), (9041), (9042), (9045),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046), (9057), (9058), (9060), (9063), (9066),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9068), (9073), (9075), (9148), (9182), (9183),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185), (9191), (9193), (9198), (function-axioms)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #745.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9199) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9199) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9200) all_56_4 = e3 & op(e3, e1) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9200) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9201) all_56_4 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9202) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9202) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9203) all_56_2 = e3 & op(e2, e3) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9203) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9204) all_56_2 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (229), (231), (233), (7132), (8961),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148), (9176), (9185), (9204), (function-axioms)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1252.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9205) all_56_3 = e3 & op(e2, e2) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9205) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9206) op(e2, e2) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9030), (9206), (function-axioms) are
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9207) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9207) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9208) all_56_5 = e3 & op(e2, e1) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9208) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9209) all_56_5 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (219),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9201), (9209), (function-axioms) are inconsistent
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3218.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9210) all_56_10 = e3 & op(e2, e0) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9210) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9211) all_56_10 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9212) op(e2, e0) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (42), (165), (221), (223),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8964), (9023), (9030), (9058), (9063), (9211),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9212), (function-axioms) are inconsistent by
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213) all_56_9 = e3 & op(e3, e0) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9213) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9214) op(e3, e0) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8953), (9214), (function-axioms) are
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9215) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (262), (9037), (9055), (9182),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9215), (function-axioms) are inconsistent by
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2800.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9216) all_56_7 = e3 & op(e1, e2) = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9216) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217) all_56_7 = e3
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9218) gives:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9219) all_56_6 = e0 & op(e1, e3) = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9219) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9220) op(e1, e3) = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (163), (261), (9045), (9145), (9220),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #742.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9221) all_56_7 = e0 & op(e1, e2) = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9221) implies:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9222) all_56_7 = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9217), (9222) are inconsistent by sub-proof
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3341.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9223) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9036), (9060), (9223),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #744.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9224) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (376), (8961), (9224), (function-axioms)
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2899.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | (9225) all_54_10 = e1 | all_54_10 = e0
% 253.01/49.65 | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (8966), (9048), (9225) are inconsistent by
% 253.01/49.65 | | | | | | | | | | | | | | | | | | | sub-proof #2866.
% 253.01/49.65 | | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | (9226) all_56_15 = e1 & op(e0, e0) = e1
% 253.01/49.65 | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8961), (9226) are inconsistent by sub-proof
% 253.01/49.65 | | | | | | | | | | | | | | | | | #3276.
% 253.01/49.65 | | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | (9227) all_56_15 = e1 & op(e0, e0) = e1
% 253.01/49.65 | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | | REF_CLOSE: (8), (8961), (9227) are inconsistent by sub-proof
% 253.01/49.65 | | | | | | | | | | | | | | | #3276.
% 253.01/49.65 | | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | End of split
% 253.01/49.65 | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | Case 2:
% 253.01/49.65 | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | (9228) all_18_2 = e0
% 253.01/49.65 | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | COMBINE_EQS: (328), (9228) imply:
% 253.01/49.65 | | | | | | | | | | | | (9229) all_6_2 = e0
% 253.01/49.65 | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | SIMP: (9229) implies:
% 253.01/49.65 | | | | | | | | | | | | (9230) all_6_2 = e0
% 253.01/49.65 | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | REDUCE: (352), (9230) imply:
% 253.01/49.65 | | | | | | | | | | | | (9231) ~ (all_52_2 = e0)
% 253.01/49.65 | | | | | | | | | | | |
% 253.01/49.65 | | | | | | | | | | | | REDUCE: (363), (9230) imply:
% 253.01/49.66 | | | | | | | | | | | | (9232) ~ (all_52_6 = e0)
% 253.01/49.66 | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | REDUCE: (365), (9230) imply:
% 253.01/49.66 | | | | | | | | | | | | (9233) ~ (all_52_8 = e0)
% 253.01/49.66 | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | REDUCE: (366), (9230) imply:
% 253.01/49.66 | | | | | | | | | | | | (9234) ~ (all_52_9 = e0)
% 253.01/49.66 | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | REDUCE: (368), (9230) imply:
% 253.01/49.66 | | | | | | | | | | | | (9235) ~ (all_52_11 = e0)
% 253.01/49.66 | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | REDUCE: (370), (9230) imply:
% 253.01/49.66 | | | | | | | | | | | | (9236) ~ (all_52_14 = e0)
% 253.01/49.66 | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | REDUCE: (376), (9230) imply:
% 253.01/49.66 | | | | | | | | | | | | (9237) ~ (e3 = e0)
% 253.01/49.66 | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | BETA: splitting (213) gives:
% 253.01/49.66 | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | (9238) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 253.01/49.66 | | | | | | | | | | | | | & op(e1, e2) = e0)
% 253.01/49.66 | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | REF_CLOSE: (162), (163), (9231), (9232), (9238),
% 253.01/49.66 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.66 | | | | | | | | | | | | | #2864.
% 253.01/49.66 | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | (9239) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 253.01/49.66 | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 253.01/49.66 | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | BETA: splitting (9239) gives:
% 253.01/49.66 | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | (9240) all_56_8 = e0 & op(e1, e1) = e0
% 253.01/49.66 | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | ALPHA: (9240) implies:
% 253.01/49.66 | | | | | | | | | | | | | | (9241) all_56_8 = e0
% 253.01/49.66 | | | | | | | | | | | | | | (9242) op(e1, e1) = e0
% 253.01/49.66 | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 253.01/49.66 | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | (9243) ~ (all_22_2 = e1)
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | REDUCE: (326), (9243) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | (9244) ~ (all_8_2 = e1)
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | REF_CLOSE: (42), (157), (163), (164), (165), (167), (168),
% 253.01/49.66 | | | | | | | | | | | | | | | (199), (241), (271), (351), (360), (362), (377),
% 253.01/49.66 | | | | | | | | | | | | | | | (7124), (7132), (8953), (8962), (8964), (9235),
% 253.01/49.66 | | | | | | | | | | | | | | | (9242), (9244), (function-axioms) are inconsistent
% 253.01/49.66 | | | | | | | | | | | | | | | by sub-proof #741.
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | (9245) all_22_2 = e1
% 253.01/49.66 | | | | | | | | | | | | | | | (9246) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 253.01/49.66 | | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 253.01/49.66 | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 253.01/49.66 | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | COMBINE_EQS: (326), (9245) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | (9247) all_8_2 = e1
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | SIMP: (9247) implies:
% 253.01/49.66 | | | | | | | | | | | | | | | (9248) all_8_2 = e1
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | COMBINE_EQS: (313), (9248) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | (9249) all_30_2 = e1
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | REDUCE: (356), (9248) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | (9250) ~ (all_52_6 = e1)
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | REDUCE: (358), (9248) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | (9251) ~ (all_52_7 = e1)
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | REDUCE: (360), (9248) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | (9252) ~ (all_52_9 = e1)
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | REDUCE: (362), (9248) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | (9253) ~ (all_52_13 = e1)
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | REDUCE: (377), (9248) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | (9254) ~ (e3 = e1)
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | REDUCE: (42), (9248) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | (9255) op(e2, e2) = e1
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 253.01/49.66 | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | (9256) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 253.01/49.66 | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (7124), (9250), (9256),
% 253.01/49.66 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.66 | | | | | | | | | | | | | | | | #3059.
% 253.01/49.66 | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | (9257) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 253.01/49.66 | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 253.01/49.66 | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | BETA: splitting (9257) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | (9258) all_56_8 = e1 & op(e1, e1) = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9241), (9258) are inconsistent by sub-proof
% 253.01/49.66 | | | | | | | | | | | | | | | | | #3057.
% 253.01/49.66 | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | (9259) all_56_11 = e1 & op(e1, e0) = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | ALPHA: (9259) implies:
% 253.01/49.66 | | | | | | | | | | | | | | | | | (9260) all_56_11 = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | | (9261) op(e1, e0) = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | (9262) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 253.01/49.66 | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (7127), (9252), (9262),
% 253.01/49.66 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.66 | | | | | | | | | | | | | | | | | | #739.
% 253.01/49.66 | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | (9263) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 253.01/49.66 | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | BETA: splitting (9263) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | (9264) all_56_8 = e1 & op(e1, e1) = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9241), (9264) are inconsistent by sub-proof
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | #3057.
% 253.01/49.66 | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | (9265) all_56_14 = e1 & op(e0, e1) = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | ALPHA: (9265) implies:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | (9266) all_56_14 = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | (9267) op(e0, e1) = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | (9268) ~ (all_30_2 = e1)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (9249), (9268) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | (9269) $false
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (9269) is inconsistent.
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | (9270) ( ~ (all_30_0 = e0) & op(e2, all_30_1) = all_30_0
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | (9271) all_54_12 = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (8950), (9271) are inconsistent by
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | sub-proof #3005.
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | (9272) ~ (all_54_12 = e3)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | (9273) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | (9274) all_54_3 = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (8953), (9274) are inconsistent by
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | sub-proof #3145.
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | (9275) ~ (all_54_3 = e3)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | (9276) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | (9277) all_54_2 = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (9277) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | (9278) all_52_8 = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9278) implies:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | (9279) all_52_8 = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9279) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | (9280) ~ (all_52_4 = e3)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9279) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | (9281) ~ (all_52_9 = e3)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9281) implies:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | (9282) ~ (all_52_9 = e3)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | (9283) all_54_6 = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9282), (9283) are inconsistent by
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2704.
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | (9284) ~ (all_54_6 = e3)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | (9285) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | (9286) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (9255), (9280), (9286),
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | #2953.
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | (9287) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9287) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (9288) all_56_7 = e3 & op(e1, e2) = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9288) implies:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (9289) op(e1, e2) = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9285) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9290) all_54_6 = e2
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (9290) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9291) all_52_9 = e2
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9291) implies:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9292) all_52_9 = e2
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9292) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9293) ~ (all_52_1 = e2)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9292) imply:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9294) ~ (all_52_13 = e2)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9294) implies:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9295) ~ (all_52_13 = e2)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9296) all_54_7 = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (8954), (9296) are inconsistent by
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2952.
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9297) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9298) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9298) gives:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9299) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (7124), (9293), (9299),
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3446.
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9300) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (9280), (9289), (9300),
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2125.
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9301) gives:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9302) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9302) gives:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9303) all_57_17 = e3 & ~ (all_57_1 = e1) & ~ (all_57_5
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & op(e3, e3) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e1) = e3 & op(e1, e3) = all_57_5
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_13 & op(e1, e1) = all_57_21
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_29 & $i(all_57_1) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_13) & $i(all_57_21) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7132), (9303), (function-axioms) are inconsistent
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #908.
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9304) all_57_19 = e2 & ~ (all_57_5 = e3) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e1) & ~ (all_57_13 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e2,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1, e3) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & $i(all_57_5)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9255), (9304), (function-axioms) are inconsistent
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3409.
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9305) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9305) gives:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9306) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9306) implies:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9307) ~ (all_57_23 = e1)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9308) op(e0, e1) = all_57_23
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9267), (9307), (9308), (function-axioms) are
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3132.
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9309) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9309) gives:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9310) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9310) implies:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9311) op(e2, e0) = e2
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9295), (9311), (function-axioms) are
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9312) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 253.01/49.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9312) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9313) op(e0, e0) = all_57_31
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9314) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9297) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9315) all_54_7 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9295), (9315) are inconsistent by
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2951.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9316) all_54_7 = e1 | all_54_7 = e0
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9316) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9317) all_54_7 = e1
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9253), (9317) are inconsistent by
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2945.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9318) all_54_7 = e0
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (9318) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9319) all_52_13 = e0
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9319) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9320) all_52_13 = e0
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (9320) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9321) op(e2, e0) = e0
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9314) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9322) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8962), (9313), (9321), (9322), (function-axioms)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #749.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323) (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) & op(e1,
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_5 & op(e1, e2) = all_57_13 &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_29)) | (all_57_29 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e3) & ~ (all_57_15 = e2) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 & op(e0,
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_21) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9235), (9242), (9323), (function-axioms)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2763.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9324) all_54_6 = e1 | all_54_6 = e0
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9234), (9252), (9324) are inconsistent by
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3127.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9325) all_56_13 = e3 & op(e0, e2) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9325) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9326) all_56_13 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9327) op(e0, e2) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9328) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9328) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9329) all_56_4 = e3 & op(e3, e1) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9329) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9330) all_56_4 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9331) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9331) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9332) all_56_2 = e3 & op(e2, e3) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9332) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9333) all_56_2 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9334) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9334) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9335) all_56_12 = e2 & op(e0, e3) = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9335) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9336) op(e0, e3) = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (8962), (9266), (9327),
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9336), (function-axioms) are inconsistent by
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #756.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9337) all_56_13 = e2 & op(e0, e2) = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9337) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9338) all_56_13 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9326), (9338) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9339) e3 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9330), (9339) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9340) all_56_4 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (220), (221), (222), (223), (376), (8961),
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962), (9255), (9333), (9340), (function-axioms)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1791.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9341) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342) all_56_14 = e2 & op(e0, e1) = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9342) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9343) all_56_14 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9266), (9343) are inconsistent by sub-proof
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3309.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9344) all_56_15 = e2 & op(e0, e0) = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9344) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9345) all_56_15 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8961), (9345) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346) e3 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9330), (9346) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9347) all_56_4 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (220), (221), (222), (223), (376), (8961),
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962), (9255), (9333), (9347), (function-axioms)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1791.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9348) all_56_3 = e3 & op(e2, e2) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9348) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9349) op(e2, e2) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9255), (9349), (function-axioms) are
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9350) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (164), (218), (219),
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8954), (9241), (9330), (9350), (function-axioms)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2230.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9351) all_56_5 = e3 & op(e2, e1) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (264), (9234), (9252), (9282), (9285),
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9351), (function-axioms) are inconsistent by
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2506.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9352) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (207), (208), (376), (8961),
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9326), (9352), (function-axioms) are inconsistent
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2526.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | (9353) ~ (all_54_2 = e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | (9354) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (274), (9353) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | (9355) ~ (all_52_8 = e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | (9356) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9356) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | (9357) all_56_4 = e3 & op(e3, e1) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9357) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | (9358) op(e3, e1) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9355), (9358), (function-axioms) are
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3466.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | (9359) all_56_5 = e3 & op(e2, e1) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9359) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | (9360) all_56_5 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9354) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9361) all_54_2 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (9361) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9362) all_52_8 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9362) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9363) all_52_8 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9363) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9364) ~ (all_52_4 = e2)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9363) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9365) ~ (all_52_9 = e2)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9365) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9366) ~ (all_52_9 = e2)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9363) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9367) ~ (all_52_12 = e2)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9367) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (9368) ~ (all_52_12 = e2)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9369) all_54_6 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (9369) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370) all_52_9 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9370) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9371) all_52_9 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9371) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9372) ~ (all_52_1 = e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (9371) imply:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9373) op(e2, e1) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9374) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9374) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9375) all_56_9 = e2 & op(e3, e0) = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9368), (9375), (function-axioms) are
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9376) all_56_10 = e2 & op(e2, e0) = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9376) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9377) op(e2, e0) = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9378) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132), (9255), (9360), (9373), (9378),
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #738.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9379) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9379) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9380) all_56_6 = e3 & op(e1, e3) = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9380) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9381) all_56_6 = e3
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9276) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9382) all_54_3 = e2
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (9368), (9382) are inconsistent by
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3144.
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9383) all_54_3 = e1 | all_54_3 = e0
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9246) gives:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9384) ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0 &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9384) implies:
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9385) op(e2, e1) = all_22_1
% 253.01/49.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (128), (133), (135), (136), (140), (148),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (162), (165), (167), (168), (170),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (195), (200), (203), (212), (221), (223),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (240), (251), (252), (261),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (273), (275), (7123), (7125), (7126),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128), (8950), (8953), (8964), (9232), (9246),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9250), (9251), (9255), (9260), (9270), (9273),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9364), (9366), (9372), (9373), (9381), (9383),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9385), (function-axioms) are inconsistent by
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #736.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9386) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9386) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9387) op(e2, e1) = all_22_1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (128), (133), (135), (136), (140), (148),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (162), (165), (167), (168), (170),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (195), (200), (203), (212), (221), (223),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (240), (251), (252), (261),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (273), (275), (7123), (7125), (7126),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128), (8950), (8953), (8964), (9232), (9246),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9250), (9251), (9255), (9260), (9270), (9273),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9364), (9366), (9372), (9373), (9381), (9383),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9387), (function-axioms) are inconsistent by
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #736.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9388) all_56_12 = e3 & op(e0, e3) = e3
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9388) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9389) all_56_12 = e3
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9390) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9390) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9391) all_56_12 = e2 & op(e0, e3) = e2
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9389), (9391) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3241.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392) all_56_13 = e2 & op(e0, e2) = e2
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9392) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9393) op(e0, e2) = e2
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9394) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9394) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9395) all_56_2 = e0 & op(e2, e3) = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9395) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9396) all_56_2 = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9397) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9397) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9398) all_56_1 = e0 & op(e3, e2) = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9398) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9399) all_56_1 = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (217), (218),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (236), (7132), (8953), (9360), (9399),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2605.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9400) all_56_3 = e0 & op(e2, e2) = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9400) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9401) all_56_3 = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (9360),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9396), (9401) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3388.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9402) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (162), (9232), (9393), (9402),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2499.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403) all_56_3 = e0 & op(e2, e2) = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (8964), (9403), (function-axioms) are
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9404) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (165), (9234), (9377), (9404),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #735.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9405) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9405) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9406) all_56_14 = e2 & op(e0, e1) = e2
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9406) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9407) all_56_14 = e2
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961), (9389), (9407) are inconsistent by
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2665.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9408) all_56_15 = e2 & op(e0, e0) = e2
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8961), (9408) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9409) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9409) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9410) all_56_11 = e2 & op(e1, e0) = e2
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9410) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9411) op(e1, e0) = e2
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9261), (9411), (function-axioms) are
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3109.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9412) all_56_15 = e2 & op(e0, e0) = e2
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8961), (9412) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3308.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9413) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9234), (9252), (9366), (9413) are
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3126.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (9414) all_54_2 = e1 | all_54_2 = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (7127), (9233), (9414) are inconsistent by
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2681.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (9415) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (208), (376), (8961), (8962), (9415),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | #2888.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | (9416) all_56_11 = e0 & op(e1, e0) = e0
% 253.01/49.69 | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | ALPHA: (9416) implies:
% 253.01/49.69 | | | | | | | | | | | | | | (9417) op(e1, e0) = e0
% 253.01/49.69 | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | REF_CLOSE: (160), (9236), (9417), (function-axioms) are
% 253.01/49.69 | | | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 253.01/49.69 | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | End of split
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | (9418) all_14_2 = e0
% 253.01/49.69 | | | | | | | | | | | (9419) ( ~ (all_14_0 = e3) & op(e2, all_14_1) = all_14_0
% 253.01/49.69 | | | | | | | | | | | & op(e2, e0) = all_14_1 & $i(all_14_0) &
% 253.01/49.69 | | | | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e1) & op(e2, e0)
% 253.01/49.69 | | | | | | | | | | | = all_14_1 & $i(all_14_1))
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | COMBINE_EQS: (333), (9418) imply:
% 253.01/49.69 | | | | | | | | | | | (9420) all_8_2 = e0
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | SIMP: (9420) implies:
% 253.01/49.69 | | | | | | | | | | | (9421) all_8_2 = e0
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | COMBINE_EQS: (295), (9421) imply:
% 253.01/49.69 | | | | | | | | | | | (9422) all_48_2 = e0
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | REDUCE: (351), (9421) imply:
% 253.01/49.69 | | | | | | | | | | | (9423) ~ (all_52_1 = e0)
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | REDUCE: (354), (9421) imply:
% 253.01/49.69 | | | | | | | | | | | (9424) ~ (all_52_4 = e0)
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | REDUCE: (356), (9421) imply:
% 253.01/49.69 | | | | | | | | | | | (9425) ~ (all_52_6 = e0)
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | REDUCE: (358), (9421) imply:
% 253.01/49.69 | | | | | | | | | | | (9426) ~ (all_52_7 = e0)
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | REDUCE: (360), (9421) imply:
% 253.01/49.69 | | | | | | | | | | | (9427) ~ (all_52_9 = e0)
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | REDUCE: (362), (9421) imply:
% 253.01/49.69 | | | | | | | | | | | (9428) ~ (all_52_13 = e0)
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | REDUCE: (377), (9421) imply:
% 253.01/49.69 | | | | | | | | | | | (9429) ~ (e3 = e0)
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | BETA: splitting (221) gives:
% 253.01/49.69 | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | (9430) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 253.01/49.69 | | | | | | | | | | | | & op(e2, e2) = e0)
% 253.01/49.69 | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | BETA: splitting (9430) gives:
% 253.01/49.69 | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | (9431) all_56_2 = e0 & op(e2, e3) = e0
% 253.01/49.69 | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | ALPHA: (9431) implies:
% 253.01/49.69 | | | | | | | | | | | | | (9432) op(e2, e3) = e0
% 253.01/49.69 | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | REF_CLOSE: (167), (9423), (9432), (function-axioms) are
% 253.01/49.69 | | | | | | | | | | | | | inconsistent by sub-proof #780.
% 253.01/49.69 | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | (9433) all_56_3 = e0 & op(e2, e2) = e0
% 253.01/49.69 | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | ALPHA: (9433) implies:
% 253.01/49.69 | | | | | | | | | | | | | (9434) all_56_3 = e0
% 253.01/49.69 | | | | | | | | | | | | | (9435) op(e2, e2) = e0
% 253.01/49.69 | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | BETA: splitting (58) gives:
% 253.01/49.69 | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | (9436) ~ (all_18_2 = e0)
% 253.01/49.69 | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | REDUCE: (328), (9436) imply:
% 253.01/49.69 | | | | | | | | | | | | | | (9437) ~ (all_6_2 = e0)
% 253.01/49.69 | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 253.01/49.69 | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | (9438) ~ (all_36_2 = e2)
% 253.01/49.69 | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | REDUCE: (306), (9438) imply:
% 253.01/49.69 | | | | | | | | | | | | | | | (9439) ~ (all_6_2 = e2)
% 253.01/49.69 | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 253.01/49.69 | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | (9440) all_54_10 = e3
% 253.01/49.69 | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (9440) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | #3450.
% 253.01/49.69 | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | (9441) ~ (all_54_10 = e3)
% 253.01/49.69 | | | | | | | | | | | | | | | | (9442) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 253.01/49.69 | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | BETA: splitting (9442) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | (9443) all_54_10 = e2
% 253.01/49.69 | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (9439), (9443) are inconsistent by
% 253.01/49.69 | | | | | | | | | | | | | | | | | sub-proof #3449.
% 253.01/49.69 | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | (9444) ~ (all_54_10 = e2)
% 253.01/49.69 | | | | | | | | | | | | | | | | | (9445) all_54_10 = e1 | all_54_10 = e0
% 253.01/49.69 | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | BETA: splitting (9445) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | (9446) all_54_10 = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (9446) imply:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | (9447) all_6_2 = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | SIMP: (9447) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | (9448) all_6_2 = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | REDUCE: (363), (9448) imply:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | (9449) ~ (all_52_6 = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | REDUCE: (370), (9448) imply:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | (9450) ~ (all_52_14 = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | REDUCE: (376), (9448) imply:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | (9451) ~ (e3 = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | REDUCE: (9439), (9448) imply:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | (9452) ~ (e2 = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | (9453) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (9453) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | (9454) all_56_9 = e1 & op(e3, e0) = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7128), (9454), (function-axioms) are
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | (9455) all_56_10 = e1 & op(e2, e0) = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (9455) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | (9456) all_56_10 = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | (9457) op(e2, e0) = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | (9458) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (222), (223),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | (224), (7126), (9434), (9456), (9458),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | #734.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | (9459) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9459) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | (9460) all_56_7 = e1 & op(e1, e2) = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9460) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | (9461) op(e1, e2) = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9449), (9461), (function-axioms) are
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3411.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | (9462) all_56_13 = e1 & op(e0, e2) = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9462) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | (9463) all_56_13 = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | (9464) op(e0, e2) = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | (9465) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (7124), (9449), (9465),
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | #3059.
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | (9466) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9466) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (9467) all_56_8 = e1 & op(e1, e1) = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9467) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (9468) all_56_8 = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (9469) op(e1, e1) = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (9464) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (9470) all_52_7 = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (9457) gives:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (9471) all_52_13 = e1
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9470) imply:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (9472) ~ (all_52_11 = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9472) implies:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (9473) ~ (all_52_11 = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9471) imply:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (9474) ~ (all_52_9 = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9471) imply:
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | | (9475) ~ (all_52_14 = e1)
% 253.01/49.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9419) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9476) ~ (all_14_0 = e3) & op(e2, all_14_1) = all_14_0 &
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9476) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9477) ~ (all_14_0 = e3)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9478) op(e2, e0) = all_14_1
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9479) op(e2, all_14_1) = all_14_0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_14_1,
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (9457), (9478) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9480) all_14_1 = e1
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9479), (9480) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9481) op(e2, e1) = all_14_0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | all_14_0, e1, e2, simplifying with (165), (9481)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9482) all_52_9 = all_14_0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (9482) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9483) all_54_6 = all_14_0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9482) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9484) ~ (all_52_1 = all_14_0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9482) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9485) ~ (all_52_11 = all_14_0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9485) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9486) ~ (all_52_11 = all_14_0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9474), (9482) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9487) ~ (all_14_0 = e1)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9427), (9482) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | (9488) ~ (all_14_0 = e0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (9489) all_54_6 = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9483), (9489) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (9490) all_14_0 = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9477), (9490) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (9491) $false
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9491) is inconsistent.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (9492) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9492) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9493) all_54_6 = e2
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9483), (9493) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9494) all_14_0 = e2
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9484), (9494) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9495) ~ (all_52_1 = e2)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9486), (9494) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496) ~ (all_52_11 = e2)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9477), (9494) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9497) ~ (e3 = e2)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (9434), (9495), (9498),
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3300.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9499) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9499) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9500) all_56_5 = e2 & op(e2, e1) = e2
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9500) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9501) all_56_5 = e2
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9502) all_54_14 = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8952), (9502) are inconsistent by
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3151.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9503) ~ (all_54_14 = e3)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9504) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9504) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505) all_54_14 = e2
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (9496), (9505) are inconsistent by
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3150.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9506) ~ (all_54_14 = e2)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) all_54_14 = e1 | all_54_14 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9507) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) all_54_14 = e1
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (9473), (9508) are inconsistent by
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3008.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) all_54_14 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (9509) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) all_52_11 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9510) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) all_52_11 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (9511) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) ~ (all_52_3 = e0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9496), (9511) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) ~ (e2 = e0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9473), (9511) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) ~ (e1 = e0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9515) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) all_56_0 = e0 & op(e3, e3) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (214), (7124), (7131),
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449), (9450), (9468), (9516), (function-axioms)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #886.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) all_56_2 = e0 & op(e2, e3) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9517) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) op(e2, e3) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (9423), (9518), (function-axioms) are
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #780.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9519) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) all_56_6 = e0 & op(e1, e3) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9520) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) all_56_6 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) op(e1, e3) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9523) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) all_56_0 = e0 & op(e3, e3) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (214), (7124), (7131),
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449), (9450), (9468), (9524), (function-axioms)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #886.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) all_56_1 = e0 & op(e3, e2) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9525) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9526) all_56_1 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (226), (227), (228), (8961), (9426),
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434), (9526), (function-axioms) are inconsistent
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2914.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9527) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9527) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9528) all_56_4 = e0 & op(e3, e1) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9528) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529) all_56_4 = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (218), (219), (220), (376),
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961), (9426), (9512), (9529), (function-axioms)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3165.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9530) all_56_9 = e0 & op(e3, e0) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9530) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531) op(e3, e0) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532) all_54_4 = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9532) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9533) all_52_1 = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9533) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9534) all_52_1 = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (9534) imply:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9535) op(e2, e3) = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9536) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9536) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9537) all_56_0 = e3 & op(e3, e3) = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9537) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9538) op(e3, e3) = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7132), (9538), (function-axioms) are
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539) all_56_2 = e3 & op(e2, e3) = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9539) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540) all_56_2 = e3
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9541) all_56_15 = e0 & op(e0, e0) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9541) implies:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9542) op(e0, e0) = e0
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (212),
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (8953), (8955), (9434), (9540),
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9542), (function-axioms) are inconsistent by
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2177.
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.01/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9543) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9543) implies:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9544) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9544) gives:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9545) all_56_12 = e0 & op(e0, e3) = e0
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9545) implies:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9546) all_56_12 = e0
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (9521),
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540), (9546), (function-axioms) are inconsistent
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2295.
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9547) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9547) gives:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9548) all_56_13 = e0 & op(e0, e2) = e0
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9548) implies:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9549) op(e0, e2) = e0
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9426), (9549), (function-axioms) are
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9550) all_56_14 = e0 & op(e0, e1) = e0
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9550) implies:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9551) all_56_14 = e0
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9552) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (168),
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (214), (215),
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (220), (222), (223), (224),
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (376), (8953), (8961),
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9426), (9434), (9540), (9552), (function-axioms)
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #968.
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9553) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9553) gives:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9554) all_56_7 = e3 & op(e1, e2) = e3
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9554) implies:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555) op(e1, e2) = e3
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9556) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9556) gives:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9557) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9522), (9531), (9557), (function-axioms) are
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #758.
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9558) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9535), (9555), (9558), (function-axioms) are
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2363.
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9559) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9559) gives:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9560) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9469), (9560), (function-axioms) are inconsistent
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3443.
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9561) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9561) gives:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9562) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9562) implies:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563) op(e3, e0) = e3
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9531), (9563), (function-axioms) are
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #872.
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (158), (160), (194), (338), (370), (376),
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962), (9426), (9435), (9437), (9439), (9564),
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #965.
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9565) all_56_13 = e3 & op(e0, e2) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9565) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9566) all_56_13 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (222),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8961), (9434), (9456), (9501), (9544),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9551), (9566) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1945.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9567) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9567) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9568) all_56_6 = e3 & op(e1, e3) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9568) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9569) all_56_6 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (160), (162), (163),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (229), (233), (7124), (7131), (7132),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449), (9450), (9468), (9535), (9569),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #838.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9570) all_56_12 = e3 & op(e0, e3) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9570) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9571) all_56_12 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (208), (8961),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9463), (9571) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2667.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9572) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9573) all_54_4 = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (9495), (9573) are inconsistent by
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3355.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574) all_54_4 = e1 | all_54_4 = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (272), (7123), (9522), (9574),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3352.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575) all_56_12 = e0 & op(e0, e3) = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9575) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576) op(e0, e3) = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9512), (9576), (function-axioms) are
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3461.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577) all_56_10 = e2 & op(e2, e0) = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9577) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9578) all_56_10 = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9456), (9578) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3212.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9579) all_54_6 = e1 | all_54_6 = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9427), (9474), (9579) are inconsistent by
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3127.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | (9580) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9580) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | (9581) ~ (all_14_1 = e1)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | (9582) op(e2, e0) = all_14_1
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (103), (9422), (9457), (9581), (9582),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | #733.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | (9583) all_56_11 = e1 & op(e1, e0) = e1
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9583) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | (9584) op(e1, e0) = e1
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (9450), (9584), (function-axioms) are
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (9585) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8961), (9450), (9585),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | #2556.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | (9586) all_54_10 = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (9437), (9586) are inconsistent by
% 253.26/49.72 | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 253.26/49.72 | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | (9587) all_36_2 = e2
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | COMBINE_EQS: (306), (9587) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | (9588) all_6_2 = e2
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | SIMP: (9588) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | (9589) all_6_2 = e2
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | COMBINE_EQS: (336), (9589) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | (9590) all_40_2 = e2
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | REDUCE: (352), (9589) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | (9591) ~ (all_52_2 = e2)
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | REDUCE: (366), (9589) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | (9592) ~ (all_52_9 = e2)
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | REDUCE: (370), (9589) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | (9593) ~ (all_52_14 = e2)
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | REDUCE: (376), (9589) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | (9594) ~ (e3 = e2)
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | REDUCE: (39), (9589) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | (9595) op(e1, e1) = e2
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 253.26/49.72 | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | (9596) ~ (all_40_2 = e2)
% 253.26/49.72 | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | REDUCE: (9590), (9596) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | | (9597) $false
% 253.26/49.72 | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | CLOSE: (9597) is inconsistent.
% 253.26/49.72 | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | (9598) ( ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0
% 253.26/49.72 | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 253.26/49.72 | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 253.26/49.72 | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 253.26/49.72 | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | (9599) ~ (all_48_2 = e0)
% 253.26/49.72 | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | REDUCE: (9422), (9599) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | | | (9600) $false
% 253.26/49.72 | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | CLOSE: (9600) is inconsistent.
% 253.26/49.72 | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | (9601) ( ~ (all_48_0 = e1) & op(e2, all_48_1) = all_48_0
% 253.26/49.72 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 253.26/49.72 | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 253.26/49.72 | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 253.26/49.72 | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | (9602) all_54_3 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (8953), (9602) are inconsistent by
% 253.26/49.72 | | | | | | | | | | | | | | | | | | sub-proof #3145.
% 253.26/49.72 | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | (9603) ~ (all_54_3 = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | (9604) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (9605) all_54_4 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9605) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (9606) all_52_1 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | SIMP: (9606) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (9607) all_52_1 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | REDUCE: (149), (9607) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (9608) ~ (all_52_2 = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | SIMP: (9608) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (9609) ~ (all_52_2 = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9607) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (9610) ~ (all_52_9 = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | SIMP: (9610) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (9611) ~ (all_52_9 = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9607) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (9612) ~ (all_52_13 = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | REDUCE: (167), (9607) imply:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | (9613) op(e2, e3) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | (9614) all_54_6 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9611), (9614) are inconsistent by
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | sub-proof #2704.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | (9615) ~ (all_54_6 = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | (9616) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | (9617) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9617) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | (9618) all_56_6 = e3 & op(e1, e3) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (141), (160), (196), (213), (226),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | (227), (228), (262), (7124), (9434), (9591),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | (9595), (9609), (9618), (function-axioms) are
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #730.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | (9619) all_56_7 = e3 & op(e1, e2) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9619) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | (9620) all_56_7 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | (9621) op(e1, e2) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | (9622) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9622) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | (9623) all_56_4 = e3 & op(e3, e1) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9623) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | (9624) all_56_4 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | (9625) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9625) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (9626) all_56_0 = e3 & op(e3, e3) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9626) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (9627) op(e3, e3) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7132), (9627), (function-axioms) are
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (9628) all_56_2 = e3 & op(e2, e3) = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9628) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (9629) all_56_2 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9630) all_54_8 = e3
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9609), (9630) are inconsistent by
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2703.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9631) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9632) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7132), (9613), (9632),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #887.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9633) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9634) all_56_6 = e2 & op(e1, e3) = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9634) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) all_56_6 = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (213), (214), (9595),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620), (9621), (9635), (function-axioms) are
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2072.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9636) all_56_12 = e2 & op(e0, e3) = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9636) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9637) op(e0, e3) = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9638) all_56_15 = e0 & op(e0, e0) = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9638) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9639) op(e0, e0) = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (212),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (8953), (8955), (9434), (9629),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9639), (function-axioms) are inconsistent by
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2177.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9640) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9640) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9641) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9642) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9642) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9643) all_56_2 = e2 & op(e2, e3) = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9643) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9644) op(e2, e3) = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9613), (9644), (function-axioms) are
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #888.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9645) all_56_3 = e2 & op(e2, e2) = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9434), (9645) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3378.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9646) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9646) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9647) all_56_5 = e2 & op(e2, e1) = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9647) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) op(e2, e1) = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9592), (9648), (function-axioms) are
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3465.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9649) all_56_10 = e2 & op(e2, e0) = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9649) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9650) all_56_10 = e2
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9651) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9651) gives:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9652) all_56_0 = e0 & op(e3, e3) = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7131), (9652) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2619.
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9653) all_56_2 = e0 & op(e2, e3) = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9653) implies:
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9654) all_56_2 = e0
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (9434),
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9650), (9654) are inconsistent by sub-proof
% 253.26/49.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3370.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9655) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9655) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9656) all_56_6 = e0 & op(e1, e3) = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9656) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9657) all_56_6 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9641) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9658) all_56_9 = e0 & op(e3, e0) = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9658) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9659) op(e3, e0) = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9631) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9660) all_54_8 = e2
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9660) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9661) all_52_2 = e2
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (9661) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9662) $false
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9662) is inconsistent.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9663) all_54_8 = e1 | all_54_8 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9663) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9664) all_54_8 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9664) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9665) all_52_2 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7124), (9665) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9666) $false
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9666) is inconsistent.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9667) all_54_8 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9667) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9668) all_52_2 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (9668) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9669) ~ (all_52_3 = e0)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9669) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670) ~ (all_52_3 = e0)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (9668) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9671) ~ (all_52_14 = e0)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9671) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9672) ~ (all_52_14 = e0)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9673) all_54_11 = e3
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (8955), (9673) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2814.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9674) ~ (all_54_11 = e3)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9675) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9676) all_54_11 = e2
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (9593), (9676) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2813.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9677) all_54_11 = e1 | all_54_11 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9677) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9678) all_54_11 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (9678) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679) all_52_14 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9679) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9680) all_52_14 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9680) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9681) ~ (all_52_13 = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8955), (9680) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9682) ~ (e3 = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (9680) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9683) op(e1, e0) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9684) all_54_7 = e3
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (8954), (9684) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2952.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9685) ~ (all_54_7 = e3)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9686) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9686) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9687) all_54_7 = e2
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (9687) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9688) all_52_13 = e2
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9688) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9689) all_52_13 = e2
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9689) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690) ~ (all_52_12 = e2)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (9689) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691) op(e2, e0) = e2
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9692) (all_57_24 = all_57_25 & op(all_57_25, e3) =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e3, e0) = all_57_25 &
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_26 = all_57_27 &
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_27, e2) = all_57_27 & op(e2, e0) =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & $i(all_57_27))
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9692) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9693) all_57_24 = all_57_25 & op(all_57_25, e3) =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e3, e0) = all_57_25 & $i(all_57_25)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9693) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9694) op(e3, e0) = all_57_25
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695) op(all_57_25, e3) = all_57_25
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (203), (275), (7126), (9424), (9659),
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670), (9694), (9695), (function-axioms) are
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2485.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9696) all_57_26 = all_57_27 & op(all_57_27, e2) =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e2, e0) = all_57_27 & $i(all_57_27)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (222), (223), (224), (273), (7128),
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8953), (9434), (9435), (9604), (9650), (9690),
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691), (9696), (function-axioms) are inconsistent
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1080.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9697) (all_57_28 = all_57_29 & op(all_57_29, e1) =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e1, e0) = all_57_29 &
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_30 = all_57_31 &
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_31, e0) = all_57_31 & op(e0, e0) =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9697) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9698) all_57_28 = all_57_29 & op(all_57_29, e1) =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e1, e0) = all_57_29 & $i(all_57_29)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (273), (7128), (9595), (9604), (9683),
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690), (9698), (function-axioms) are inconsistent
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1079.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9699) all_57_30 = all_57_31 & op(all_57_31, e0) =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & op(e0, e0) = all_57_31 & $i(all_57_31)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8953), (8962), (9598), (9621), (9699),
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1078.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9700) all_54_7 = e1 | all_54_7 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9428), (9681), (9700) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2795.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701) all_54_11 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (9672), (9701) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2805.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9702) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703) all_56_10 = e0 & op(e2, e0) = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9703) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9704) all_56_10 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434), (9704) are inconsistent by sub-proof
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3038.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705) all_56_11 = e0 & op(e1, e0) = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9705) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706) all_56_11 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9707) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9707) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9708) all_56_9 = e1 & op(e3, e0) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9708) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9709) all_56_9 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9710) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9711) all_56_6 = e1 & op(e1, e3) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9711) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9712) all_56_6 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9657), (9712) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713) e1 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (210), (211), (8961),
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706), (9709), (9713) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1548.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9714) all_56_7 = e1 & op(e1, e2) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9714) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9715) op(e1, e2) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9621), (9715), (function-axioms) are
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9716) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9716) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9717) all_56_8 = e1 & op(e1, e1) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9717) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9718) op(e1, e1) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9595), (9718), (function-axioms) are
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719) all_56_11 = e1 & op(e1, e0) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9719) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9720) all_56_11 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9706), (9720) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721) e1 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (210), (211), (8961),
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706), (9709), (9721) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1548.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9722) all_56_10 = e1 & op(e2, e0) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9650), (9722) are inconsistent by sub-proof
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3390.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9723) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (8961), (9706), (9723) are inconsistent
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2612.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9724) all_56_12 = e0 & op(e0, e3) = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9724) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9725) op(e0, e3) = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9637), (9725), (function-axioms) are
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #763.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | (9726) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9726) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (9727) all_56_6 = e3 & op(e1, e3) = e3
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9727) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (9728) all_56_6 = e3
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9729) all_54_8 = e3
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9609), (9729) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2703.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9730) ~ (all_54_8 = e3)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9731) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9731) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9732) all_54_8 = e2
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9591), (9732) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2699.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9733) ~ (all_54_8 = e2)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9734) all_54_8 = e1 | all_54_8 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9734) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9735) all_54_8 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (7124), (9735) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2400.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9736) all_54_8 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9736) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737) all_52_2 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9737) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9738) all_52_2 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (9738) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9739) ~ (all_52_3 = e0)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9739) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740) ~ (all_52_3 = e0)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (9738) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9741) ~ (e2 = e0)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7124), (9738) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9742) ~ (e1 = e0)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9743) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9743) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9744) all_56_2 = e3 & op(e2, e3) = e3
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9744) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9745) all_56_2 = e3
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9616) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9746) all_54_6 = e2
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9592), (9746) are inconsistent by
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3130.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9747) ~ (all_54_6 = e2)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9748) all_54_6 = e1 | all_54_6 = e0
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9748) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9749) all_54_6 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (9749) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9750) all_52_9 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9750) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9751) all_52_9 = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9751) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9752) ~ (all_52_13 = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9752) implies:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9753) ~ (all_52_13 = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9611), (9751) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9754) ~ (e3 = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9592), (9751) imply:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9755) ~ (e2 = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9756) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9756) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9757) all_56_9 = e1 & op(e3, e0) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7128), (9757), (function-axioms) are
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9758) all_56_10 = e1 & op(e2, e0) = e1
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9753), (9758), (function-axioms) are
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9759) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9759) gives:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9760) all_56_11 = e1 & op(e1, e0) = e1
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9760) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761) all_56_11 = e1
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9762) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9762) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9763) all_56_1 = e3 & op(e3, e2) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9763) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9764) all_56_1 = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (168), (206),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (215), (216),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (376), (8953), (8961),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434), (9624), (9745), (9764), (function-axioms)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1570.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9765) all_56_3 = e3 & op(e2, e2) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (218), (219), (220), (376),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961), (9426), (9434), (9624), (9740), (9765),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #729.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9766) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9766) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (213), (9595), (9620), (9728),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761), (function-axioms) are inconsistent by
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #743.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9767) all_56_13 = e3 & op(e0, e2) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9767) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9768) all_56_13 = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (229), (231), (233), (7132), (8961),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9426), (9728), (9745), (9768), (function-axioms)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1252.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9769) all_56_15 = e1 & op(e0, e0) = e1
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8961), (9769) are inconsistent by sub-proof
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3276.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9770) all_54_6 = e0
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9427), (9770) are inconsistent by
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3128.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771) all_56_3 = e3 & op(e2, e2) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (218), (219), (220), (376),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961), (9426), (9434), (9624), (9740), (9771),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #729.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (217), (218),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (8954), (9624), (9772), (function-axioms)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #728.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9773) all_56_12 = e3 & op(e0, e3) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9773) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9774) all_56_12 = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7132), (9613), (9775),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | #887.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9776) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9776) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9777) all_56_6 = e2 & op(e1, e3) = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9777) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778) all_56_6 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (216), (376), (8961), (9595),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778), (function-axioms) are inconsistent by
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #751.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9779) all_56_12 = e2 & op(e0, e3) = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9779) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9780) all_56_12 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9774), (9780) imply:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9781) e3 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9781) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9782) e3 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9624), (9782) imply:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9783) all_56_4 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (9595), (9783), (function-axioms)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | (9784) all_56_5 = e3 & op(e2, e1) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9784) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | (9785) all_56_5 = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | (9786) op(e2, e1) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | (9787) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9787) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9788) all_56_0 = e3 & op(e3, e3) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9788) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9789) op(e3, e3) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (91),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (120), (123), (126),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (136), (141), (143), (145), (146),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (158), (160), (162), (163), (165), (167),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (193), (194), (196), (197),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (201), (202), (203), (206), (207), (208),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (213), (214), (216), (217), (218),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (226), (227),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (235),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (241), (253), (262), (263), (272), (273),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (274), (275), (306), (336), (338), (352), (366),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (376), (8953), (8961), (8962), (9423),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9424), (9426), (9427), (9434), (9435), (9437),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9620), (9621), (9785), (9786), (9789),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | #1130.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9790) all_56_2 = e3 & op(e2, e3) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9790) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9791) all_56_2 = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9785), (9786), (9791), (function-axioms) are
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2176.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | (9792) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9792) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9793) all_56_6 = e3 & op(e1, e3) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (141), (160), (196), (213), (226),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (262), (7124), (9434), (9591),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9595), (9609), (9793), (function-axioms) are
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #730.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9794) all_56_12 = e3 & op(e0, e3) = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9794) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (9795) all_56_12 = e3
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9796) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9796) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9797) all_56_0 = e2 & op(e3, e3) = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9797) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9798) op(e3, e3) = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7132), (9798), (function-axioms) are
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9799) all_56_2 = e2 & op(e2, e3) = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9799) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9800) op(e2, e3) = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (9419), (9434), (9601),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9785), (9786), (9800), (function-axioms) are
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #723.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9801) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9801) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9802) all_56_6 = e2 & op(e1, e3) = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9802) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9803) all_56_6 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (213), (214), (9595),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620), (9621), (9803), (function-axioms) are
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2072.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804) all_56_12 = e2 & op(e0, e3) = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9804) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9805) all_56_12 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9795), (9805) imply:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9806) e3 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9806) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9807) e3 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9620), (9807) imply:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9808) all_56_7 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (376), (9595), (9808), (function-axioms)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3082.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | (9809) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (376), (8961), (9426), (9809),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | | #1239.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | (9810) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (210),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | (211), (222), (223), (224), (376), (8961), (9434),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | (9810), (function-axioms) are inconsistent by
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | | sub-proof #1189.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | (9811) ~ (all_54_4 = e3)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | (9812) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 253.26/49.74 | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | REDUCE: (272), (9811) imply:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | (9813) ~ (all_52_1 = e3)
% 253.26/49.74 | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (9812) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | (9814) all_54_4 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9814) imply:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | (9815) all_52_1 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | SIMP: (9815) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | (9816) all_52_1 = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (9816) imply:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | (9817) op(e2, e3) = e2
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (164), (222), (224),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | (8954), (9419), (9434), (9601), (9817),
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | #722.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | (9818) all_54_4 = e1 | all_54_4 = e0
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (7123), (9423), (9818) are inconsistent by
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | | sub-proof #2876.
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | (9819) all_18_2 = e0
% 253.26/49.74 | | | | | | | | | | | | | | (9820) ( ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0
% 253.26/49.74 | | | | | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 253.26/49.74 | | | | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 253.26/49.74 | | | | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 253.26/49.74 | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | COMBINE_EQS: (328), (9819) imply:
% 253.26/49.74 | | | | | | | | | | | | | | (9821) all_6_2 = e0
% 253.26/49.74 | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | COMBINE_EQS: (320), (9821) imply:
% 253.26/49.74 | | | | | | | | | | | | | | (9822) all_28_2 = e0
% 253.26/49.74 | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | REDUCE: (365), (9821) imply:
% 253.26/49.74 | | | | | | | | | | | | | | (9823) ~ (all_52_8 = e0)
% 253.26/49.74 | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | REDUCE: (368), (9821) imply:
% 253.26/49.74 | | | | | | | | | | | | | | (9824) ~ (all_52_11 = e0)
% 253.26/49.74 | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | REDUCE: (39), (9821) imply:
% 253.26/49.74 | | | | | | | | | | | | | | (9825) op(e1, e1) = e0
% 253.26/49.74 | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 253.26/49.74 | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | (9826) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 253.26/49.74 | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 253.26/49.74 | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | BETA: splitting (9826) gives:
% 253.26/49.74 | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | (9827) all_56_0 = e0 & op(e3, e3) = e0
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7131), (9827) are inconsistent by sub-proof
% 253.26/49.74 | | | | | | | | | | | | | | | | #2619.
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | (9828) all_56_1 = e0 & op(e3, e2) = e0
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | ALPHA: (9828) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | (9829) all_56_1 = e0
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 253.26/49.74 | | | | | | | | | | | | | | | | (208), (226), (227), (228), (8961), (9426),
% 253.26/49.74 | | | | | | | | | | | | | | | | (9434), (9829), (function-axioms) are inconsistent
% 253.26/49.74 | | | | | | | | | | | | | | | | by sub-proof #2914.
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | End of split
% 253.26/49.74 | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | (9830) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 253.26/49.74 | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 253.26/49.74 | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | BETA: splitting (9830) gives:
% 253.26/49.74 | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | (9831) all_56_4 = e0 & op(e3, e1) = e0
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9823), (9831), (function-axioms) are
% 253.26/49.74 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | Case 2:
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | (9832) all_56_9 = e0 & op(e3, e0) = e0
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | ALPHA: (9832) implies:
% 253.26/49.74 | | | | | | | | | | | | | | | | (9833) all_56_9 = e0
% 253.26/49.74 | | | | | | | | | | | | | | | | (9834) op(e3, e0) = e0
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 253.26/49.74 | | | | | | | | | | | | | | | |
% 253.26/49.74 | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.74 | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | (9835) all_56_15 = e0 & op(e0, e0) = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | ALPHA: (9835) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | (9836) op(e0, e0) = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8962), (9836), (function-axioms) are
% 253.26/49.75 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3313.
% 253.26/49.75 | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.75 | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | (9837) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 253.26/49.75 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 253.26/49.75 | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 253.26/49.75 | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 253.26/49.75 | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 253.26/49.75 | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | ALPHA: (9837) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | (9838) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 253.26/49.75 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 253.26/49.75 | | | | | | | | | | | | | | | | | e1) = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | (9839) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 253.26/49.75 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 253.26/49.75 | | | | | | | | | | | | | | | | | e0) = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | BETA: splitting (9838) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.75 | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | (9840) all_56_12 = e0 & op(e0, e3) = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | ALPHA: (9840) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | (9841) all_56_12 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | (9842) op(e0, e3) = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | (9843) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (9843) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9844) all_56_6 = e0 & op(e1, e3) = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | ALPHA: (9844) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9845) all_56_6 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (206),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (215), (216),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (222), (223), (224), (226),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (227), (228), (231), (233), (235), (376), (8961),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9426), (9434), (9825), (9845), (function-axioms)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1002.
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9846) all_56_7 = e0 & op(e1, e2) = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | ALPHA: (9846) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9847) all_56_7 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9434), (9847) are inconsistent by sub-proof
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | #3252.
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.75 | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | (9848) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (9848) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9849) all_56_8 = e0 & op(e1, e1) = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | ALPHA: (9849) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9850) all_56_8 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (9842) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9851) all_52_3 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (9834) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9852) all_52_12 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (9851) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9853) ~ (all_52_2 = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (9851) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9854) ~ (all_52_7 = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (9851) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9855) ~ (all_52_11 = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9852) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9856) ~ (all_52_14 = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | SIMP: (9856) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9857) ~ (all_52_14 = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (7128), (9852) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9858) ~ (e1 = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | (9859) ~ (all_26_2 = e3)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8949), (9859) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | (9860) $false
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9860) is inconsistent.
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | (9861) ( ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9861) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | (9862) ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0 &
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_26_1 & $i(all_26_0) &
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9862) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | (9863) ~ (all_26_0 = e2)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | (9864) op(e0, e3) = all_26_1
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | (9865) op(e0, all_26_1) = all_26_0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8947) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9866) ~ (all_12_0 = e1) & op(e0, all_12_1) = all_12_0 &
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9866) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9867) ~ (all_12_0 = e1)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9868) op(e0, e3) = all_12_1
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9869) op(e0, all_12_1) = all_12_0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (9842), (9864) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9870) all_26_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (9864), (9868)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9871) all_26_1 = all_12_1
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9870), (9871) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9872) all_12_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9872) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9873) all_12_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9865), (9870) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9874) op(e0, e0) = all_26_0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9869), (9873) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9875) op(e0, e0) = all_12_0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_26_0,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (8962), (9874) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9876) all_26_0 = e3
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_0,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | all_26_0, e0, e0, simplifying with (9874), (9875)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9877) all_26_0 = all_12_0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9876), (9877) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9878) all_12_0 = e3
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (73), (103), (126),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (141), (145), (149), (157), (158), (162), (163),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (164), (167), (168), (170), (193), (196), (200),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (212), (214),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (220), (222), (223),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (231), (233),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (241), (253), (262), (272), (376),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (7123), (7124), (7126), (7128), (7132), (8953),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (8955), (8961), (9419), (9422), (9423), (9426),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9434), (9435), (9820), (9822), (9824), (9825),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9833), (9834), (9839), (9841), (9842), (9850),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9853), (9857), (9867), (9875), (9878),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | #712.
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9879) ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9879) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9880) ~ (all_12_1 = e2)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9881) op(e0, e3) = all_12_1
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (9842), (9864) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9882) all_26_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (9864), (9881)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9883) all_26_1 = all_12_1
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9882), (9883) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9884) all_12_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9884) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9885) all_12_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9880), (9885) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9886) ~ (e2 = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9865), (9882) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9887) op(e0, e0) = all_26_0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_26_0,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (8962), (9887) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9888) all_26_0 = e3
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (73), (103),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (126), (141), (145), (149), (157), (158), (162),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (167), (168), (170), (193), (196),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (200), (206), (207), (208), (210), (211), (212),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (220), (222),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (231),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (241), (253), (262), (272),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (376), (7123), (7124), (7126), (7128), (7132),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (8953), (8955), (8961), (8962), (9419), (9422),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9423), (9426), (9434), (9435), (9820), (9822),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9824), (9825), (9833), (9834), (9839), (9841),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9842), (9850), (9853), (9857), (9861), (9880),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9881), (function-axioms) are inconsistent by
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | (9889) ~ (all_26_1 = e1) & op(e0, e3) = all_26_1 &
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9889) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | (9890) ~ (all_26_1 = e1)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | (9891) op(e0, e3) = all_26_1
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8947) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9892) ~ (all_12_0 = e1) & op(e0, all_12_1) = all_12_0 &
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9892) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9893) ~ (all_12_0 = e1)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9894) op(e0, e3) = all_12_1
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9895) op(e0, all_12_1) = all_12_0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (9842), (9891) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9896) all_26_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (9891), (9894)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9897) all_26_1 = all_12_1
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9896), (9897) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9898) all_12_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9898) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9899) all_12_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9895), (9899) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9900) op(e0, e0) = all_12_0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_12_0,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (8962), (9900) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9901) all_12_0 = e3
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (73), (103), (126),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (141), (145), (149), (157), (158), (162), (163),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (164), (167), (168), (170), (193), (196), (200),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (212), (214),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (220), (222), (223),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (231), (233),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (241), (253), (262), (272), (376),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (7123), (7124), (7126), (7128), (7132), (8953),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (8955), (8961), (9419), (9422), (9423), (9426),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9434), (9435), (9820), (9822), (9824), (9825),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9833), (9834), (9839), (9841), (9842), (9850),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9853), (9857), (9893), (9900), (9901),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | #712.
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9902) ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9902) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9903) ~ (all_12_1 = e2)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9904) op(e0, e3) = all_12_1
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (9842), (9891) gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9905) all_26_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (9891), (9904)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9906) all_26_1 = all_12_1
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9905), (9906) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9907) all_12_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9907) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9908) all_12_1 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9903), (9908) imply:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9909) ~ (e2 = e0)
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (73), (103),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (126), (141), (145), (149), (157), (158), (162),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (167), (168), (170), (193), (196),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (200), (206), (207), (208), (210), (211), (212),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (220), (222),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (231),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (241), (253), (262), (272),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (376), (7123), (7124), (7126), (7128), (7132),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (8953), (8955), (8961), (8962), (9419), (9422),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9423), (9426), (9434), (9435), (9820), (9822),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9824), (9825), (9833), (9834), (9839), (9841),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9842), (9850), (9853), (9857), (9861), (9903),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | (9904), (function-axioms) are inconsistent by
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9910) all_56_11 = e0 & op(e1, e0) = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | ALPHA: (9910) implies:
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9911) all_56_11 = e0
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (210), (211), (8961),
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | (9833), (9911) are inconsistent by sub-proof
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | | #2611.
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.75 | | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.75 | | | | | | | | | | | | | | | | | |
% 253.26/49.75 | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | (9912) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 253.26/49.76 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 253.26/49.76 | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (9426), (9824), (9912),
% 253.26/49.76 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.76 | | | | | | | | | | | | | | | | | | #3079.
% 253.26/49.76 | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | (9913) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 253.26/49.76 | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 253.26/49.76 | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (165),
% 253.26/49.76 | | | | | | | | | | | | (170), (222), (223), (224), (225), (9424), (9425),
% 253.26/49.76 | | | | | | | | | | | | (9426), (9427), (9913), (function-axioms) are
% 253.26/49.76 | | | | | | | | | | | | inconsistent by sub-proof #764.
% 253.26/49.76 | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | |
% 253.26/49.76 | | | | | | | | End of split
% 253.26/49.76 | | | | | | | |
% 253.26/49.76 | | | | | | | End of split
% 253.26/49.76 | | | | | | |
% 253.26/49.76 | | | | | | Case 2:
% 253.26/49.76 | | | | | | |
% 253.26/49.76 | | | | | | | (9914) all_56_2 = e1 & op(e2, e3) = e1
% 253.26/49.76 | | | | | | |
% 253.26/49.76 | | | | | | | REF_CLOSE: (167), (7123), (9914), (function-axioms) are
% 253.26/49.76 | | | | | | | inconsistent by sub-proof #895.
% 253.26/49.76 | | | | | | |
% 253.26/49.76 | | | | | | End of split
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | Case 2:
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | | (9915) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 &
% 253.26/49.76 | | | | | | op(e0, e3) = e1)
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | | REF_CLOSE: (159), (163), (7124), (7125), (9915), (function-axioms)
% 253.26/49.76 | | | | | | are inconsistent by sub-proof #3022.
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | End of split
% 253.26/49.76 | | | | |
% 253.26/49.76 | | | | End of split
% 253.26/49.76 | | | |
% 253.26/49.76 | | | Case 2:
% 253.26/49.76 | | | |
% 253.26/49.76 | | | | (9916) all_8_2 = e3
% 253.26/49.76 | | | | (9917) ( ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 & op(e2, e3) =
% 253.26/49.76 | | | | all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e0) &
% 253.26/49.76 | | | | op(e2, e3) = all_8_1 & $i(all_8_1))
% 253.26/49.76 | | | |
% 253.26/49.76 | | | | COMBINE_EQS: (305), (9916) imply:
% 253.26/49.76 | | | | (9918) all_42_2 = e3
% 253.26/49.76 | | | |
% 253.26/49.76 | | | | REDUCE: (351), (9916) imply:
% 253.26/49.76 | | | | (9919) ~ (all_52_1 = e3)
% 253.26/49.76 | | | |
% 253.26/49.76 | | | | REDUCE: (354), (9916) imply:
% 253.26/49.76 | | | | (9920) ~ (all_52_4 = e3)
% 253.26/49.76 | | | |
% 253.26/49.76 | | | | REDUCE: (356), (9916) imply:
% 253.26/49.76 | | | | (9921) ~ (all_52_6 = e3)
% 253.26/49.76 | | | |
% 253.26/49.76 | | | | REDUCE: (358), (9916) imply:
% 253.26/49.76 | | | | (9922) ~ (all_52_7 = e3)
% 253.26/49.76 | | | |
% 253.26/49.76 | | | | REDUCE: (360), (9916) imply:
% 253.26/49.76 | | | | (9923) ~ (all_52_9 = e3)
% 253.26/49.76 | | | |
% 253.26/49.76 | | | | REDUCE: (362), (9916) imply:
% 253.26/49.76 | | | | (9924) ~ (all_52_13 = e3)
% 253.26/49.76 | | | |
% 253.26/49.76 | | | | BETA: splitting (224) gives:
% 253.26/49.76 | | | |
% 253.26/49.76 | | | | Case 1:
% 253.26/49.76 | | | | |
% 253.26/49.76 | | | | | (9925) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2,
% 253.26/49.76 | | | | | e2) = e3)
% 253.26/49.76 | | | | |
% 253.26/49.76 | | | | | BETA: splitting (9925) gives:
% 253.26/49.76 | | | | |
% 253.26/49.76 | | | | | Case 1:
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | | (9926) all_56_2 = e3 & op(e2, e3) = e3
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | | REF_CLOSE: (167), (9919), (9926), (function-axioms) are inconsistent
% 253.26/49.76 | | | | | | by sub-proof #837.
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | Case 2:
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | | (9927) all_56_3 = e3 & op(e2, e2) = e3
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | | ALPHA: (9927) implies:
% 253.26/49.76 | | | | | | (9928) all_56_3 = e3
% 253.26/49.76 | | | | | | (9929) op(e2, e2) = e3
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | | BETA: splitting (46) gives:
% 253.26/49.76 | | | | | |
% 253.26/49.76 | | | | | | Case 1:
% 253.26/49.76 | | | | | | |
% 253.26/49.76 | | | | | | | (9930) ~ (all_10_2 = e1)
% 253.26/49.76 | | | | | | |
% 253.26/49.76 | | | | | | | BETA: splitting (49) gives:
% 253.26/49.76 | | | | | | |
% 253.26/49.76 | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | |
% 253.26/49.76 | | | | | | | | (9931) ~ (all_12_2 = e3)
% 253.26/49.76 | | | | | | | |
% 253.26/49.76 | | | | | | | | REDUCE: (334), (9931) imply:
% 253.26/49.76 | | | | | | | | (9932) ~ (all_4_2 = e3)
% 253.26/49.76 | | | | | | | |
% 253.26/49.76 | | | | | | | | BETA: splitting (55) gives:
% 253.26/49.76 | | | | | | | |
% 253.26/49.76 | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | |
% 253.26/49.76 | | | | | | | | | (9933) ~ (all_16_2 = e0)
% 253.26/49.76 | | | | | | | | |
% 253.26/49.76 | | | | | | | | | REDUCE: (331), (9933) imply:
% 253.26/49.76 | | | | | | | | | (9934) ~ (all_10_2 = e0)
% 253.26/49.76 | | | | | | | | |
% 253.26/49.76 | | | | | | | | | BETA: splitting (58) gives:
% 253.26/49.76 | | | | | | | | |
% 253.26/49.76 | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | (9935) ~ (all_18_2 = e0)
% 253.26/49.76 | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | REDUCE: (328), (9935) imply:
% 253.26/49.76 | | | | | | | | | | (9936) ~ (all_6_2 = e0)
% 253.26/49.76 | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | BETA: splitting (61) gives:
% 253.26/49.76 | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | (9937) ~ (all_20_2 = e1)
% 253.26/49.76 | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | REDUCE: (322), (9937) imply:
% 253.26/49.76 | | | | | | | | | | | (9938) ~ (all_4_2 = e1)
% 253.26/49.76 | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | BETA: splitting (189) gives:
% 253.26/49.76 | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | (9939) all_54_15 = e3
% 253.26/49.76 | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | REF_CLOSE: (249), (9932), (9939) are inconsistent by
% 253.26/49.76 | | | | | | | | | | | | sub-proof #3475.
% 253.26/49.76 | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | (9940) ~ (all_54_15 = e3)
% 253.26/49.76 | | | | | | | | | | | | (9941) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 253.26/49.76 | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | BETA: splitting (9941) gives:
% 253.26/49.76 | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | (9942) all_54_15 = e2
% 253.26/49.76 | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | REF_CLOSE: (249), (375), (9942) are inconsistent by sub-proof
% 253.26/49.76 | | | | | | | | | | | | | #3474.
% 253.26/49.76 | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | (9943) ~ (all_54_15 = e2)
% 253.26/49.76 | | | | | | | | | | | | | (9944) all_54_15 = e1 | all_54_15 = e0
% 253.26/49.76 | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | BETA: splitting (9944) gives:
% 253.26/49.76 | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | (9945) all_54_15 = e1
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | REF_CLOSE: (249), (9938), (9945) are inconsistent by
% 253.26/49.76 | | | | | | | | | | | | | | sub-proof #3473.
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | (9946) all_54_15 = e0
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | COMBINE_EQS: (249), (9946) imply:
% 253.26/49.76 | | | | | | | | | | | | | | (9947) all_4_2 = e0
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | SIMP: (9947) implies:
% 253.26/49.76 | | | | | | | | | | | | | | (9948) all_4_2 = e0
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | REDUCE: (353), (9948) imply:
% 253.26/49.76 | | | | | | | | | | | | | | (9949) ~ (all_52_3 = e0)
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | REDUCE: (364), (9948) imply:
% 253.26/49.76 | | | | | | | | | | | | | | (9950) ~ (all_52_7 = e0)
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | REDUCE: (371), (9948) imply:
% 253.26/49.76 | | | | | | | | | | | | | | (9951) ~ (all_52_11 = e0)
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | REDUCE: (372), (9948) imply:
% 253.26/49.76 | | | | | | | | | | | | | | (9952) ~ (all_52_12 = e0)
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | REDUCE: (374), (9948) imply:
% 253.26/49.76 | | | | | | | | | | | | | | (9953) ~ (all_52_14 = e0)
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | REDUCE: (9932), (9948) imply:
% 253.26/49.76 | | | | | | | | | | | | | | (9954) ~ (e3 = e0)
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | REDUCE: (375), (9948) imply:
% 253.26/49.76 | | | | | | | | | | | | | | (9955) ~ (e2 = e0)
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | REDUCE: (9938), (9948) imply:
% 253.26/49.76 | | | | | | | | | | | | | | (9956) ~ (e1 = e0)
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 253.26/49.76 | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | (9957) all_56_15 = e0 & op(e0, e0) = e0
% 253.26/49.76 | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | ALPHA: (9957) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | (9958) all_56_15 = e0
% 253.26/49.76 | | | | | | | | | | | | | | | (9959) op(e0, e0) = e0
% 253.26/49.76 | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 253.26/49.76 | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | (9960) ~ (all_24_2 = e2)
% 253.26/49.76 | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | REDUCE: (323), (9960) imply:
% 253.26/49.76 | | | | | | | | | | | | | | | | (9961) ~ (all_10_2 = e2)
% 253.26/49.76 | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | (9962) all_54_0 = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (9962) imply:
% 253.26/49.76 | | | | | | | | | | | | | | | | | (9963) all_10_2 = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | SIMP: (9963) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | (9964) all_10_2 = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | REDUCE: (348), (9964) imply:
% 253.26/49.76 | | | | | | | | | | | | | | | | | (9965) ~ (all_52_8 = e3)
% 253.26/49.76 | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | REDUCE: (45), (9964) imply:
% 253.26/49.76 | | | | | | | | | | | | | | | | | (9966) op(e3, e3) = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | (9967) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 253.26/49.76 | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (9923), (9965), (9967),
% 253.26/49.76 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.76 | | | | | | | | | | | | | | | | | | #709.
% 253.26/49.76 | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | (9968) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 253.26/49.76 | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 253.26/49.76 | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | BETA: splitting (9968) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | (9969) all_56_8 = e3 & op(e1, e1) = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (9969), (function-axioms) are
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | (9970) all_56_14 = e3 & op(e0, e1) = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | ALPHA: (9970) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | (9971) op(e0, e1) = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | (9972) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9972) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | (9973) all_56_6 = e3 & op(e1, e3) = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9973) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | (9974) all_56_6 = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | (9975) op(e1, e3) = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | (9976) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9976) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | (9977) all_56_6 = e0 & op(e1, e3) = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9974), (9977) are inconsistent by sub-proof
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | #3290.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | (9978) all_56_7 = e0 & op(e1, e2) = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9978) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | (9979) all_56_7 = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | (9980) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9980) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (9981) all_56_0 = e0 & op(e3, e3) = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9981) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (9982) op(e3, e3) = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9966), (9982), (function-axioms) are
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3246.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (9983) all_56_2 = e0 & op(e2, e3) = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9983) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (9984) op(e2, e3) = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9985) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233),
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9966), (9974), (9985), (function-axioms) are
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #706.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (9986) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9986) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9987) all_56_6 = e1 & op(e1, e3) = e1
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9987) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9988) op(e1, e3) = e1
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9975), (9988), (function-axioms) are
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9989) all_56_12 = e1 & op(e0, e3) = e1
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9989) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9990) all_56_12 = e1
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9991) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9991) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9992) all_56_0 = e2 & op(e3, e3) = e2
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9992) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9993) op(e3, e3) = e2
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9966), (9993), (function-axioms) are
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3330.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9994) all_56_2 = e2 & op(e2, e3) = e2
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9994) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9995) op(e2, e3) = e2
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9984), (9995), (function-axioms) are
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #904.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9996) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9974), (9990), (9996) are inconsistent
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1403.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | (9997) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9997) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (9998) all_56_6 = e0 & op(e1, e3) = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9998) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (9999) all_56_6 = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9974), (9999) imply:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (10000) e3 = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9928), (10000) imply:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (10001) all_56_3 = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (9979), (10001) are inconsistent by sub-proof
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | #3252.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (10002) all_56_12 = e0 & op(e0, e3) = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10002) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | (10003) op(e0, e3) = e0
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9949), (10003), (function-axioms) are
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3461.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | (10004) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (9936), (9953), (10004),
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | #3081.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | (10005) all_56_7 = e3 & op(e1, e2) = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9921), (10005), (function-axioms) are
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | (10006) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10006) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | (10007) all_56_8 = e3 & op(e1, e1) = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (10007), (function-axioms) are
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | (10008) all_56_11 = e3 & op(e1, e0) = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10008) implies:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | (10009) op(e1, e0) = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (9971) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | (10010) all_52_11 = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (10009) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | (10011) all_52_14 = e3
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (10011) imply:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | (10012) ~ (all_6_2 = e3)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | | (10013) ~ (all_36_2 = e2)
% 253.26/49.76 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (10013) imply:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | (10014) ~ (all_6_2 = e2)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (158), (159), (162), (163), (170),
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | (194), (241), (338), (352), (363), (376), (9920),
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | (9929), (9936), (9949), (9950), (9951), (9959),
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | (10014), (function-axioms) are inconsistent by
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | sub-proof #701.
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | (10015) all_36_2 = e2
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (10015) imply:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | (10016) all_6_2 = e2
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (10016) imply:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | (10017) ~ (all_52_9 = e2)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (10016) imply:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | (10018) op(e1, e1) = e2
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (10019) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10019) gives:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | (10020) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9966), (10020), (function-axioms) are
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3470.
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | (10021) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9920), (10018), (10021), (function-axioms)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2882.
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (10022) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10022) gives:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.26/49.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (10023) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (9965), (10017), (10023),
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | | #3464.
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.26/49.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (10024) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (9949), (9950), (9951),
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | (9959), (10024), (function-axioms) are
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3407.
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.78 | | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.78 | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | End of split
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | (10025) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (9930), (9934), (9961), (10025) are
% 253.60/49.78 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | End of split
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | Case 2:
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | (10026) all_24_2 = e2
% 253.60/49.78 | | | | | | | | | | | | | | | | (10027) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 253.60/49.78 | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 253.60/49.78 | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 253.60/49.78 | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (10026) imply:
% 253.60/49.78 | | | | | | | | | | | | | | | | (10028) all_10_2 = e2
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | SIMP: (10028) implies:
% 253.60/49.78 | | | | | | | | | | | | | | | | (10029) all_10_2 = e2
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (10029) imply:
% 253.60/49.78 | | | | | | | | | | | | | | | | (10030) all_32_2 = e2
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | REDUCE: (340), (10029) imply:
% 253.60/49.78 | | | | | | | | | | | | | | | | (10031) ~ (all_52_1 = e2)
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | REDUCE: (344), (10029) imply:
% 253.60/49.78 | | | | | | | | | | | | | | | | (10032) ~ (all_52_3 = e2)
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | REDUCE: (346), (10029) imply:
% 253.60/49.78 | | | | | | | | | | | | | | | | (10033) ~ (all_52_4 = e2)
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | REDUCE: (350), (10029) imply:
% 253.60/49.78 | | | | | | | | | | | | | | | | (10034) ~ (all_52_12 = e2)
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | REDUCE: (45), (10029) imply:
% 253.60/49.78 | | | | | | | | | | | | | | | | (10035) op(e3, e3) = e2
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 253.60/49.78 | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | (10036) ~ (all_32_2 = e2)
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | REDUCE: (10030), (10036) imply:
% 253.60/49.78 | | | | | | | | | | | | | | | | | (10037) $false
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | CLOSE: (10037) is inconsistent.
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | (10038) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 253.60/49.78 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 253.60/49.78 | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 253.60/49.78 | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 253.60/49.78 | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.78 | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | (10039) ~ (all_36_2 = e2)
% 253.60/49.78 | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | REDUCE: (306), (10039) imply:
% 253.60/49.78 | | | | | | | | | | | | | | | | | | (10040) ~ (all_6_2 = e2)
% 253.60/49.78 | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (158), (159), (162), (163), (170),
% 253.60/49.78 | | | | | | | | | | | | | | | | | | (194), (241), (338), (352), (363), (376), (9920),
% 253.60/49.78 | | | | | | | | | | | | | | | | | | (9929), (9936), (9949), (9950), (9951), (9959),
% 253.60/49.78 | | | | | | | | | | | | | | | | | | (10040), (function-axioms) are inconsistent by
% 253.60/49.78 | | | | | | | | | | | | | | | | | | sub-proof #701.
% 253.60/49.78 | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.78 | | | | | | | | | | | | | | | | | |
% 253.60/49.78 | | | | | | | | | | | | | | | | | | (10041) all_36_2 = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | (10042) ( ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0
% 253.60/49.79 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 253.60/49.79 | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 253.60/49.79 | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (10041) imply:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | (10043) all_6_2 = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | REDUCE: (365), (10043) imply:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | (10044) ~ (all_52_8 = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | REDUCE: (366), (10043) imply:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | (10045) ~ (all_52_9 = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | REDUCE: (368), (10043) imply:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | (10046) ~ (all_52_11 = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | REDUCE: (370), (10043) imply:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | (10047) ~ (all_52_14 = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | REDUCE: (376), (10043) imply:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | (10048) ~ (e3 = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | REDUCE: (39), (10043) imply:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | (10049) op(e1, e1) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | (10050) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (10050) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | (10051) all_56_9 = e2 & op(e3, e0) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10034), (10051), (function-axioms) are
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | (10052) all_56_10 = e2 & op(e2, e0) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | ALPHA: (10052) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | (10053) all_56_10 = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | (10054) op(e2, e0) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | (10055) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10055) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (10056) all_56_1 = e2 & op(e3, e2) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10056) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (10057) all_56_1 = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | (10058) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10035), (10057), (10058), (function-axioms)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1983.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | (10059) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10059) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | (10060) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10060) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | (10061) all_56_4 = e0
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | (10062) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10062) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (10063) all_56_12 = e2 & op(e0, e3) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10032), (10063), (function-axioms) are
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (10064) all_56_13 = e2 & op(e0, e2) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (39), (112), (118), (120),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (126), (133), (135), (139), (141),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (165), (167), (168), (169), (170),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (192), (193), (198), (200), (201), (202),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (210), (211), (212), (213), (214),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (220), (222), (226), (227), (228), (230),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (239), (241), (250), (252), (253), (264),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (273), (274), (275), (376), (9919), (9920),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (9921), (9923), (9928), (9929), (9949), (9950),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (9951), (9952), (9953), (9958), (9959), (10027),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (10031), (10032), (10033), (10034), (10035),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (10038), (10042), (10044), (10045), (10046),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (10047), (10049), (10053), (10054), (10064),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | #688.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | (10065) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10065) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (10066) all_56_14 = e2 & op(e0, e1) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10066) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (10067) all_56_14 = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (218), (220),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (10049), (10061), (10067),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | #3103.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (10068) all_56_15 = e2 & op(e0, e0) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10068) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (10069) all_56_15 = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9958), (10069) are inconsistent by sub-proof
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | | #3434.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | (10070) all_56_9 = e0 & op(e3, e0) = e0
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10070) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | (10071) all_56_9 = e0
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (10035),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | (10057), (10071), (function-axioms) are
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2316.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (10072) all_56_3 = e2 & op(e2, e2) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10072) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (10073) op(e2, e2) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (10073), (function-axioms) are
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | (10074) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10074) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (10075) all_56_7 = e2 & op(e1, e2) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10075) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (10076) all_56_7 = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (216), (376), (10049), (10076), (function-axioms)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3082.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (10077) all_56_13 = e2 & op(e0, e2) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (39), (112), (118), (120),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (121), (123), (126), (133), (135), (139), (141),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (162), (163), (165), (167), (168), (169), (170),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (190), (192), (193), (198), (200), (201), (202),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (203), (206), (210), (211), (212), (213), (214),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (216), (220), (222), (226), (227), (228), (230),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (236), (239), (241), (250), (252), (253), (264),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (272), (273), (274), (275), (376), (9919), (9920),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (9921), (9923), (9928), (9929), (9949), (9950),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (9951), (9952), (9953), (9958), (9959), (10027),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (10031), (10032), (10033), (10034), (10035),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (10038), (10042), (10044), (10045), (10046),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (10047), (10049), (10053), (10054), (10077),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | | #688.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | (10078) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (10078) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | (10079) all_56_11 = e2 & op(e1, e0) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | ALPHA: (10079) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | (10080) all_56_11 = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | (216), (376), (10049), (10080), (function-axioms)
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #890.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | (10081) all_56_15 = e2 & op(e0, e0) = e2
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9958), (10081) are inconsistent by sub-proof
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | | #2783.
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | (10082) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 253.60/49.79 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 253.60/49.79 | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 253.60/49.79 | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 253.60/49.79 | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | ALPHA: (10082) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | (10083) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 253.60/49.79 | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 253.60/49.79 | | | | | | | | | | | | | | | e1) = e0)
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (9949), (9950), (9951),
% 253.60/49.79 | | | | | | | | | | | | | | | (10083), (function-axioms) are inconsistent by
% 253.60/49.79 | | | | | | | | | | | | | | | sub-proof #3078.
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | (10084) all_20_2 = e1
% 253.60/49.79 | | | | | | | | | | | (10085) ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0
% 253.60/49.79 | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 253.60/49.79 | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 253.60/49.79 | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | COMBINE_EQS: (322), (10084) imply:
% 253.60/49.79 | | | | | | | | | | | (10086) all_4_2 = e1
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | COMBINE_EQS: (311), (10086) imply:
% 253.60/49.79 | | | | | | | | | | | (10087) all_34_2 = e1
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | REDUCE: (353), (10086) imply:
% 253.60/49.79 | | | | | | | | | | | (10088) ~ (all_52_3 = e1)
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | REDUCE: (364), (10086) imply:
% 253.60/49.79 | | | | | | | | | | | (10089) ~ (all_52_7 = e1)
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | REDUCE: (371), (10086) imply:
% 253.60/49.79 | | | | | | | | | | | (10090) ~ (all_52_11 = e1)
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | REDUCE: (372), (10086) imply:
% 253.60/49.79 | | | | | | | | | | | (10091) ~ (all_52_12 = e1)
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | REDUCE: (373), (10086) imply:
% 253.60/49.79 | | | | | | | | | | | (10092) ~ (all_52_13 = e1)
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | REDUCE: (374), (10086) imply:
% 253.60/49.79 | | | | | | | | | | | (10093) ~ (all_52_14 = e1)
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | REDUCE: (9932), (10086) imply:
% 253.60/49.79 | | | | | | | | | | | (10094) ~ (e3 = e1)
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | REDUCE: (375), (10086) imply:
% 253.60/49.79 | | | | | | | | | | | (10095) ~ (e2 = e1)
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | BETA: splitting (210) gives:
% 253.60/49.79 | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | (10096) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 253.60/49.79 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 253.60/49.79 | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | BETA: splitting (10096) gives:
% 253.60/49.79 | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | (10097) all_56_9 = e1 & op(e3, e0) = e1
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | REF_CLOSE: (168), (10091), (10097), (function-axioms) are
% 253.60/49.79 | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | (10098) all_56_10 = e1 & op(e2, e0) = e1
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | REF_CLOSE: (164), (10092), (10098), (function-axioms) are
% 253.60/49.79 | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | End of split
% 253.60/49.79 | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | (10099) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 253.60/49.79 | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 253.60/49.79 | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | BETA: splitting (10099) gives:
% 253.60/49.79 | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | (10100) all_56_11 = e1 & op(e1, e0) = e1
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | ALPHA: (10100) implies:
% 253.60/49.79 | | | | | | | | | | | | | (10101) op(e1, e0) = e1
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | REF_CLOSE: (160), (10093), (10101), (function-axioms) are
% 253.60/49.79 | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | (10102) all_56_15 = e1 & op(e0, e0) = e1
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | ALPHA: (10102) implies:
% 253.60/49.79 | | | | | | | | | | | | | (10103) all_56_15 = e1
% 253.60/49.79 | | | | | | | | | | | | | (10104) op(e0, e0) = e1
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 253.60/49.79 | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | (10105) ~ (all_24_2 = e2)
% 253.60/49.79 | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | REDUCE: (323), (10105) imply:
% 253.60/49.79 | | | | | | | | | | | | | | (10106) ~ (all_10_2 = e2)
% 253.60/49.79 | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 253.60/49.79 | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | (10107) all_54_0 = e3
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | COMBINE_EQS: (282), (10107) imply:
% 253.60/49.79 | | | | | | | | | | | | | | | (10108) all_10_2 = e3
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | SIMP: (10108) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | (10109) all_10_2 = e3
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | REDUCE: (348), (10109) imply:
% 253.60/49.79 | | | | | | | | | | | | | | | (10110) ~ (all_52_8 = e3)
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | REDUCE: (45), (10109) imply:
% 253.60/49.79 | | | | | | | | | | | | | | | (10111) op(e3, e3) = e3
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 253.60/49.79 | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | (10112) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 253.60/49.79 | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 253.60/49.79 | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (9923), (10110), (10112),
% 253.60/49.79 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.79 | | | | | | | | | | | | | | | | #709.
% 253.60/49.79 | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | (10113) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 253.60/49.79 | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 253.60/49.79 | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | BETA: splitting (10113) gives:
% 253.60/49.79 | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.79 | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | (10114) all_56_8 = e3 & op(e1, e1) = e3
% 253.60/49.79 | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (10114), (function-axioms) are
% 253.60/49.79 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 253.60/49.79 | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.79 | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | (10115) all_56_14 = e3 & op(e0, e1) = e3
% 253.60/49.79 | | | | | | | | | | | | | | | | |
% 253.60/49.79 | | | | | | | | | | | | | | | | | ALPHA: (10115) implies:
% 253.60/49.79 | | | | | | | | | | | | | | | | | (10116) all_56_14 = e3
% 253.60/49.80 | | | | | | | | | | | | | | | | | (10117) op(e0, e1) = e3
% 253.60/49.80 | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (85),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (94), (112), (121), (125), (126), (128), (135),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (157),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (168),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (169), (170), (191), (192), (194), (196), (213),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (214), (216), (217), (218), (220), (222), (226),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (227), (228), (229), (231), (233), (234), (236),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (241), (251), (252), (262), (306), (338), (352),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (363), (370), (376), (9918), (9920), (9921),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (9928), (9929), (9936), (10085), (10087), (10088),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (10089), (10092), (10093), (10104), (10111),
% 253.60/49.80 | | | | | | | | | | | | | | | | | (10116), (10117), (function-axioms) are
% 253.60/49.80 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #675.
% 253.60/49.80 | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | End of split
% 253.60/49.80 | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | End of split
% 253.60/49.80 | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | Case 2:
% 253.60/49.80 | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | (10118) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 253.60/49.80 | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | REF_CLOSE: (282), (9930), (9934), (10106), (10118) are
% 253.60/49.80 | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 253.60/49.80 | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | End of split
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | Case 2:
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | (10119) all_24_2 = e2
% 253.60/49.80 | | | | | | | | | | | | | | (10120) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 253.60/49.80 | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 253.60/49.80 | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 253.60/49.80 | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | COMBINE_EQS: (323), (10119) imply:
% 253.60/49.80 | | | | | | | | | | | | | | (10121) all_10_2 = e2
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | SIMP: (10121) implies:
% 253.60/49.80 | | | | | | | | | | | | | | (10122) all_10_2 = e2
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | COMBINE_EQS: (316), (10122) imply:
% 253.60/49.80 | | | | | | | | | | | | | | (10123) all_32_2 = e2
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | REDUCE: (340), (10122) imply:
% 253.60/49.80 | | | | | | | | | | | | | | (10124) ~ (all_52_1 = e2)
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | REDUCE: (344), (10122) imply:
% 253.60/49.80 | | | | | | | | | | | | | | (10125) ~ (all_52_3 = e2)
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | REDUCE: (346), (10122) imply:
% 253.60/49.80 | | | | | | | | | | | | | | (10126) ~ (all_52_4 = e2)
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | REDUCE: (348), (10122) imply:
% 253.60/49.80 | | | | | | | | | | | | | | (10127) ~ (all_52_8 = e2)
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | REDUCE: (350), (10122) imply:
% 253.60/49.80 | | | | | | | | | | | | | | (10128) ~ (all_52_12 = e2)
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | REDUCE: (45), (10122) imply:
% 253.60/49.80 | | | | | | | | | | | | | | (10129) op(e3, e3) = e2
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 253.60/49.80 | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | (10130) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 253.60/49.80 | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 253.60/49.80 | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | BETA: splitting (10130) gives:
% 253.60/49.80 | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | (10131) all_56_0 = e2 & op(e3, e3) = e2
% 253.60/49.80 | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | ALPHA: (10131) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | (10132) all_56_0 = e2
% 253.60/49.80 | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | (10133) ~ (all_32_2 = e2)
% 253.60/49.80 | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | REDUCE: (10123), (10133) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | (10134) $false
% 253.60/49.80 | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | CLOSE: (10134) is inconsistent.
% 253.60/49.80 | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.80 | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | (10135) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 253.60/49.80 | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 253.60/49.80 | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 253.60/49.80 | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | (10136) ~ (all_36_2 = e2)
% 253.60/49.80 | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | REDUCE: (306), (10136) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | (10137) ~ (all_6_2 = e2)
% 253.60/49.80 | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | (10138) all_54_10 = e3
% 253.60/49.80 | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (10138) are inconsistent by
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | sub-proof #3450.
% 253.60/49.80 | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | (10139) ~ (all_54_10 = e3)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | (10140) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (10140) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | (10141) all_54_10 = e2
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (10137), (10141) are inconsistent by
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | sub-proof #3449.
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | (10142) ~ (all_54_10 = e2)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | (10143) all_54_10 = e1 | all_54_10 = e0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10143) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | (10144) all_54_10 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (10144) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | (10145) all_6_2 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | SIMP: (10145) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | (10146) all_6_2 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (10146) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | (10147) ~ (all_52_2 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (10146) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | (10148) ~ (all_52_6 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (10146) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | (10149) ~ (all_52_9 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | (10150) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10150) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | (10151) all_56_2 = e1 & op(e2, e3) = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10151) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | (10152) all_56_2 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | (10153) op(e2, e3) = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | (10154) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (10147), (10148), (10154),
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | #3059.
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | (10155) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10155) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | (10156) all_56_8 = e1 & op(e1, e1) = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10156) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | (10157) all_56_8 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | (10158) op(e1, e1) = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (10159) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10159) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10160) all_56_1 = e1 & op(e3, e2) = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10160) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10161) all_56_1 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10162) op(e3, e2) = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (10153) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10163) all_52_1 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (10162) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10164) all_52_4 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (10163) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10165) ~ (all_52_2 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (10163) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10166) ~ (all_52_9 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (10164) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10167) ~ (all_52_6 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (10164) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10168) ~ (all_52_8 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10168) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10169) ~ (all_52_8 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10170) ~ (all_42_2 = e3)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9918), (10170) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10171) $false
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10171) is inconsistent.
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10172) ( ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10135) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10173) ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0 &
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10173) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10174) ~ (all_32_0 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10175) op(e3, e2) = all_32_1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10176) op(e3, all_32_1) = all_32_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10120) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10177) ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0 &
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10177) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10178) ~ (all_24_0 = e0)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10179) op(e3, e2) = all_24_1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10180) op(e3, all_24_1) = all_24_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10172) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10181) ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0 &
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_42_1 & $i(all_42_0) &
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10181) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10182) ~ (all_42_0 = e0)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10183) op(e2, e3) = all_42_1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10184) op(e2, all_42_1) = all_42_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10185) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10186) op(e2, e3) = all_8_1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187) op(e2, all_8_1) = all_8_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_1,
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10153), (10183) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188) all_42_1 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e3, e2, simplifying with (10183),
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10186) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189) all_42_1 = all_8_1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (10162), (10175) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190) all_32_1 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e3, simplifying with (10175),
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10179) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191) all_32_1 = all_24_1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10188), (10189) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10192) all_8_1 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10192) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10193) all_8_1 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10190), (10191) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10194) all_24_1 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10194) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10195) all_24_1 = e1
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10176), (10190) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10196) op(e3, e1) = all_32_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10180), (10195) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197) op(e3, e1) = all_24_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10184), (10188) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198) op(e2, e1) = all_42_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10187), (10193) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10199) op(e2, e1) = all_8_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, e1, e2, simplifying with (165), (10199)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10200) all_52_9 = all_8_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e1, e2, simplifying with (165), (10198)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10201) all_52_9 = all_42_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e1, e3, simplifying with (169), (10197)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10202) all_52_8 = all_24_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0, e1, e3, simplifying with (169), (10196)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10203) all_52_8 = all_32_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10202), (10203) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10204) all_32_0 = all_24_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10200), (10201) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10205) all_42_0 = all_8_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10205) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10206) all_42_0 = all_8_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10200) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10207) all_54_6 = all_8_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (10202) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10208) all_54_2 = all_24_0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10202) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10209) ~ (all_52_12 = all_24_0)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10209) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10210) ~ (all_52_12 = all_24_0)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10127), (10202) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10211) ~ (all_24_0 = e2)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10200) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10212) ~ (all_52_13 = all_8_0)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10212) implies:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10213) ~ (all_52_13 = all_8_0)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9923), (10200) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10214) ~ (all_8_0 = e3)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10149), (10200) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10215) ~ (all_8_0 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10182), (10206) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10216) ~ (all_8_0 = e0)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10174), (10204) imply:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10217) ~ (all_24_0 = e1)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10218) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (162), (163), (214), (10093),
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10129), (10147), (10148), (10157), (10161),
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10218), (function-axioms) are inconsistent by
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #673.
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10219) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10219) gives:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10220) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (10178), (10197), (10208), (10211),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10217), (10220), (function-axioms) are
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #672.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10221) all_56_9 = e0 & op(e3, e0) = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10221) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10222) op(e3, e0) = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10223) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (9920), (10129), (10223),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #695.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10224) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10224) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10225) all_56_4 = e3 & op(e3, e1) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10225) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10226) all_56_4 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10227) all_54_6 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10207), (10214), (10227) are inconsistent by
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #671.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10228) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10229) all_54_2 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10208), (10229) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10230) all_24_0 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10230) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10231) all_24_0 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10210), (10231) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10232) ~ (all_52_12 = e3)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10197), (10231) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10233) op(e3, e1) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10234) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10234) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10235) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10235) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10236) all_56_4 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (236), (10132), (10161),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10232), (10236), (function-axioms) are
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10237) all_56_5 = e0 & op(e2, e1) = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10237) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10238) all_56_5 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10239) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10239) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10240) all_56_12 = e3 & op(e0, e3) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10240) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10241) all_56_12 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10242) op(e0, e3) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (163),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (214), (223), (229), (231), (9929),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093), (10129), (10147), (10148), (10152),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10157), (10207), (10213), (10215), (10216),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10228), (10238), (10241), (10242),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #665.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10243) all_56_13 = e3 & op(e0, e2) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10243) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10244) all_56_13 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10245) op(e0, e2) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (163),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (214), (222), (223), (224), (225),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (230), (232), (236), (9929),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093), (10124), (10129), (10132), (10147),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10148), (10157), (10161), (10226), (10232),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10238), (10244), (10245), (function-axioms) are
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #661.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10246) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (217), (218),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (229), (231), (235), (9929),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103), (10129), (10132), (10207), (10213),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10215), (10216), (10226), (10228), (10233),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10246), (function-axioms) are inconsistent by
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #658.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10247) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (160), (162),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (168), (207), (208), (209), (211),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (217), (218), (219), (221), (223),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (235), (236), (9924),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928), (9929), (10093), (10103), (10125),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10128), (10129), (10132), (10147), (10148),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152), (10157), (10161), (10207), (10213),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10215), (10216), (10222), (10226), (10228),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10232), (10233), (10247), (function-axioms) are
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #652.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10248) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10178), (10208), (10211), (10217), (10248) are
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3064.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10249) all_56_9 = e3 & op(e3, e0) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10249) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10250) op(e3, e0) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10222), (10250), (function-axioms) are
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #872.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10251) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10251) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10252) ~ (all_8_1 = e0)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10253) op(e2, e3) = all_8_1
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_1,
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10153), (10183) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10254) all_42_1 = e1
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e3, e2, simplifying with (10183),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10253) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10255) all_42_1 = all_8_1
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (10162), (10175) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10256) all_32_1 = e1
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e3, simplifying with (10175),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10179) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10257) all_32_1 = all_24_1
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10254), (10255) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10258) all_8_1 = e1
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10258) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10259) all_8_1 = e1
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10256), (10257) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10260) all_24_1 = e1
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10260) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10261) all_24_1 = e1
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10176), (10256) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10262) op(e3, e1) = all_32_0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10180), (10261) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10263) op(e3, e1) = all_24_0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10184), (10254) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10264) op(e2, e1) = all_42_0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e1, e2, simplifying with (165), (10264)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10265) all_52_9 = all_42_0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e1, e3, simplifying with (169), (10263)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10266) all_52_8 = all_24_0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0, e1, e3, simplifying with (169), (10262)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10267) all_52_8 = all_32_0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10266), (10267) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10268) all_32_0 = all_24_0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10268) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10269) all_32_0 = all_24_0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10265) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10270) all_54_6 = all_42_0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (10266) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10271) all_54_2 = all_24_0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10266) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10272) ~ (all_52_12 = all_24_0)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10272) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10273) ~ (all_52_12 = all_24_0)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10127), (10266) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10274) ~ (all_24_0 = e2)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10265) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10275) ~ (all_52_13 = all_42_0)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10275) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10276) ~ (all_52_13 = all_42_0)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9923), (10265) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10277) ~ (all_42_0 = e3)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10149), (10265) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10278) ~ (all_42_0 = e1)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10174), (10269) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10279) ~ (all_24_0 = e1)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10280) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (162), (163), (214), (10093),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10129), (10147), (10148), (10157), (10161),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10280), (function-axioms) are inconsistent by
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #673.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10281) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10281) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10282) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (10178), (10263), (10271), (10274),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10279), (10282), (function-axioms) are
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #672.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10283) all_56_9 = e0 & op(e3, e0) = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10283) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10284) op(e3, e0) = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10285) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (9920), (10129), (10285),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #695.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10286) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10286) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10287) all_56_4 = e3 & op(e3, e1) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10287) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10288) all_56_4 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10289) all_54_6 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10270), (10277), (10289) are inconsistent by
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #651.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10290) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10291) all_54_2 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10271), (10291) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10292) all_24_0 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10292) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10293) all_24_0 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10273), (10293) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10294) ~ (all_52_12 = e3)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10263), (10293) imply:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10295) op(e3, e1) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10296) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10296) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10297) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10297) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10298) all_56_4 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (236), (10132), (10161),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10294), (10298), (function-axioms) are
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10299) all_56_5 = e0 & op(e2, e1) = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10299) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10300) all_56_5 = e0
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10301) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10301) gives:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10302) all_56_12 = e3 & op(e0, e3) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10302) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10303) all_56_12 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10304) op(e0, e3) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (94), (164), (223),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (9918), (9929), (10129), (10182),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10252), (10253), (10270), (10276), (10278),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10290), (10300), (10303), (10304),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #644.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10305) all_56_13 = e3 & op(e0, e2) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10305) implies:
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10306) all_56_13 = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10307) op(e0, e2) = e3
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (163),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (214), (222), (223), (224), (225),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (230), (232), (236), (9929),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093), (10124), (10129), (10132), (10147),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10148), (10157), (10161), (10288), (10294),
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10300), (10306), (10307), (function-axioms) are
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #661.
% 253.60/49.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10308) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (217), (218),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (229), (231), (235), (9929),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103), (10129), (10132), (10182), (10270),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10276), (10278), (10288), (10290), (10295),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10308), (function-axioms) are inconsistent by
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #643.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10309) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (94), (159),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (168), (207), (208),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (219),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (229), (230), (231), (232), (236), (376),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918), (9924), (9928), (10093), (10103), (10125),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10128), (10129), (10132), (10147), (10148),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10158), (10161), (10252), (10253), (10284),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10288), (10294), (10309), (function-axioms) are
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #642.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10310) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10178), (10271), (10274), (10279), (10310) are
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3064.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10311) all_56_9 = e3 & op(e3, e0) = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10311) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10312) op(e3, e0) = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10284), (10312), (function-axioms) are
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #872.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10313) ~ (all_42_1 = e1) & op(e2, e3) = all_42_1 &
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10313) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10314) ~ (all_42_1 = e1)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10315) op(e2, e3) = all_42_1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9917), (10153), (10314), (10315),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #640.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10316) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10135), (10162), (10316), (function-axioms) are
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3062.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10317) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10317) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10318) ~ (all_32_1 = e0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10319) op(e3, e2) = all_32_1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10120) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10320) ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0 &
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10320) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10321) ~ (all_24_0 = e0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10322) op(e3, e2) = all_24_1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10323) op(e3, all_24_1) = all_24_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10172) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10324) ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0 &
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_42_1 & $i(all_42_0) &
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10324) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10325) ~ (all_42_0 = e0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10326) op(e2, e3) = all_42_1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10327) op(e2, all_42_1) = all_42_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10328) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10328) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10329) op(e2, e3) = all_8_1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10330) op(e2, all_8_1) = all_8_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_1,
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10153), (10326) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10331) all_42_1 = e1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e3, e2, simplifying with (10326),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10329) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10332) all_42_1 = all_8_1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (10162), (10319) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10333) all_32_1 = e1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e3, simplifying with (10319),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10322) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10334) all_32_1 = all_24_1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10331), (10332) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10335) all_8_1 = e1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10335) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10336) all_8_1 = e1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10333), (10334) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10337) all_24_1 = e1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10337) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10338) all_24_1 = e1
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10323), (10338) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10339) op(e3, e1) = all_24_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10327), (10331) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10340) op(e2, e1) = all_42_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10330), (10336) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10341) op(e2, e1) = all_8_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, e1, e2, simplifying with (165), (10341)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10342) all_52_9 = all_8_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e1, e2, simplifying with (165), (10340)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10343) all_52_9 = all_42_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e1, e3, simplifying with (169), (10339)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10344) all_52_8 = all_24_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10342), (10343) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10345) all_42_0 = all_8_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10345) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10346) all_42_0 = all_8_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10342) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10347) all_54_6 = all_8_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (10344) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10348) all_54_2 = all_24_0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10344) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10349) ~ (all_52_12 = all_24_0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10349) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10350) ~ (all_52_12 = all_24_0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10127), (10344) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10351) ~ (all_24_0 = e2)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10169), (10344) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10352) ~ (all_24_0 = e1)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10342) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10353) ~ (all_52_13 = all_8_0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10353) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10354) ~ (all_52_13 = all_8_0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9923), (10342) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10355) ~ (all_8_0 = e3)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10149), (10342) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10356) ~ (all_8_0 = e1)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10325), (10346) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10357) ~ (all_8_0 = e0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10358) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10129), (10318), (10319), (10322), (10358),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #639.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10359) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10359) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10360) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (10321), (10339), (10348), (10351),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10352), (10360), (function-axioms) are
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #672.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10361) all_56_9 = e0 & op(e3, e0) = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10361) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10362) op(e3, e0) = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10363) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (9920), (10129), (10363),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #695.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10364) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10364) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10365) all_56_4 = e3 & op(e3, e1) = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10365) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10366) all_56_4 = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10367) all_54_6 = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10347), (10355), (10367) are inconsistent by
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #671.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10368) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10369) all_54_2 = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10348), (10369) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10370) all_24_0 = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10370) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10371) all_24_0 = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10350), (10371) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10372) ~ (all_52_12 = e3)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10339), (10371) imply:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10373) op(e3, e1) = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10374) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10374) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10375) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10375) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10376) all_56_4 = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (236), (10132), (10161),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10372), (10376), (function-axioms) are
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10377) all_56_5 = e0 & op(e2, e1) = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10377) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10378) all_56_5 = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10379) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10379) gives:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10380) all_56_12 = e3 & op(e0, e3) = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10380) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10381) all_56_12 = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10382) op(e0, e3) = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (163),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (214), (223), (229), (231), (9929),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093), (10129), (10147), (10148), (10152),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10157), (10347), (10354), (10356), (10357),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10368), (10378), (10381), (10382),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #665.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10383) all_56_13 = e3 & op(e0, e2) = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10383) implies:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10384) all_56_13 = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10385) op(e0, e2) = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (168), (222),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (230), (232),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (9929), (10124), (10129), (10132), (10161),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10318), (10319), (10322), (10366), (10372),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10378), (10384), (10385), (function-axioms) are
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #638.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10386) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (217), (218),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (229), (231), (235), (9929),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103), (10129), (10132), (10347), (10354),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10356), (10357), (10366), (10368), (10373),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10386), (function-axioms) are inconsistent by
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #658.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10387) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (160), (162),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (168), (207), (208), (209), (211),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (217), (218), (219), (221), (223),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (235), (236), (9924),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928), (9929), (10093), (10103), (10125),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10128), (10129), (10132), (10147), (10148),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152), (10157), (10161), (10347), (10354),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10356), (10357), (10362), (10366), (10368),
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10372), (10373), (10387), (function-axioms) are
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #652.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10388) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10321), (10348), (10351), (10352), (10388) are
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3064.
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10389) all_56_9 = e3 & op(e3, e0) = e3
% 253.60/49.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10389) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10390) op(e3, e0) = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10362), (10390), (function-axioms) are
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #872.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10391) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10391) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10392) ~ (all_8_1 = e0)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10393) op(e2, e3) = all_8_1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_1,
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10153), (10326) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10394) all_42_1 = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e3, e2, simplifying with (10326),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10393) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10395) all_42_1 = all_8_1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (10162), (10319) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10396) all_32_1 = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e3, simplifying with (10319),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10322) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10397) all_32_1 = all_24_1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10394), (10395) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10398) all_8_1 = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10398) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10399) all_8_1 = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10396), (10397) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10400) all_24_1 = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10400) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10401) all_24_1 = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10323), (10401) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10402) op(e3, e1) = all_24_0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10327), (10394) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10403) op(e2, e1) = all_42_0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e1, e2, simplifying with (165), (10403)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10404) all_52_9 = all_42_0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e1, e3, simplifying with (169), (10402)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10405) all_52_8 = all_24_0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10404) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10406) all_54_6 = all_42_0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (10405) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10407) all_54_2 = all_24_0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10405) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10408) ~ (all_52_12 = all_24_0)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10408) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10409) ~ (all_52_12 = all_24_0)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10127), (10405) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10410) ~ (all_24_0 = e2)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10169), (10405) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10411) ~ (all_24_0 = e1)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10404) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10412) ~ (all_52_13 = all_42_0)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10412) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10413) ~ (all_52_13 = all_42_0)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9923), (10404) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10414) ~ (all_42_0 = e3)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10149), (10404) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10415) ~ (all_42_0 = e1)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10416) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10129), (10318), (10319), (10322), (10416),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #639.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10417) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10417) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10418) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (10321), (10402), (10407), (10410),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10411), (10418), (function-axioms) are
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #672.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10419) all_56_9 = e0 & op(e3, e0) = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10419) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10420) op(e3, e0) = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10421) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (9920), (10129), (10421),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #695.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10422) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10422) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10423) all_56_4 = e3 & op(e3, e1) = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10423) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424) all_56_4 = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10425) all_54_6 = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10406), (10414), (10425) are inconsistent by
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #651.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10426) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427) all_54_2 = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10407), (10427) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10428) all_24_0 = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10428) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10429) all_24_0 = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (10429) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10430) ~ (all_52_12 = e3)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10402), (10429) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10431) op(e3, e1) = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10432) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10432) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10433) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10433) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10434) all_56_4 = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (236), (10132), (10161),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10430), (10434), (function-axioms) are
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10435) all_56_5 = e0 & op(e2, e1) = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10435) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436) all_56_5 = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10437) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10437) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438) all_56_12 = e3 & op(e0, e3) = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10438) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10439) all_56_12 = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10440) op(e0, e3) = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (94), (164), (223),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (9918), (9929), (10129), (10325),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10392), (10393), (10406), (10413), (10415),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10426), (10436), (10439), (10440),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #644.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10441) all_56_13 = e3 & op(e0, e2) = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10441) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10442) all_56_13 = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10443) op(e0, e2) = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (168), (222),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (230), (232),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (9929), (10124), (10129), (10132), (10161),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10318), (10319), (10322), (10424), (10430),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436), (10442), (10443), (function-axioms) are
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #638.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10444) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (217), (218),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (229), (231), (235), (9929),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103), (10129), (10132), (10325), (10406),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10413), (10415), (10424), (10426), (10431),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10444), (function-axioms) are inconsistent by
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #643.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10445) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (94), (159),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (168), (207), (208),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (219),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (229), (230), (231), (232), (236), (376),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918), (9924), (9928), (10093), (10103), (10125),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10128), (10129), (10132), (10147), (10148),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10158), (10161), (10392), (10393), (10420),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424), (10430), (10445), (function-axioms) are
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #642.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10446) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10321), (10407), (10410), (10411), (10446) are
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3064.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447) all_56_9 = e3 & op(e3, e0) = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10447) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10448) op(e3, e0) = e3
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10420), (10448), (function-axioms) are
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #872.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10449) ~ (all_42_1 = e1) & op(e2, e3) = all_42_1 &
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10449) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10450) ~ (all_42_1 = e1)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10451) op(e2, e3) = all_42_1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9917), (10153), (10450), (10451),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #640.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10452) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10135), (10162), (10452), (function-axioms) are
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3062.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10453) all_56_3 = e1 & op(e2, e2) = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10453) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10454) all_56_3 = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10455) op(e2, e2) = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (10152), (10153), (10454), (10455),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | #3361.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (10456) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (10089), (10148), (10456),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | | #3080.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | (10457) all_56_11 = e1 & op(e1, e0) = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10457) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | (10458) op(e1, e0) = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10093), (10458), (function-axioms) are
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | (10459) all_56_3 = e1 & op(e2, e2) = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10459) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | (10460) op(e2, e2) = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (10460), (function-axioms) are
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | (10461) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (10092), (10149), (10461),
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | #637.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | (10462) all_54_10 = e0
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (9936), (10462) are inconsistent by
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.83 | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | (10463) all_36_2 = e2
% 253.60/49.83 | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (10463) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | (10464) all_6_2 = e2
% 253.60/49.83 | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | REDUCE: (352), (10464) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | (10465) ~ (all_52_2 = e2)
% 253.60/49.83 | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | REDUCE: (366), (10464) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | (10466) ~ (all_52_9 = e2)
% 253.60/49.83 | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | REDUCE: (368), (10464) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | (10467) ~ (all_52_11 = e2)
% 253.60/49.83 | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | REDUCE: (376), (10464) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | (10468) ~ (e3 = e2)
% 253.60/49.83 | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | REDUCE: (39), (10464) imply:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | (10469) op(e1, e1) = e2
% 253.60/49.83 | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | (10470) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (10470) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | (10471) all_56_1 = e2 & op(e3, e2) = e2
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | ALPHA: (10471) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | (10472) all_56_1 = e2
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | (10473) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10129), (10472), (10473), (function-axioms)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2492.
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | (10474) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10474) gives:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | (10475) all_56_4 = e1 & op(e3, e1) = e1
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10475) implies:
% 253.60/49.83 | | | | | | | | | | | | | | | | | | | | | | (10476) all_56_4 = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | (10477) op(e3, e1) = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | (10478) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10478) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | (10479) all_56_9 = e2 & op(e3, e0) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10128), (10479), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | (10480) all_56_10 = e2 & op(e2, e0) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10480) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | (10481) all_56_10 = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | (10482) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (9923), (10477), (10482),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | #636.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | (10483) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10483) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (10484) all_56_8 = e3 & op(e1, e1) = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (10484), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (10485) all_56_14 = e3 & op(e0, e1) = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10485) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (10486) all_56_14 = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10487) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9929), (10472), (10487),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | #635.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10488) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10489) all_56_7 = e1 & op(e1, e2) = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10489) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10490) all_56_7 = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10491) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10476), (10492) are inconsistent by
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2981.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10493) all_56_5 = e0 & op(e2, e1) = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10493) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10494) all_56_5 = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10495) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10496) all_56_12 = e2 & op(e0, e3) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10125), (10496), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10497) all_56_13 = e2 & op(e0, e2) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10497) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10498) op(e0, e2) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10499) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10499) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10500) all_56_2 = e1 & op(e2, e3) = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10500) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10501) all_56_2 = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10502) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10502) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10503) all_56_1 = e0 & op(e3, e2) = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10472), (10503) are inconsistent by
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3402.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504) all_56_3 = e0 & op(e2, e2) = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10504) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10505) all_56_3 = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (10481), (10494), (10501),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10505) are inconsistent by sub-proof #3324.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10506) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10506) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10507) all_56_7 = e0 & op(e1, e2) = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10490), (10507) are inconsistent by
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #634.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10508) all_56_13 = e0 & op(e0, e2) = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10508) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10509) op(e0, e2) = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10498), (10509), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10510) all_56_3 = e1 & op(e2, e2) = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10510) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10511) op(e2, e2) = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (10511), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10512) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10512) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10513) all_56_5 = e1 & op(e2, e1) = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10513) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10514) all_56_5 = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10494), (10514) are inconsistent by
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3323.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10515) all_56_10 = e1 & op(e2, e0) = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10092), (10515), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10516) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10516) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10517) all_56_14 = e2 & op(e0, e1) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10517) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10518) all_56_14 = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (218), (220),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (10469), (10494), (10518),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3099.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10519) all_56_15 = e2 & op(e0, e0) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10519) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10520) all_56_15 = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10103), (10520) are inconsistent by
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3014.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10521) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10521) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10522) all_56_8 = e0 & op(e1, e1) = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10522) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10523) op(e1, e1) = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10469), (10523), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10524) all_56_14 = e0 & op(e0, e1) = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10524) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10525) all_56_14 = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10486), (10525) imply:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10526) e3 = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10526) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10527) e3 = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9928), (10527) imply:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10528) all_56_3 = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10529) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10529) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10530) all_56_12 = e2 & op(e0, e3) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10530) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10531) all_56_12 = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (235), (10129), (10132), (10481),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10528), (10531), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2058.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10532) all_56_13 = e2 & op(e0, e2) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10532) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10533) all_56_13 = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (10472),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10528), (10533) are inconsistent by sub-proof
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2990.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10534) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (10103), (10469), (10534),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #891.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10535) all_56_13 = e1 & op(e0, e2) = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10535) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10536) op(e0, e2) = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10089), (10536), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3152.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | (10537) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | (216), (376), (10103), (10469), (10537),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | #889.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | (10538) all_56_9 = e1 & op(e3, e0) = e1
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10091), (10538), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | (10539) all_56_3 = e2 & op(e2, e2) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (10539) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | (10540) op(e2, e2) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (10540), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.84 | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | (10541) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (10541) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | (10542) all_56_7 = e2 & op(e1, e2) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (10542) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | (10543) all_56_7 = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | (216), (376), (10469), (10543), (function-axioms)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3082.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | (10544) all_56_13 = e2 & op(e0, e2) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (10544) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | (10545) all_56_13 = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | (10546) op(e0, e2) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | (10547) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10547) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | (10548) all_56_9 = e2 & op(e3, e0) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10128), (10548), (function-axioms) are
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | (10549) all_56_10 = e2 & op(e2, e0) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10549) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | (10550) all_56_10 = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | (10551) op(e2, e0) = e2
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | (10552) ~ (all_42_2 = e3)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9918), (10552) imply:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | (10553) $false
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10553) is inconsistent.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | (10554) ( ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | (10555) all_54_4 = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (9919), (10555) are inconsistent by
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3359.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | (10556) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | (10557) all_54_12 = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (10557) imply:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | (10558) all_52_3 = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10558) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | (10559) all_52_3 = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (10559) imply:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | (10560) ~ (all_52_2 = e3)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (10559) imply:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | (10561) ~ (all_52_11 = e3)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10561) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | (10562) ~ (all_52_11 = e3)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (10559) imply:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | (10563) op(e0, e3) = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (10564) all_54_14 = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (10562), (10564) are inconsistent by
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3151.
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (10565) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10566) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10566) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10567) all_56_12 = e3 & op(e0, e3) = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10567) implies:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10568) all_56_12 = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10569) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10569) gives:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10570) all_56_4 = e3 & op(e3, e1) = e3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10570) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10571) op(e3, e1) = e3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10572) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10572) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10573) all_56_0 = e1 & op(e3, e3) = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10573) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10574) op(e3, e3) = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10129), (10574), (function-axioms) are
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10575) all_56_1 = e1 & op(e3, e2) = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10575) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10576) all_56_1 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10577) op(e3, e2) = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10578) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (10129), (10576), (10578),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #911.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10579) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10579) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10580) all_56_4 = e0 & op(e3, e1) = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10580) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10581) op(e3, e1) = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10571), (10581), (function-axioms) are
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2333.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10582) all_56_9 = e0 & op(e3, e0) = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10582) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10583) op(e3, e0) = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10584) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10584) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10585) all_56_2 = e0 & op(e2, e3) = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10585) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10586) all_56_2 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10587) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10587) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10588) all_56_0 = e1 & op(e3, e3) = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10588) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10589) op(e3, e3) = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10129), (10589), (function-axioms) are
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10590) all_56_2 = e1 & op(e2, e3) = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10590) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10591) all_56_2 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (118), (165), (221), (250), (9928),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10090), (10467), (10551), (10565), (10591),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #630.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10592) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10592) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10593) all_56_6 = e1 & op(e1, e3) = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10593) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10594) all_56_6 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10595) op(e1, e3) = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10596) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10596) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10597) all_56_1 = e0 & op(e3, e2) = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10597) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10598) all_56_1 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10576), (10598) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10599) e1 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10594), (10599) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10600) all_56_6 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (10129), (10568), (10586),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10600), (function-axioms) are inconsistent by
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3146.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10601) all_56_3 = e0 & op(e2, e2) = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10601) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10602) all_56_3 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (10550),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10586), (10602) are inconsistent by sub-proof
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3370.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10603) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10604) all_56_7 = e0 & op(e1, e2) = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10604) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10605) op(e1, e2) = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10565) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10606) all_54_14 = e2
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (10606) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10607) all_52_11 = e2
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10467), (10607) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10608) $false
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10608) is inconsistent.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10609) all_54_14 = e1 | all_54_14 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10609) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10610) all_54_14 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (10610) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10611) all_52_11 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10090), (10611) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10612) $false
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10612) is inconsistent.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10613) all_54_14 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (10613) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10614) all_52_11 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (10614) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10615) ~ (all_52_8 = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (10614) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10616) ~ (all_52_9 = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10617) all_54_6 = e3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9923), (10617) are inconsistent by
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2704.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10618) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10618) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10619) all_54_6 = e2
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (10466), (10619) are inconsistent by
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3130.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10620) ~ (all_54_6 = e2)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10621) all_54_6 = e1 | all_54_6 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10621) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10622) all_54_6 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10622) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10623) all_52_9 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10623) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10624) all_52_9 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (10624) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10625) ~ (all_52_1 = e1)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (10624) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10626) ~ (all_52_8 = e1)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (10624) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10627) op(e2, e1) = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10556) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10628) all_54_4 = e2
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10124), (10628) are inconsistent by
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3355.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10629) ~ (all_54_4 = e2)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10630) all_54_4 = e1 | all_54_4 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10630) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10631) all_54_4 = e1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10625), (10631) are inconsistent by
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3354.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10632) all_54_4 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10632) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10633) all_52_1 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10633) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10634) all_52_1 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (10634) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10635) ~ (all_52_2 = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10635) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10636) ~ (all_52_2 = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10124), (10634) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10637) ~ (e2 = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (10634) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638) op(e2, e3) = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10639) all_54_2 = e3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (10639) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10640) all_52_8 = e3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10640) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10641) all_52_8 = e3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10641) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10642) ~ (all_52_12 = e3)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10642) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10643) ~ (all_52_12 = e3)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10644) (all_57_0 = all_57_1 & op(all_57_1, e3) = all_57_1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_1 & $i(all_57_1)) |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = all_57_3 & op(all_57_3, e2) = all_57_3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_3 & $i(all_57_3))
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10644) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10645) all_57_0 = all_57_1 & op(all_57_1, e3) = all_57_1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_1 & $i(all_57_1)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10120), (10124), (10129), (10135),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10577), (10645), (function-axioms) are
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2294.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10646) all_57_2 = all_57_3 & op(all_57_3, e2) = all_57_3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_3 & $i(all_57_3)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10646) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10647) op(e2, e3) = all_57_3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10648) op(all_57_3, e2) = all_57_3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10649) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10649) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10650) op(e2, e3) = all_8_1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10651) all_54_8 = e3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (10560), (10651) are inconsistent by
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2703.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10652) ~ (all_54_8 = e3)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10653) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10653) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10654) all_54_8 = e2
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (10465), (10654) are inconsistent by
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2699.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10655) ~ (all_54_8 = e2)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10656) all_54_8 = e1 | all_54_8 = e0
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10554) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10657) ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0 &
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_42_1 & $i(all_42_0) &
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10657) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10658) op(e2, e3) = all_42_1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (39), (141), (143), (160), (162),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (208), (217), (218), (220), (241), (262),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (10103), (10104), (10129), (10465),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466), (10469), (10546), (10560), (10563),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10583), (10605), (10627), (10636), (10638),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10647), (10648), (10650), (10656), (10658),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #628.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10659) ~ (all_42_1 = e1) & op(e2, e3) = all_42_1 &
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10659) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10660) op(e2, e3) = all_42_1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (39), (141), (143), (160), (162),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (208), (217), (218), (220), (241), (262),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (10103), (10104), (10129), (10465),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466), (10469), (10546), (10560), (10563),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10583), (10605), (10627), (10636), (10638),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10647), (10648), (10650), (10656), (10660),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #628.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10661) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10661) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10662) ~ (all_8_1 = e0)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10663) op(e2, e3) = all_8_1
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10554), (10638), (10662), (10663),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664) (all_57_4 = all_57_5 & op(all_57_5, e1) = all_57_5
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_5 & $i(all_57_5)) |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = all_57_7 & op(all_57_7, e0) = all_57_7
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & $i(all_57_7))
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10664) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665) all_57_4 = all_57_5 & op(all_57_5, e1) = all_57_5
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_5 & $i(all_57_5)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10120), (10135), (10469), (10577), (10595),
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665), (function-axioms) are inconsistent by
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2292.
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10666) all_57_6 = all_57_7 & op(all_57_7, e0) = all_57_7
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & $i(all_57_7)
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10666) implies:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667) op(e0, e3) = all_57_7
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10668) op(all_57_7, e0) = all_57_7
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10120) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_57_7,
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (10563), (10667) gives:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10669) all_57_7 = e3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10668), (10669) imply:
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10670) op(e3, e0) = e3
% 253.60/49.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10643), (10670), (function-axioms) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10671) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10135), (10577), (10671), (function-axioms) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3062.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10672) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (10127), (10615), (10626), (10672) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2431.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10673) all_54_6 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (10616), (10673) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3128.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10674) all_56_13 = e0 & op(e0, e2) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10674) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10675) op(e0, e2) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10546), (10675), (function-axioms) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10676) all_56_12 = e1 & op(e0, e3) = e1
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10088), (10676), (function-axioms) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3077.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10677) all_56_3 = e0 & op(e2, e2) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9928), (10677) are inconsistent by sub-proof
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1471.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10678) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10678) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10679) all_56_5 = e0 & op(e2, e1) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10679) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680) op(e2, e1) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (250), (10090), (10467), (10565),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680), (function-axioms) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10681) all_56_10 = e0 & op(e2, e0) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10681) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682) op(e2, e0) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10551), (10682), (function-axioms) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10683) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (10091), (10571), (10683),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2195.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684) all_56_5 = e3 & op(e2, e1) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9923), (10684), (function-axioms) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #710.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10685) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10685) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10686) all_56_8 = e3 & op(e1, e1) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (10686), (function-axioms) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687) all_56_14 = e3 & op(e0, e1) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10687) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688) all_56_14 = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (10103), (10546), (10563),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688), (function-axioms) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #694.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10689) all_56_13 = e3 & op(e0, e2) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10545), (10689) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3357.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10690) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10690) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10691) all_56_14 = e3 & op(e0, e1) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10691) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10692) all_56_14 = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (10103), (10546), (10563),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10692), (function-axioms) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #694.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10693) all_56_15 = e3 & op(e0, e0) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10103), (10693) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2736.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | (10694) ~ (all_54_12 = e3)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | (10695) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (252), (10694) imply:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | (10696) ~ (all_52_3 = e3)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10695) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (10697) all_54_12 = e2
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (10125), (10697) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3123.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (10698) ~ (all_54_12 = e2)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (10699) all_54_12 = e1 | all_54_12 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10700) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10700) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10701) all_56_12 = e3 & op(e0, e3) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10701) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10702) op(e0, e3) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10699) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10703) all_54_12 = e1
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (10088), (10703) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10704) all_54_12 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (10704) imply:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10705) all_52_3 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10705) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10706) all_52_3 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10696), (10706) imply:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10707) ~ (e3 = e0)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (10706) imply:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10708) op(e0, e3) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10702), (10708), (function-axioms) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #884.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10709) all_56_13 = e3 & op(e0, e2) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10545), (10709) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3357.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10710) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10710) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10711) all_56_14 = e3 & op(e0, e1) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10711) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10712) all_56_14 = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10713) op(e0, e1) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10714) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10714) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10715) all_56_0 = e3 & op(e3, e3) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10715) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10716) op(e3, e3) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (85),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (112), (121), (125), (126), (128), (135),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (141), (143), (144), (157),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (168),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (191), (192), (194), (196), (213),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (217), (218), (220), (222), (226),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (231), (233), (234), (236),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (251), (252), (262), (306), (338), (352),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (370), (376), (9918), (9920), (9921),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928), (9929), (9936), (10085), (10087), (10088),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10089), (10092), (10093), (10104), (10712),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10713), (10716), (function-axioms) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #675.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10717) all_56_2 = e3 & op(e2, e3) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10717) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10718) all_56_2 = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (224),
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928), (10550), (10718) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2445.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10719) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10719) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10720) all_56_6 = e3 & op(e1, e3) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10720) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10721) op(e1, e3) = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10699) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10722) all_54_12 = e1
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (10088), (10722) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10723) all_54_12 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (10723) imply:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10724) all_52_3 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10724) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10725) all_52_3 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10725) imply:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10726) ~ (all_52_1 = e0)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10696), (10725) imply:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10727) ~ (e3 = e0)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10125), (10725) imply:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10728) ~ (e2 = e0)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10088), (10725) imply:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10729) ~ (e1 = e0)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10730) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10730) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10731) all_56_2 = e0 & op(e2, e3) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10731) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10732) op(e2, e3) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10726), (10732), (function-axioms) are
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #780.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10733) all_56_3 = e0 & op(e2, e2) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10733) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10734) all_56_3 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9928), (10734) are inconsistent by sub-proof
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3373.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10735) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10735) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10736) all_56_5 = e0 & op(e2, e1) = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10736) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10737) all_56_5 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10738) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10738) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10739) all_56_4 = e1 & op(e3, e1) = e1
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10739) implies:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10740) op(e3, e1) = e1
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10556) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10741) all_54_4 = e2
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10124), (10741) are inconsistent by
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3355.
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10742) all_54_4 = e1 | all_54_4 = e0
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10743) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10743) gives:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10744) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10744) gives:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10745) all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9929), (10745), (function-axioms) are
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #703.
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10746) all_57_5 = e1 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_21 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_25 = e0) & op(e3, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e1, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_21 & $i(all_57_1) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_21) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10746) implies:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10747) op(e1, e3) = e1
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (272), (10726), (10742), (10747),
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2286.
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10748) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10129), (10469), (10748), (function-axioms) are
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2326.
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10749) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10749) gives:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10750) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10466), (10721), (10750),
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2111.
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10751) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10751) gives:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10752) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10752) implies:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10753) ~ (all_57_15 = e2)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10754) op(e0, e2) = all_57_15
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10546), (10753), (10754), (function-axioms) are
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2913.
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10755) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10755) gives:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10756) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 253.60/49.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10756) implies:
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10757) ~ (all_57_15 = e2)
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10758) op(e0, e2) = all_57_15
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10546), (10757), (10758), (function-axioms) are
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2913.
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10759) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 253.60/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10759) implies:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10760) op(e0, e0) = all_57_31
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10761) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (10093), (10104), (10546), (10740),
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10760), (10761), (function-axioms) are
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2879.
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10762) all_56_5 = e1 & op(e2, e1) = e1
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10762) implies:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10763) all_56_5 = e1
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10737), (10763) are inconsistent by
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3323.
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10764) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (10090), (10469), (10764),
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2283.
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10765) all_56_10 = e0 & op(e2, e0) = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10765) implies:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766) op(e2, e0) = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10551), (10766), (function-axioms) are
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10767) all_56_12 = e3 & op(e0, e3) = e3
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10767) implies:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10768) all_56_12 = e3
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10769) op(e0, e3) = e3
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10770) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10770) gives:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10771) all_56_12 = e2 & op(e0, e3) = e2
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10768), (10771) are inconsistent by
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3241.
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (10103), (10546), (10712),
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10769), (function-axioms) are inconsistent by
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #694.
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10772) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10103), (10712), (10772) are
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2713.
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10773) all_56_15 = e3 & op(e0, e0) = e3
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10103), (10773) are inconsistent by
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2736.
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | (10774) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | (216), (376), (10103), (10469), (10774),
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | #889.
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | (10775) all_56_1 = e2 & op(e3, e2) = e2
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | ALPHA: (10775) implies:
% 253.99/49.88 | | | | | | | | | | | | | | | | (10776) all_56_1 = e2
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 253.99/49.88 | | | | | | | | | | | | | | | | (236), (10091), (10129), (10776),
% 253.99/49.88 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.99/49.88 | | | | | | | | | | | | | | | | #626.
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | (10777) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 253.99/49.88 | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 253.99/49.88 | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 253.99/49.88 | | | | | | | | | | | | | | | (236), (10091), (10128), (10129), (10777),
% 253.99/49.88 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.99/49.88 | | | | | | | | | | | | | | | #625.
% 253.99/49.88 | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | End of split
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | (10778) all_18_2 = e0
% 253.99/49.88 | | | | | | | | | | (10779) ( ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0
% 253.99/49.88 | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 253.99/49.88 | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 253.99/49.88 | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | COMBINE_EQS: (328), (10778) imply:
% 253.99/49.88 | | | | | | | | | | (10780) all_6_2 = e0
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | COMBINE_EQS: (320), (10780) imply:
% 253.99/49.88 | | | | | | | | | | (10781) all_28_2 = e0
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | REDUCE: (352), (10780) imply:
% 253.99/49.88 | | | | | | | | | | (10782) ~ (all_52_2 = e0)
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | REDUCE: (363), (10780) imply:
% 253.99/49.88 | | | | | | | | | | (10783) ~ (all_52_6 = e0)
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | REDUCE: (365), (10780) imply:
% 253.99/49.88 | | | | | | | | | | (10784) ~ (all_52_8 = e0)
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | REDUCE: (366), (10780) imply:
% 253.99/49.88 | | | | | | | | | | (10785) ~ (all_52_9 = e0)
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | REDUCE: (368), (10780) imply:
% 253.99/49.88 | | | | | | | | | | (10786) ~ (all_52_11 = e0)
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | REDUCE: (370), (10780) imply:
% 253.99/49.88 | | | | | | | | | | (10787) ~ (all_52_14 = e0)
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | BETA: splitting (213) gives:
% 253.99/49.88 | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | (10788) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 253.99/49.88 | | | | | | | | | | | & op(e1, e2) = e0)
% 253.99/49.88 | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | REF_CLOSE: (162), (163), (10782), (10783), (10788),
% 253.99/49.88 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.99/49.88 | | | | | | | | | | | #2864.
% 253.99/49.88 | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | (10789) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 253.99/49.88 | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 253.99/49.88 | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | BETA: splitting (10789) gives:
% 253.99/49.88 | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | (10790) all_56_8 = e0 & op(e1, e1) = e0
% 253.99/49.88 | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | ALPHA: (10790) implies:
% 253.99/49.88 | | | | | | | | | | | | (10791) all_56_8 = e0
% 253.99/49.88 | | | | | | | | | | | | (10792) op(e1, e1) = e0
% 253.99/49.88 | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | BETA: splitting (61) gives:
% 253.99/49.88 | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | (10793) ~ (all_20_2 = e1)
% 253.99/49.88 | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | REDUCE: (322), (10793) imply:
% 253.99/49.88 | | | | | | | | | | | | | (10794) ~ (all_4_2 = e1)
% 253.99/49.88 | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 253.99/49.88 | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | (10795) all_54_15 = e3
% 253.99/49.88 | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | REF_CLOSE: (249), (9932), (10795) are inconsistent by
% 253.99/49.88 | | | | | | | | | | | | | | sub-proof #3475.
% 253.99/49.88 | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | (10796) ~ (all_54_15 = e3)
% 253.99/49.88 | | | | | | | | | | | | | | (10797) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 253.99/49.88 | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | BETA: splitting (10797) gives:
% 253.99/49.88 | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | (10798) all_54_15 = e2
% 253.99/49.88 | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (10798) are inconsistent by
% 253.99/49.88 | | | | | | | | | | | | | | | sub-proof #3474.
% 253.99/49.88 | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | (10799) ~ (all_54_15 = e2)
% 253.99/49.88 | | | | | | | | | | | | | | | (10800) all_54_15 = e1 | all_54_15 = e0
% 253.99/49.88 | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | BETA: splitting (10800) gives:
% 253.99/49.88 | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | (10801) all_54_15 = e1
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | REF_CLOSE: (249), (10794), (10801) are inconsistent by
% 253.99/49.88 | | | | | | | | | | | | | | | | sub-proof #3473.
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | Case 2:
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | (10802) all_54_15 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10802) imply:
% 253.99/49.88 | | | | | | | | | | | | | | | | (10803) all_4_2 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | SIMP: (10803) implies:
% 253.99/49.88 | | | | | | | | | | | | | | | | (10804) all_4_2 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | REDUCE: (353), (10804) imply:
% 253.99/49.88 | | | | | | | | | | | | | | | | (10805) ~ (all_52_3 = e0)
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | REDUCE: (364), (10804) imply:
% 253.99/49.88 | | | | | | | | | | | | | | | | (10806) ~ (all_52_7 = e0)
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | REDUCE: (9932), (10804) imply:
% 253.99/49.88 | | | | | | | | | | | | | | | | (10807) ~ (e3 = e0)
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | REDUCE: (375), (10804) imply:
% 253.99/49.88 | | | | | | | | | | | | | | | | (10808) ~ (e2 = e0)
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | REDUCE: (10794), (10804) imply:
% 253.99/49.88 | | | | | | | | | | | | | | | | (10809) ~ (e1 = e0)
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 253.99/49.88 | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | (10810) all_56_15 = e0 & op(e0, e0) = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | ALPHA: (10810) implies:
% 253.99/49.88 | | | | | | | | | | | | | | | | | (10811) all_56_15 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | (10812) op(e0, e0) = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 253.99/49.88 | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | (10813) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 253.99/49.88 | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | BETA: splitting (10813) gives:
% 253.99/49.88 | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | (10814) all_56_1 = e0 & op(e3, e2) = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | ALPHA: (10814) implies:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | (10815) all_56_1 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | (10816) op(e3, e2) = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | (10817) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10817) gives:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | (10818) all_56_2 = e0 & op(e2, e3) = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10818) implies:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | (10819) all_56_2 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | (10820) op(e2, e3) = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (10820) gives:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | (10821) all_52_1 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (10816) gives:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | (10822) all_52_4 = e0
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (10821) imply:
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | (10823) ~ (all_52_2 = e0)
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10821) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | (10824) ~ (all_52_3 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (10821) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | (10825) ~ (all_52_9 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10821) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | (10826) ~ (all_52_13 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | SIMP: (10826) implies:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | (10827) ~ (all_52_13 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (10822) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | (10828) ~ (all_52_7 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (10822) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | (10829) ~ (all_52_8 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10822) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | (10830) ~ (all_52_12 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | SIMP: (10830) implies:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | (10831) ~ (all_52_12 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (10822) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | (10832) ~ (all_10_2 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | (10833) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10833) implies:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | (10834) ~ (all_8_0 = e1)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | (10835) op(e2, e3) = all_8_1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | (10836) op(e2, all_8_1) = all_8_0
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | (10837) ~ (all_42_2 = e3)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9918), (10837) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | (10838) $false
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10838) is inconsistent.
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | (10839) ( ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_1,
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10820), (10835) gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | (10840) all_8_1 = e0
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10836), (10840) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | (10841) op(e2, e0) = all_8_0
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10839) gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10842) ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0 &
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_42_1 & $i(all_42_0) &
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10842) implies:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10843) op(e2, e3) = all_42_1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, e0, e2, simplifying with (164), (10841)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10844) all_52_13 = all_8_0
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_42_1,
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10820), (10843) gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10845) all_42_1 = e0
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (10844) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10846) all_54_7 = all_8_0
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10844) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10847) ~ (all_52_9 = all_8_0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10844) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10848) ~ (all_52_12 = all_8_0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9924), (10844) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10849) ~ (all_8_0 = e3)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10827), (10844) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10850) ~ (all_8_0 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | (10851) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9929), (10819), (10851),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | #2780.
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | (10852) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10852) gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10853) all_56_5 = e1 & op(e2, e1) = e1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10853) implies:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10854) all_56_5 = e1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10855) op(e2, e1) = e1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (45), (67), (79), (118), (120), (121),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (128), (134), (141), (157), (158),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (168), (169),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (191), (196), (197), (198), (202),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (206), (209), (210), (211), (212), (213),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (231), (232), (235), (236),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (250), (251), (262), (264), (274),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (316), (323), (342), (348), (350), (376),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (9922), (9923), (9924), (9929), (9930), (9934),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10782), (10784), (10785), (10786), (10791),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10792), (10805), (10806), (10811), (10812),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10815), (10816), (10819), (10820), (10831),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10834), (10846), (10847), (10848), (10849),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10850), (10854), (10855), (function-axioms) are
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #614.
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10856) all_56_10 = e1 & op(e2, e0) = e1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (197), (10834), (10841), (10846), (10849),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10850), (10856), (function-axioms) are
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #613.
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10857) ~ (all_42_1 = e1) & op(e2, e3) = all_42_1 &
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10857) implies:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10858) ~ (all_42_1 = e1)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10859) op(e2, e3) = all_42_1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, e0, e2, simplifying with (164), (10841)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10860) all_52_13 = all_8_0
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_42_1,
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10820), (10859) gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10861) all_42_1 = e0
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (10860) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10862) all_54_7 = all_8_0
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10860) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10863) ~ (all_52_9 = all_8_0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10860) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10864) ~ (all_52_12 = all_8_0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9924), (10860) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10865) ~ (all_8_0 = e3)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10827), (10860) imply:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | (10866) ~ (all_8_0 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | (10867) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9917), (9929), (10858), (10859), (10867),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | #612.
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | (10868) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10868) gives:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10869) all_56_5 = e1 & op(e2, e1) = e1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10869) implies:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10870) all_56_5 = e1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10871) op(e2, e1) = e1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (45), (67), (79), (118), (120), (121),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (128), (134), (141), (157), (158),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (168), (169),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (191), (196), (197), (198), (202),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (206), (209), (210), (211), (212), (213),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (231), (232), (235), (236),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (250), (251), (262), (264), (274),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (316), (323), (342), (348), (350), (376),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (9922), (9923), (9924), (9929), (9930), (9934),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10782), (10784), (10785), (10786), (10791),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10792), (10805), (10806), (10811), (10812),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10815), (10816), (10819), (10820), (10831),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10834), (10862), (10863), (10864), (10865),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10866), (10870), (10871), (function-axioms) are
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #614.
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10872) all_56_10 = e1 & op(e2, e0) = e1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (197), (10834), (10841), (10862), (10865),
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10866), (10872), (function-axioms) are
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #613.
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | (10873) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10873) implies:
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | (10874) ~ (all_8_1 = e0)
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | (10875) op(e2, e3) = all_8_1
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | |
% 253.99/49.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (9918), (10820), (10874), (10875),
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | | #648.
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | (10876) all_56_3 = e0 & op(e2, e2) = e0
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9928), (10876) are inconsistent by sub-proof
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | #1471.
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | End of split
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | (10877) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10877) gives:
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | (10878) all_56_5 = e0 & op(e2, e1) = e0
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10878) implies:
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | (10879) op(e2, e1) = e0
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10785), (10879), (function-axioms) are
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | (10880) all_56_10 = e0 & op(e2, e0) = e0
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10880) implies:
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | (10881) all_56_10 = e0
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | (10882) op(e2, e0) = e0
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (159), (163),
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (229), (9934), (10782),
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | (10805), (10881), (10882), (function-axioms) are
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2775.
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | | End of split
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | End of split
% 254.05/49.89 | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.89 | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | (10883) all_56_3 = e0 & op(e2, e2) = e0
% 254.05/49.89 | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9928), (10883) are inconsistent by sub-proof
% 254.05/49.89 | | | | | | | | | | | | | | | | | | | #1471.
% 254.05/49.89 | | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | End of split
% 254.05/49.89 | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.89 | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | (10884) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 254.05/49.89 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 254.05/49.89 | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (10783), (10806), (10884),
% 254.05/49.89 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.05/49.89 | | | | | | | | | | | | | | | | | | #2774.
% 254.05/49.89 | | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | End of split
% 254.05/49.89 | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.89 | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | (10885) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 254.05/49.89 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 254.05/49.89 | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 254.05/49.89 | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 254.05/49.89 | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 254.05/49.89 | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | ALPHA: (10885) implies:
% 254.05/49.89 | | | | | | | | | | | | | | | | | (10886) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 254.05/49.89 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 254.05/49.89 | | | | | | | | | | | | | | | | | e1) = e0)
% 254.05/49.89 | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (10786), (10805), (10806),
% 254.05/49.89 | | | | | | | | | | | | | | | | | (10886), (function-axioms) are inconsistent by
% 254.05/49.89 | | | | | | | | | | | | | | | | | sub-proof #3078.
% 254.05/49.89 | | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | | End of split
% 254.05/49.89 | | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | End of split
% 254.05/49.89 | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | End of split
% 254.05/49.89 | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | End of split
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | Case 2:
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | (10887) all_20_2 = e1
% 254.05/49.89 | | | | | | | | | | | | | (10888) ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0
% 254.05/49.89 | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 254.05/49.89 | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 254.05/49.89 | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | COMBINE_EQS: (322), (10887) imply:
% 254.05/49.89 | | | | | | | | | | | | | (10889) all_4_2 = e1
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | SIMP: (10889) implies:
% 254.05/49.89 | | | | | | | | | | | | | (10890) all_4_2 = e1
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | COMBINE_EQS: (311), (10890) imply:
% 254.05/49.89 | | | | | | | | | | | | | (10891) all_34_2 = e1
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | REDUCE: (353), (10890) imply:
% 254.05/49.89 | | | | | | | | | | | | | (10892) ~ (all_52_3 = e1)
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | REDUCE: (364), (10890) imply:
% 254.05/49.89 | | | | | | | | | | | | | (10893) ~ (all_52_7 = e1)
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | REDUCE: (371), (10890) imply:
% 254.05/49.89 | | | | | | | | | | | | | (10894) ~ (all_52_11 = e1)
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | REDUCE: (372), (10890) imply:
% 254.05/49.89 | | | | | | | | | | | | | (10895) ~ (all_52_12 = e1)
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | REDUCE: (373), (10890) imply:
% 254.05/49.89 | | | | | | | | | | | | | (10896) ~ (all_52_13 = e1)
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | REDUCE: (374), (10890) imply:
% 254.05/49.89 | | | | | | | | | | | | | (10897) ~ (all_52_14 = e1)
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | REDUCE: (9932), (10890) imply:
% 254.05/49.89 | | | | | | | | | | | | | (10898) ~ (e3 = e1)
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | REDUCE: (375), (10890) imply:
% 254.05/49.89 | | | | | | | | | | | | | (10899) ~ (e2 = e1)
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | BETA: splitting (210) gives:
% 254.05/49.89 | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | Case 1:
% 254.05/49.89 | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | (10900) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 254.05/49.89 | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 254.05/49.89 | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | BETA: splitting (10900) gives:
% 254.05/49.89 | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | Case 1:
% 254.05/49.89 | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | (10901) all_56_9 = e1 & op(e3, e0) = e1
% 254.05/49.89 | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | | REF_CLOSE: (168), (10895), (10901), (function-axioms) are
% 254.05/49.89 | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 254.05/49.89 | | | | | | | | | | | | | | |
% 254.05/49.89 | | | | | | | | | | | | | | Case 2:
% 254.05/49.89 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | (10902) all_56_10 = e1 & op(e2, e0) = e1
% 254.05/49.90 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | REF_CLOSE: (164), (10896), (10902), (function-axioms) are
% 254.05/49.90 | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 254.05/49.90 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | End of split
% 254.05/49.90 | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | (10903) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 254.05/49.90 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 254.05/49.90 | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | BETA: splitting (10903) gives:
% 254.05/49.90 | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | (10904) all_56_11 = e1 & op(e1, e0) = e1
% 254.05/49.90 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | ALPHA: (10904) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | (10905) op(e1, e0) = e1
% 254.05/49.90 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | REF_CLOSE: (160), (10897), (10905), (function-axioms) are
% 254.05/49.90 | | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 254.05/49.90 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | (10906) all_56_15 = e1 & op(e0, e0) = e1
% 254.05/49.90 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | ALPHA: (10906) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | (10907) all_56_15 = e1
% 254.05/49.90 | | | | | | | | | | | | | | | (10908) op(e0, e0) = e1
% 254.05/49.90 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 254.05/49.90 | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | (10909) ~ (all_24_2 = e2)
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | REDUCE: (323), (10909) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | (10910) ~ (all_10_2 = e2)
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | (10911) all_54_0 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (10911) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | (10912) all_10_2 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | REDUCE: (348), (10912) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | (10913) ~ (all_52_8 = e3)
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | REDUCE: (45), (10912) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | (10914) op(e3, e3) = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (73), (82),
% 254.05/49.90 | | | | | | | | | | | | | | | | | (139), (140), (157), (158), (159), (160), (162),
% 254.05/49.90 | | | | | | | | | | | | | | | | | (163), (165), (169), (192), (215), (216), (220),
% 254.05/49.90 | | | | | | | | | | | | | | | | | (225), (226), (229), (231), (233), (252), (376),
% 254.05/49.90 | | | | | | | | | | | | | | | | | (9921), (9923), (9928), (9929), (10779), (10781),
% 254.05/49.90 | | | | | | | | | | | | | | | | | (10783), (10787), (10792), (10888), (10891),
% 254.05/49.90 | | | | | | | | | | | | | | | | | (10892), (10893), (10897), (10913), (10914),
% 254.05/49.90 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.05/49.90 | | | | | | | | | | | | | | | | | #608.
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | (10915) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (9930), (9934), (10910), (10915) are
% 254.05/49.90 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | End of split
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | (10916) all_24_2 = e2
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (10916) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | (10917) all_10_2 = e2
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | SIMP: (10917) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | (10918) all_10_2 = e2
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | REDUCE: (340), (10918) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | (10919) ~ (all_52_1 = e2)
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | REDUCE: (344), (10918) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | (10920) ~ (all_52_3 = e2)
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | REDUCE: (348), (10918) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | (10921) ~ (all_52_8 = e2)
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | REDUCE: (350), (10918) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | (10922) ~ (all_52_12 = e2)
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | REDUCE: (45), (10918) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | (10923) op(e3, e3) = e2
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | (10924) all_54_6 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9923), (10924) are inconsistent by
% 254.05/49.90 | | | | | | | | | | | | | | | | | sub-proof #2704.
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | (10925) ~ (all_54_6 = e3)
% 254.05/49.90 | | | | | | | | | | | | | | | | | (10926) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | (10927) all_54_14 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (10927) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | (10928) all_52_11 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | REDUCE: (139), (10928) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | (10929) ~ (all_52_3 = e3)
% 254.05/49.90 | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | REDUCE: (121), (10928) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | (10930) ~ (all_52_8 = e3)
% 254.05/49.90 | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | (10931) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (10931) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | (10932) all_56_12 = e2 & op(e0, e3) = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10920), (10932), (function-axioms) are
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | (10933) all_56_13 = e2 & op(e0, e2) = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (10933) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | (10934) all_56_13 = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | (10935) op(e0, e2) = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | (10936) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (73), (82),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | (139), (140), (157), (158), (159), (160), (162),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (169), (192), (215), (216),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | (220), (225), (226), (229), (231), (233), (252),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | (376), (9919), (9921), (9923), (9928), (9929),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | (10779), (10781), (10783), (10787), (10792),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | (10888), (10891), (10892), (10893), (10897),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | (10930), (10936), (function-axioms) are
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #607.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | (10937) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10937) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | (10938) all_56_6 = e3 & op(e1, e3) = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10938) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | (10939) all_56_6 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | (10940) op(e1, e3) = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | (10941) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10941) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | (10942) all_56_6 = e1 & op(e1, e3) = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10942) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | (10943) op(e1, e3) = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10940), (10943), (function-axioms) are
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | (10944) all_56_7 = e1 & op(e1, e2) = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10944) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | (10945) all_56_7 = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | (10946) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10946) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (10947) all_56_0 = e1 & op(e3, e3) = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10947) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (10948) op(e3, e3) = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10923), (10948), (function-axioms) are
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (10949) all_56_2 = e1 & op(e2, e3) = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10949) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (10950) all_56_2 = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10951) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10951) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10952) all_56_1 = e0 & op(e3, e2) = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10952) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10953) all_56_1 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10954) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10954) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10955) all_56_6 = e2 & op(e1, e3) = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10939), (10955) are inconsistent by
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3238.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10956) all_56_7 = e2 & op(e1, e2) = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10945), (10956) are inconsistent by
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2121.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10957) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10957) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10958) all_56_8 = e2 & op(e1, e1) = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10958) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10959) op(e1, e1) = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10792), (10959), (function-axioms) are
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10960) all_56_11 = e2 & op(e1, e0) = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10960) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10961) all_56_11 = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10962) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10962) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10963) all_56_2 = e0 & op(e2, e3) = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10963) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10964) all_56_2 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10950), (10964) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10965) e1 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10945), (10965) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10966) all_56_7 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (214),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (226), (227),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (376), (9928), (10786), (10792), (10939),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10961), (10966), (function-axioms) are
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2571.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10967) all_56_3 = e0 & op(e2, e2) = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10967) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10968) all_56_3 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (10934),
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10953), (10968) are inconsistent by sub-proof
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2922.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10969) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10969) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10970) all_56_5 = e0 & op(e2, e1) = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10970) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10971) op(e2, e1) = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10785), (10971), (function-axioms) are
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10972) all_56_10 = e0 & op(e2, e0) = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10972) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10973) op(e2, e0) = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10974) all_54_2 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (10930), (10974) are inconsistent by
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2837.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10975) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10976) all_54_12 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (10976) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10977) all_52_3 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10929), (10977) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978) $false
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10978) is inconsistent.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10979) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10979) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10980) all_54_12 = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (10920), (10980) are inconsistent by
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3123.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10981) all_54_12 = e1 | all_54_12 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10981) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10982) all_54_12 = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (10892), (10982) are inconsistent by
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10983) all_54_12 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (10983) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10984) all_52_3 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10984) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10985) all_52_3 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10985) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10986) ~ (all_52_1 = e0)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10987) all_54_4 = e3
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (9919), (10987) are inconsistent by
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3359.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10988) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10975) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10989) all_54_2 = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (10921), (10989) are inconsistent by
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2432.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10990) all_54_2 = e1 | all_54_2 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10990) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10991) all_54_2 = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (10991) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10992) all_52_8 = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10992) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10993) all_52_8 = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (10993) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10994) ~ (all_52_9 = e1)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10994) implies:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10995) ~ (all_52_9 = e1)
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (10993) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10996) op(e3, e1) = e1
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10988) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10997) all_54_4 = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10919), (10997) are inconsistent by
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3355.
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10998) all_54_4 = e1 | all_54_4 = e0
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10926) gives:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10999) all_54_6 = e2
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10999) imply:
% 254.05/49.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11000) all_52_9 = e2
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11000) implies:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11001) all_52_9 = e2
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11001) imply:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11002) ~ (all_52_13 = e2)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11002) implies:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11003) ~ (all_52_13 = e2)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10998) gives:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11004) all_54_4 = e1
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11004) imply:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11005) all_52_1 = e1
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11005) implies:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11006) all_52_1 = e1
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11006) imply:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11007) ~ (all_52_2 = e1)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11007) implies:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11008) ~ (all_52_2 = e1)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11009) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11009) gives:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11010) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9929), (11008), (11010), (function-axioms)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #702.
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11011) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10923), (10973), (11011), (function-axioms) are
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #606.
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11012) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11012) gives:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11013) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.05/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10940), (11013), (function-axioms) are
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2462.
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11014) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11014) gives:
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11015) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11015) implies:
% 254.13/49.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11016) ~ (all_57_15 = e2)
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11017) op(e0, e2) = all_57_15
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10935), (11016), (11017), (function-axioms) are
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2913.
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11018) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (164), (10897), (10908), (10935),
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10996), (11003), (11018), (function-axioms) are
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2878.
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.13/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11019) all_54_4 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10986), (11019) are inconsistent by
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2877.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11020) all_54_6 = e1 | all_54_6 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (10785), (10995), (11020) are inconsistent
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3127.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11021) all_54_2 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (10784), (11021) are inconsistent by
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2682.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11022) all_56_3 = e0 & op(e2, e2) = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9928), (11022) are inconsistent by sub-proof
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1471.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11023) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11023) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11024) all_56_7 = e0 & op(e1, e2) = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11024) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11025) all_56_7 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (214),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (226), (227),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (376), (9928), (10786), (10792), (10939),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11025), (function-axioms) are inconsistent by
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2570.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11026) all_56_13 = e0 & op(e0, e2) = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11026) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11027) op(e0, e2) = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10935), (11027), (function-axioms) are
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | (11028) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (10892), (10940), (11028),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | #687.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | (11029) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (10791), (10897), (11029),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | #3049.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | (11030) all_56_12 = e3 & op(e0, e3) = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (157), (165),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | (169), (206), (208), (220), (376), (9923),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | (10786), (10907), (10930), (11030),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | #604.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | (11031) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (11031) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | (11032) all_56_14 = e2 & op(e0, e1) = e2
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (11032) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | (11033) all_56_14 = e2
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | (11034) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (73), (82),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | (139), (140), (157), (158), (159), (160), (162),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (169), (192), (215), (216),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | (220), (225), (226), (229), (231), (233), (252),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | (376), (9919), (9921), (9923), (9928), (9929),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | (10779), (10781), (10783), (10787), (10792),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | (10888), (10891), (10892), (10893), (10897),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | (10930), (11034), (function-axioms) are
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #607.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | (11035) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11035) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | (11036) all_56_6 = e3 & op(e1, e3) = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11036) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | (11037) all_56_6 = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | (11038) op(e1, e3) = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | (11039) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11039) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | (11040) all_56_6 = e1 & op(e1, e3) = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11040) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | (11041) op(e1, e3) = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11038), (11041), (function-axioms) are
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | (11042) all_56_7 = e1 & op(e1, e2) = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11042) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | (11043) all_56_7 = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | (11044) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11044) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (11045) all_56_1 = e2 & op(e3, e2) = e2
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11045) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (11046) all_56_1 = e2
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11047) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11047) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11048) all_56_0 = e1 & op(e3, e3) = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11048) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11049) op(e3, e3) = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10923), (11049), (function-axioms) are
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11050) all_56_2 = e1 & op(e2, e3) = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11050) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11051) all_56_2 = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11052) op(e2, e3) = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11053) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11053) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11054) all_56_0 = e3 & op(e3, e3) = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11054) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11055) op(e3, e3) = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (11037),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11051), (11052), (11055), (function-axioms) are
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #707.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11056) all_56_1 = e3 & op(e3, e2) = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11056) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11057) op(e3, e2) = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9920), (11057), (function-axioms) are
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3469.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11058) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11058) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11059) all_56_4 = e3 & op(e3, e1) = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11059) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11060) op(e3, e1) = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10930), (11060), (function-axioms) are
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3466.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11061) all_56_9 = e3 & op(e3, e0) = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11061) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11062) all_56_9 = e3
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11063) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10923), (11046), (11063), (function-axioms)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2492.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11064) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11064) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11065) all_56_4 = e1 & op(e3, e1) = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11065) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11066) all_56_4 = e1
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11067) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11067) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11068) all_56_2 = e0 & op(e2, e3) = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11068) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11069) all_56_2 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11051), (11069) imply:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11070) e1 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11043), (11070) imply:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11071) all_56_7 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (214),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (226), (227),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (376), (9928), (10786), (10792), (11037),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11071), (function-axioms) are inconsistent by
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2570.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11072) all_56_3 = e0 & op(e2, e2) = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11072) implies:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11073) all_56_3 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9928), (11073) imply:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11074) e3 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11062), (11074) imply:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11075) all_56_9 = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (10923),
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11046), (11075), (function-axioms) are
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2316.
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11076) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11076) gives:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11077) all_56_5 = e0 & op(e2, e1) = e0
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11077) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11078) op(e2, e1) = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10785), (11078), (function-axioms) are
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11079) all_56_10 = e0 & op(e2, e0) = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11079) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11080) op(e2, e0) = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11081) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9929), (10923), (11037), (11081),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #603.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11082) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11082) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11083) all_56_5 = e2 & op(e2, e1) = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11083) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11084) all_56_5 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (10791), (11033), (11066),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11084) are inconsistent by sub-proof #2739.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11085) all_56_10 = e2 & op(e2, e0) = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11085) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11086) op(e2, e0) = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11080), (11086), (function-axioms) are
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11087) all_56_9 = e1 & op(e3, e0) = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10895), (11087), (function-axioms) are
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11088) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (10892), (11038), (11088),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | #687.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (11089) all_56_3 = e2 & op(e2, e2) = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11089) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (11090) op(e2, e2) = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (11090), (function-axioms) are
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | (11091) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11091) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (11092) all_56_7 = e2 & op(e1, e2) = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11092) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (11093) all_56_7 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11043), (11093) are inconsistent by
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3093.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (11094) all_56_13 = e2 & op(e0, e2) = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11094) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (11095) all_56_13 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (39), (157), (165), (169),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (220), (376), (9923), (10786),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (10907), (10930), (11033), (11095),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | #601.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | (11096) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (10791), (10897), (11096),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | #3049.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | (11097) all_56_12 = e3 & op(e0, e3) = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (157), (165),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | (169), (206), (208), (220), (376), (9923),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | (10786), (10907), (10930), (11097),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | #604.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | (11098) all_56_15 = e2 & op(e0, e0) = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | ALPHA: (11098) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | (11099) all_56_15 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10907), (11099) are inconsistent by
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | sub-proof #3014.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.93 | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | (11100) ~ (all_54_14 = e3)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | (11101) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | REDUCE: (250), (11100) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | (11102) ~ (all_52_11 = e3)
% 254.15/49.93 | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | BETA: splitting (11101) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | (11103) all_54_14 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (11103) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | (11104) all_52_11 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11104) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | (11105) ~ (all_52_7 = e2)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11104) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | (11106) ~ (all_52_9 = e2)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | REDUCE: (11102), (11104) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | (11107) ~ (e3 = e2)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | (11108) all_54_13 = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (11108) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | (11109) all_52_7 = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (9922), (11109) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | (11110) $false
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | CLOSE: (11110) is inconsistent.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | (11111) ~ (all_54_13 = e3)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | (11112) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11112) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | (11113) all_54_13 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (11113) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | (11114) all_52_7 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11105), (11114) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | (11115) $false
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11115) is inconsistent.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | (11116) ~ (all_54_13 = e2)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | (11117) all_54_13 = e1 | all_54_13 = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | (11118) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11118) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | (11119) all_56_4 = e3 & op(e3, e1) = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11119) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | (11120) all_56_4 = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | (11121) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11121) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | (11122) all_56_12 = e3 & op(e0, e3) = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11122) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | (11123) op(e0, e3) = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10926) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (11124) all_54_6 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (11106), (11124) are inconsistent by
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3130.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (11125) ~ (all_54_6 = e2)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (11126) all_54_6 = e1 | all_54_6 = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11126) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11127) all_54_6 = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (11127) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11128) all_52_9 = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11128) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11129) all_52_9 = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (11129) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11130) ~ (all_52_1 = e1)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11129) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11131) ~ (all_52_8 = e1)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (11129) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11132) op(e2, e1) = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11133) all_54_2 = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (11133) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11134) all_52_8 = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (11134) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11135) ~ (all_52_12 = e3)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11135) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11136) ~ (all_52_12 = e3)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11137) all_54_3 = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11137) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11138) all_52_12 = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11136), (11138) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11139) $false
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11139) is inconsistent.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11140) ~ (all_54_3 = e3)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11141) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11141) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11142) all_54_3 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11142) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11143) all_52_12 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10922), (11143) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11144) $false
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11144) is inconsistent.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11145) ~ (all_54_3 = e2)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11146) all_54_3 = e1 | all_54_3 = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11146) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11147) all_54_3 = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11147) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11148) all_52_12 = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10895), (11148) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11149) $false
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11149) is inconsistent.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11150) all_54_3 = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11150) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11151) all_52_12 = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (11151) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11152) ~ (all_52_14 = e0)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11136), (11151) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11153) ~ (e3 = e0)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10922), (11151) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11154) ~ (e2 = e0)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10895), (11151) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11155) ~ (e1 = e0)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (11151) imply:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11156) op(e3, e0) = e0
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11157) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (164), (9924), (11156), (11157),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #655.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11158) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11158) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11159) all_56_11 = e3 & op(e1, e0) = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11159) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11160) all_56_11 = e3
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11161) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11161) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11162) all_56_6 = e2 & op(e1, e3) = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11162) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11163) op(e1, e3) = e2
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11164) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11164) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11165) all_56_6 = e1 & op(e1, e3) = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11165) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11166) op(e1, e3) = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11163), (11166), (function-axioms) are
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2139.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11167) all_56_7 = e1 & op(e1, e2) = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11167) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11168) all_56_7 = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11169) op(e1, e2) = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11170) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11170) gives:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11171) all_56_0 = e1 & op(e3, e3) = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11171) implies:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11172) all_56_0 = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11173) op(e3, e3) = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (73), (94), (110), (112), (113), (117),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (139), (140), (143), (144),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (157), (158), (160), (162), (163),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (196), (197), (200), (201),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (206), (207), (208), (209), (212),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (218), (219), (220), (221),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (230), (232), (233),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (238), (241), (250), (251), (252),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (262), (263), (272), (273), (274), (275),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (9917), (9918), (9919), (9920), (9922),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9923), (9924), (9928), (9929), (10779), (10781),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10782), (10783), (10784), (10785), (10786),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10787), (10792), (10892), (10895), (10907),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10908), (11132), (11168), (11169), (11172),
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11173), (function-axioms) are inconsistent by
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #593.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11174) all_56_2 = e1 & op(e2, e3) = e1
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11130), (11174), (function-axioms) are
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #895.
% 254.15/49.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11175) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11175) gives:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11176) all_56_6 = e1 & op(e1, e3) = e1
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11176) implies:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11177) op(e1, e3) = e1
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11163), (11177), (function-axioms) are
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2139.
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11178) all_56_12 = e1 & op(e0, e3) = e1
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10892), (11178), (function-axioms) are
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3077.
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11179) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (10791), (10897), (11179),
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3049.
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11180) all_56_7 = e2 & op(e1, e2) = e2
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11180) implies:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11181) op(e1, e2) = e2
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11182) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11182) gives:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11183) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11156), (11183), (function-axioms) are
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2237.
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11184) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10923), (11132), (11184), (function-axioms) are
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11185) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11185) gives:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11186) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11132), (11181), (11186), (function-axioms)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2235.
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11187) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11187) gives:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11188) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11188) implies:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189) ~ (all_57_7 = e3)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11190) op(e0, e3) = all_57_7
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11123), (11189), (11190), (function-axioms) are
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11191) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11191) gives:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11192) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11192) implies:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11193) ~ (all_57_7 = e3)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11194) op(e0, e3) = all_57_7
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11123), (11193), (11194), (function-axioms) are
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11195) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11195) implies:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11196) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11196) gives:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11197) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11132), (11156), (11197), (function-axioms) are
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #767.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11198) (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) & op(e1,
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_5 & op(e1, e2) = all_57_13 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_29)) | (all_57_29 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e3) & ~ (all_57_15 = e2) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 & op(e0,
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_21) &
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (10786), (10897), (11198),
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2479.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11199) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11199) gives:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11200) all_56_8 = e2 & op(e1, e1) = e2
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11200) implies:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11201) op(e1, e1) = e2
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10792), (11201), (function-axioms) are
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11202) all_56_11 = e2 & op(e1, e0) = e2
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11202) implies:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11203) all_56_11 = e2
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11160), (11203) imply:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204) e3 = e2
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11120), (11204) imply:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11205) all_56_4 = e2
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (10895), (10923), (11205),
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2273.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11206) all_56_15 = e3 & op(e0, e0) = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10907), (11206) are inconsistent by
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2736.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (10784), (10921), (11131), (11207) are
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2431.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11208) all_54_6 = e0
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (10785), (11208) are inconsistent by
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3128.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | (11209) all_56_13 = e3 & op(e0, e2) = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11209) implies:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | (11210) op(e0, e2) = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11117) gives:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (11211) all_54_13 = e1
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (10893), (11211) are inconsistent by
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2967.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (11212) all_54_13 = e0
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (11212) imply:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (11213) all_52_7 = e0
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11213) implies:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (11214) all_52_7 = e0
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9922), (11214) imply:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (11215) ~ (e3 = e0)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (11214) imply:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (11216) op(e0, e2) = e0
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11210), (11216), (function-axioms) are
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #857.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | (11217) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11217) gives:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | (11218) all_56_14 = e3 & op(e0, e1) = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11218) implies:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | (11219) all_56_14 = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (10791),
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | (11120), (11219) are inconsistent by sub-proof
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | #2097.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | (11220) all_56_15 = e3 & op(e0, e0) = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10907), (11220) are inconsistent by
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2736.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | (11221) all_56_5 = e3 & op(e2, e1) = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9923), (11221), (function-axioms) are
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #710.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | (11222) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11222) gives:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | (11223) all_56_8 = e3 & op(e1, e1) = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (11223), (function-axioms) are
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | (11224) all_56_14 = e3 & op(e0, e1) = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11224) implies:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | (11225) all_56_14 = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | (11226) op(e0, e1) = e3
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10926) gives:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | (11227) all_54_6 = e2
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (11106), (11227) are inconsistent by
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3130.
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | (11228) ~ (all_54_6 = e2)
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | (11229) all_54_6 = e1 | all_54_6 = e0
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11229) gives:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | (11230) all_54_6 = e1
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (11230) imply:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | (11231) all_52_9 = e1
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11231) implies:
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | (11232) all_52_9 = e1
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11232) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | (11233) ~ (all_52_8 = e1)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (11234) all_54_2 = e3
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (11234) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (11235) all_52_8 = e3
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (11235) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (11236) ~ (all_52_12 = e3)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11236) implies:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (11237) ~ (all_52_12 = e3)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238) all_54_3 = e3
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11238) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11239) all_52_12 = e3
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11237), (11239) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240) $false
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11240) is inconsistent.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241) ~ (all_54_3 = e3)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11242) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11242) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243) all_54_3 = e2
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11243) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244) all_52_12 = e2
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10922), (11244) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11245) $false
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11245) is inconsistent.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11246) ~ (all_54_3 = e2)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11247) all_54_3 = e1 | all_54_3 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11247) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11248) all_54_3 = e1
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11248) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11249) all_52_12 = e1
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10895), (11249) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11250) $false
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11250) is inconsistent.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11251) all_54_3 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11251) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11252) all_52_12 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (11252) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253) ~ (all_52_14 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11237), (11252) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254) ~ (e3 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10922), (11252) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11255) ~ (e2 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10895), (11252) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11256) ~ (e1 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (11252) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11257) op(e3, e0) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11258) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (164), (9924), (11257), (11258),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #655.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11259) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11259) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11260) all_56_11 = e3 & op(e1, e0) = e3
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (73), (82), (139), (140),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (192),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (225), (226), (252), (9928), (9929),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10779), (10781), (10783), (10787), (10792),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10888), (10891), (10892), (10893), (10897),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11226), (11260), (function-axioms) are
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #609.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11261) all_56_15 = e3 & op(e0, e0) = e3
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11261) implies:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11262) all_56_15 = e3
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (11105), (11225), (11262),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2018.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (11263) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (10784), (10921), (11233), (11263) are
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2431.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | (11264) all_54_6 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (10785), (11264) are inconsistent by
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3128.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | (11265) all_54_14 = e1 | all_54_14 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (10786), (10894), (11265) are inconsistent
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | by sub-proof #3122.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | (11266) all_56_11 = e0 & op(e1, e0) = e0
% 254.15/49.96 | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | ALPHA: (11266) implies:
% 254.15/49.96 | | | | | | | | | | | | (11267) op(e1, e0) = e0
% 254.15/49.96 | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | REF_CLOSE: (160), (10787), (11267), (function-axioms) are
% 254.15/49.96 | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 254.15/49.96 | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | (11268) all_16_2 = e0
% 254.15/49.96 | | | | | | | | | (11269) ( ~ (all_16_0 = e2) & op(e3, all_16_1) = all_16_0 &
% 254.15/49.96 | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 254.15/49.96 | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e1) & op(e3, e0)
% 254.15/49.96 | | | | | | | | | = all_16_1 & $i(all_16_1))
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | COMBINE_EQS: (331), (11268) imply:
% 254.15/49.96 | | | | | | | | | (11270) all_10_2 = e0
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | SIMP: (11270) implies:
% 254.15/49.96 | | | | | | | | | (11271) all_10_2 = e0
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | COMBINE_EQS: (284), (11271) imply:
% 254.15/49.96 | | | | | | | | | (11272) all_50_2 = e0
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | REDUCE: (342), (11271) imply:
% 254.15/49.96 | | | | | | | | | (11273) ~ (all_52_2 = e0)
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | REDUCE: (344), (11271) imply:
% 254.15/49.96 | | | | | | | | | (11274) ~ (all_52_3 = e0)
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | REDUCE: (346), (11271) imply:
% 254.15/49.96 | | | | | | | | | (11275) ~ (all_52_4 = e0)
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | REDUCE: (348), (11271) imply:
% 254.15/49.96 | | | | | | | | | (11276) ~ (all_52_8 = e0)
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | REDUCE: (350), (11271) imply:
% 254.15/49.96 | | | | | | | | | (11277) ~ (all_52_12 = e0)
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | REDUCE: (9930), (11271) imply:
% 254.15/49.96 | | | | | | | | | (11278) ~ (e1 = e0)
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | BETA: splitting (230) gives:
% 254.15/49.96 | | | | | | | | |
% 254.15/49.96 | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | (11279) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 254.15/49.96 | | | | | | | | | | & op(e3, e2) = e0)
% 254.15/49.96 | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | BETA: splitting (11279) gives:
% 254.15/49.96 | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | (11280) all_56_0 = e0 & op(e3, e3) = e0
% 254.15/49.96 | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | ALPHA: (11280) implies:
% 254.15/49.96 | | | | | | | | | | | (11281) all_56_0 = e0
% 254.15/49.96 | | | | | | | | | | | (11282) op(e3, e3) = e0
% 254.15/49.96 | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | BETA: splitting (58) gives:
% 254.15/49.96 | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | (11283) ~ (all_18_2 = e0)
% 254.15/49.96 | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | REDUCE: (328), (11283) imply:
% 254.15/49.96 | | | | | | | | | | | | (11284) ~ (all_6_2 = e0)
% 254.15/49.96 | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | BETA: splitting (61) gives:
% 254.15/49.96 | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | (11285) ~ (all_20_2 = e1)
% 254.15/49.96 | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | REDUCE: (322), (11285) imply:
% 254.15/49.96 | | | | | | | | | | | | | (11286) ~ (all_4_2 = e1)
% 254.15/49.96 | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 254.15/49.96 | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | (11287) all_54_15 = e3
% 254.15/49.96 | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | REF_CLOSE: (249), (9932), (11287) are inconsistent by
% 254.15/49.96 | | | | | | | | | | | | | | sub-proof #3475.
% 254.15/49.96 | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | (11288) ~ (all_54_15 = e3)
% 254.15/49.96 | | | | | | | | | | | | | | (11289) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 254.15/49.96 | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | BETA: splitting (11289) gives:
% 254.15/49.96 | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | (11290) all_54_15 = e2
% 254.15/49.96 | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (11290) are inconsistent by
% 254.15/49.96 | | | | | | | | | | | | | | | sub-proof #3474.
% 254.15/49.96 | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | (11291) all_54_15 = e1 | all_54_15 = e0
% 254.15/49.96 | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | BETA: splitting (11291) gives:
% 254.15/49.96 | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | (11292) all_54_15 = e1
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | REF_CLOSE: (249), (11286), (11292) are inconsistent by
% 254.15/49.96 | | | | | | | | | | | | | | | | sub-proof #3473.
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | (11293) all_54_15 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (11293) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | (11294) all_4_2 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | SIMP: (11294) implies:
% 254.15/49.96 | | | | | | | | | | | | | | | | (11295) all_4_2 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | REDUCE: (364), (11295) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | (11296) ~ (all_52_7 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | REDUCE: (371), (11295) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | (11297) ~ (all_52_11 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | REDUCE: (9932), (11295) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | (11298) ~ (e3 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | REDUCE: (36), (11295) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | (11299) op(e0, e0) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | (11300) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | BETA: splitting (11300) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | (11301) all_56_1 = e0 & op(e3, e2) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11275), (11301), (function-axioms) are
% 254.15/49.96 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | (11302) all_56_3 = e0 & op(e2, e2) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9928), (11302) are inconsistent by sub-proof
% 254.15/49.96 | | | | | | | | | | | | | | | | | | #1471.
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | (11303) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 254.15/49.96 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | BETA: splitting (11303) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | (11304) all_56_7 = e0 & op(e1, e2) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | ALPHA: (11304) implies:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | (11305) op(e1, e2) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | (11306) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (11306) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | (11307) all_56_4 = e0 & op(e3, e1) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11276), (11307), (function-axioms) are
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | (11308) all_56_5 = e0 & op(e2, e1) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (11308) implies:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | (11309) op(e2, e1) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (11305) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | (11310) all_52_6 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (11309) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | (11311) all_52_9 = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11310) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | (11312) ~ (all_52_7 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11310) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | (11313) ~ (all_52_14 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | SIMP: (11313) implies:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | (11314) ~ (all_52_14 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11311) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | (11315) ~ (all_52_11 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (11311) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | (11316) ~ (all_6_2 = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11317) ~ (all_36_2 = e2)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (11317) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11318) ~ (all_6_2 = e2)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (158), (159), (162), (163), (170),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (194), (241), (338), (352), (363), (376), (9920),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (9929), (11274), (11284), (11296), (11297),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11299), (11318), (function-axioms) are
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #701.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11319) all_36_2 = e2
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11320) ( ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (11319) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11321) all_6_2 = e2
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (11321) implies:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11322) all_6_2 = e2
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (11322) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11323) ~ (all_52_14 = e2)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (11322) imply:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11324) op(e1, e1) = e2
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (126), (141), (157), (158), (159), (160),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (162), (163), (170), (193), (214), (216), (241),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (253), (376), (9920), (9921), (9929), (11274),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11296), (11297), (11299), (11305), (11314),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | (11320), (11323), (11324), (function-axioms) are
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #696.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | (11325) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (11284), (11297), (11325),
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.96 | | | | | | | | | | | | | | | | | | | #3206.
% 254.15/49.96 | | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | (11326) all_56_13 = e0 & op(e0, e2) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | ALPHA: (11326) implies:
% 254.15/49.96 | | | | | | | | | | | | | | | | | | (11327) op(e0, e2) = e0
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11296), (11327), (function-axioms) are
% 254.15/49.96 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 254.15/49.96 | | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | End of split
% 254.15/49.96 | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | Case 2:
% 254.15/49.96 | | | | | | | | | | | | |
% 254.15/49.96 | | | | | | | | | | | | | (11328) all_20_2 = e1
% 254.15/49.96 | | | | | | | | | | | | | (11329) ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0
% 254.15/49.96 | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 254.15/49.96 | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 254.15/49.96 | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | COMBINE_EQS: (322), (11328) imply:
% 254.15/49.97 | | | | | | | | | | | | | (11330) all_4_2 = e1
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | SIMP: (11330) implies:
% 254.15/49.97 | | | | | | | | | | | | | (11331) all_4_2 = e1
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | COMBINE_EQS: (311), (11331) imply:
% 254.15/49.97 | | | | | | | | | | | | | (11332) all_34_2 = e1
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | REDUCE: (353), (11331) imply:
% 254.15/49.97 | | | | | | | | | | | | | (11333) ~ (all_52_3 = e1)
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | REDUCE: (364), (11331) imply:
% 254.15/49.97 | | | | | | | | | | | | | (11334) ~ (all_52_7 = e1)
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | REDUCE: (371), (11331) imply:
% 254.15/49.97 | | | | | | | | | | | | | (11335) ~ (all_52_11 = e1)
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | REDUCE: (372), (11331) imply:
% 254.15/49.97 | | | | | | | | | | | | | (11336) ~ (all_52_12 = e1)
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | REDUCE: (373), (11331) imply:
% 254.15/49.97 | | | | | | | | | | | | | (11337) ~ (all_52_13 = e1)
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | REDUCE: (374), (11331) imply:
% 254.15/49.97 | | | | | | | | | | | | | (11338) ~ (all_52_14 = e1)
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | REDUCE: (9932), (11331) imply:
% 254.15/49.97 | | | | | | | | | | | | | (11339) ~ (e3 = e1)
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | REDUCE: (375), (11331) imply:
% 254.15/49.97 | | | | | | | | | | | | | (11340) ~ (e2 = e1)
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | BETA: splitting (207) gives:
% 254.15/49.97 | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | (11341) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 254.15/49.97 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 254.15/49.97 | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (11333), (11334), (11341),
% 254.15/49.97 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.97 | | | | | | | | | | | | | | #3076.
% 254.15/49.97 | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | (11342) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 254.15/49.97 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 254.15/49.97 | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | BETA: splitting (11342) gives:
% 254.15/49.97 | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | (11343) all_56_14 = e1 & op(e0, e1) = e1
% 254.15/49.97 | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | REF_CLOSE: (157), (11335), (11343), (function-axioms) are
% 254.15/49.97 | | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 254.15/49.97 | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | (11344) all_56_15 = e1 & op(e0, e0) = e1
% 254.15/49.97 | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | ALPHA: (11344) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | (11345) all_56_15 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | (11346) op(e0, e0) = e1
% 254.15/49.97 | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 254.15/49.97 | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | (11347) ~ (all_34_2 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | REDUCE: (11332), (11347) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | (11348) $false
% 254.15/49.97 | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | CLOSE: (11348) is inconsistent.
% 254.15/49.97 | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | (11349) ( ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0
% 254.15/49.97 | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 254.15/49.97 | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 254.15/49.97 | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | (11350) ~ (all_36_2 = e2)
% 254.15/49.97 | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | REDUCE: (306), (11350) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | (11351) ~ (all_6_2 = e2)
% 254.15/49.97 | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | (11352) all_54_10 = e3
% 254.15/49.97 | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (11352) are inconsistent by
% 254.15/49.97 | | | | | | | | | | | | | | | | | | sub-proof #3450.
% 254.15/49.97 | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | (11353) ~ (all_54_10 = e3)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | (11354) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | BETA: splitting (11354) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | (11355) all_54_10 = e2
% 254.15/49.97 | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (11351), (11355) are inconsistent by
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | sub-proof #3449.
% 254.15/49.97 | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | (11356) ~ (all_54_10 = e2)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | (11357) all_54_10 = e1 | all_54_10 = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (11357) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | (11358) all_54_10 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (11358) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | (11359) all_6_2 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | SIMP: (11359) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | (11360) all_6_2 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (11360) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | (11361) ~ (all_52_2 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (11360) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | (11362) ~ (all_52_6 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (11360) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | (11363) op(e1, e1) = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | (11364) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11364) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | (11365) all_56_2 = e1 & op(e2, e3) = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11365) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | (11366) all_56_2 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | (11367) op(e2, e3) = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | (11368) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11368) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11369) all_56_1 = e1 & op(e3, e2) = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11369) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11370) all_56_1 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11371) op(e3, e2) = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (11367) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11372) all_52_1 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (11371) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11373) all_52_4 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11372) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11374) ~ (all_52_2 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (11372) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11375) ~ (all_52_9 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11375) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11376) ~ (all_52_9 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11372) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11377) ~ (all_52_13 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11373) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11378) ~ (all_52_6 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11373) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11379) ~ (all_52_8 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11379) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | (11380) ~ (all_52_8 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | (11381) ~ (all_42_2 = e3)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9918), (11381) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | (11382) $false
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11382) is inconsistent.
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | (11383) ( ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11383) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (11384) ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0 &
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_42_1 & $i(all_42_0) &
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11384) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (11385) ~ (all_42_0 = e0)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (11386) op(e2, e3) = all_42_1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (11387) op(e2, all_42_1) = all_42_0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11388) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11388) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11389) op(e2, e3) = all_8_1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11390) op(e2, all_8_1) = all_8_0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_1,
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (11367), (11386) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11391) all_42_1 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e3, e2, simplifying with (11386),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11389) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11392) all_42_1 = all_8_1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11391), (11392) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11393) all_8_1 = e1
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11387), (11391) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11394) op(e2, e1) = all_42_0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11390), (11393) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11395) op(e2, e1) = all_8_0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, e1, e2, simplifying with (165), (11395)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11396) all_52_9 = all_8_0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e1, e2, simplifying with (165), (11394)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11397) all_52_9 = all_42_0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11396), (11397) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11398) all_42_0 = all_8_0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11398) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11399) all_42_0 = all_8_0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (11396) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11400) all_54_6 = all_8_0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11396) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11401) ~ (all_52_8 = all_8_0)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11396) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11402) ~ (all_52_11 = all_8_0)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11402) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11403) ~ (all_52_11 = all_8_0)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11396) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11404) ~ (all_52_13 = all_8_0)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11404) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11405) ~ (all_52_13 = all_8_0)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9923), (11396) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11406) ~ (all_8_0 = e3)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11376), (11396) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11407) ~ (all_8_0 = e1)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11385), (11399) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11408) ~ (all_8_0 = e0)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11409) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11409) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11410) all_56_4 = e0 & op(e3, e1) = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11276), (11410), (function-axioms) are
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11411) all_56_5 = e0 & op(e2, e1) = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11411) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11412) all_56_5 = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11413) all_54_6 = e3
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11400), (11406), (11413) are inconsistent by
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #671.
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11414) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11414) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11415) all_54_6 = e2
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11400), (11415) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11416) all_8_0 = e2
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11416) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11417) all_8_0 = e2
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11405), (11417) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11418) ~ (all_52_13 = e2)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (159), (160), (162), (163), (164),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (223), (241), (263), (9924), (11274),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282), (11337), (11338), (11361), (11362),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11363), (11367), (11412), (11418),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #591.
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11419) all_54_6 = e1 | all_54_6 = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11400), (11407), (11408), (11419) are
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #668.
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11420) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11420) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11421) all_56_8 = e0 & op(e1, e1) = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11421) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11422) all_56_8 = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (214), (11338), (11361),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11362), (11422), (function-axioms) are
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3048.
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11423) all_56_14 = e0 & op(e0, e1) = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11423) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11424) all_56_14 = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11425) all_54_6 = e3
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11400), (11406), (11425) are inconsistent by
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #671.
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11426) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11426) gives:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11427) all_54_6 = e2
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11400), (11427) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11428) all_8_0 = e2
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11428) implies:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11429) all_8_0 = e2
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11401), (11429) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11430) ~ (all_52_8 = e2)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11403), (11429) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11431) ~ (all_52_11 = e2)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11405), (11429) imply:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11432) ~ (all_52_13 = e2)
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (120), (121), (125), (139),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (168),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (197), (202), (206), (207), (208),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (212), (215), (217), (218), (219), (220),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (250), (263), (274), (376), (9920), (9924),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928), (9929), (11274), (11276), (11277),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11281), (11282), (11335), (11337), (11338),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11345), (11346), (11361), (11362), (11363),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11367), (11370), (11380), (11424), (11430),
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11431), (11432), (function-axioms) are
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #585.
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11433) all_54_6 = e1 | all_54_6 = e0
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11400), (11407), (11408), (11433) are
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #668.
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11434) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11434) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11435) ~ (all_8_1 = e0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11436) op(e2, e3) = all_8_1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_1,
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (11367), (11386) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11437) all_42_1 = e1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e3, e2, simplifying with (11386),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11436) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11438) all_42_1 = all_8_1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11437), (11438) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11439) all_8_1 = e1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11387), (11437) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11440) op(e2, e1) = all_42_0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e1, e2, simplifying with (165), (11440)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11441) all_52_9 = all_42_0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (11441) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11442) all_54_6 = all_42_0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11441) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11443) ~ (all_52_8 = all_42_0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11441) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11444) ~ (all_52_11 = all_42_0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11444) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11445) ~ (all_52_11 = all_42_0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11441) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11446) ~ (all_52_13 = all_42_0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11446) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11447) ~ (all_52_13 = all_42_0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9923), (11441) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11448) ~ (all_42_0 = e3)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11376), (11441) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11449) ~ (all_42_0 = e1)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11450) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11450) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11451) all_56_4 = e0 & op(e3, e1) = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11276), (11451), (function-axioms) are
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11452) all_56_5 = e0 & op(e2, e1) = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11452) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11453) all_56_5 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11454) all_54_6 = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11442), (11454) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11455) all_42_0 = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11448), (11455) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11456) $false
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11456) is inconsistent.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11457) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11457) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11458) all_54_6 = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11442), (11458) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11459) all_42_0 = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11447), (11459) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11460) ~ (all_52_13 = e2)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (159), (160), (162), (163), (164),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (223), (241), (263), (9924), (11274),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282), (11337), (11338), (11361), (11362),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11363), (11367), (11453), (11460),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #591.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11461) all_54_6 = e1 | all_54_6 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11385), (11442), (11449), (11461) are
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #646.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11462) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11462) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11463) all_56_8 = e0 & op(e1, e1) = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11463) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11464) all_56_8 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (214), (11338), (11361),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11362), (11464), (function-axioms) are
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3048.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11465) all_56_14 = e0 & op(e0, e1) = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11465) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11466) all_56_14 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11467) all_54_6 = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11442), (11467) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11468) all_42_0 = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11448), (11468) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11469) $false
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11469) is inconsistent.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11470) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11470) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11471) all_54_6 = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11442), (11471) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11472) all_42_0 = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11443), (11472) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11473) ~ (all_52_8 = e2)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11445), (11472) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11474) ~ (all_52_11 = e2)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11447), (11472) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11475) ~ (all_52_13 = e2)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (120), (121), (125), (139),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (168),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (197), (202), (206), (207), (208),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (212), (215), (217), (218), (219), (220),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (233), (234), (235), (236),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (250), (263), (274), (376), (9920), (9924),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928), (9929), (11274), (11276), (11277),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11281), (11282), (11335), (11337), (11338),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11345), (11346), (11361), (11362), (11363),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11367), (11370), (11380), (11466), (11473),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11474), (11475), (function-axioms) are
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #585.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11476) all_54_6 = e1 | all_54_6 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11385), (11442), (11449), (11476) are
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #646.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (11477) ~ (all_42_1 = e1) & op(e2, e3) = all_42_1 &
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11477) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (11478) ~ (all_42_1 = e1)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (11479) op(e2, e3) = all_42_1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9917), (11367), (11478), (11479),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | #640.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | (11480) all_56_3 = e1 & op(e2, e2) = e1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11480) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | (11481) all_56_3 = e1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | (11482) op(e2, e2) = e1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | (224), (11366), (11367), (11481), (11482),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | #3361.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | (11483) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (11334), (11362), (11483),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | #3080.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | (11484) all_56_3 = e1 & op(e2, e2) = e1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11484) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | (11485) op(e2, e2) = e1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (11485), (function-axioms) are
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | (11486) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11486) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | (11487) all_56_5 = e1 & op(e2, e1) = e1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11487) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | (11488) all_56_5 = e1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (162),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | (163), (169), (214), (217), (219), (220), (376),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | (11276), (11338), (11361), (11362), (11363),
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | (11488), (function-axioms) are inconsistent by
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2406.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | (11489) all_56_10 = e1 & op(e2, e0) = e1
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11337), (11489), (function-axioms) are
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | (11490) all_54_10 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (11284), (11490) are inconsistent by
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | End of split
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | (11491) all_36_2 = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (11491) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | (11492) all_6_2 = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | SIMP: (11492) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | (11493) all_6_2 = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | REDUCE: (352), (11493) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | (11494) ~ (all_52_2 = e2)
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | REDUCE: (365), (11493) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | (11495) ~ (all_52_8 = e2)
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | REDUCE: (366), (11493) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | (11496) ~ (all_52_9 = e2)
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | REDUCE: (376), (11493) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | (11497) ~ (e3 = e2)
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | REDUCE: (39), (11493) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | (11498) op(e1, e1) = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | (11499) ~ (all_42_2 = e3)
% 254.15/49.98 | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | REDUCE: (9918), (11499) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | (11500) $false
% 254.15/49.98 | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | CLOSE: (11500) is inconsistent.
% 254.15/49.98 | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | (11501) ( ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 254.15/49.98 | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 254.15/49.98 | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | (11502) ~ (all_50_2 = e0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | REDUCE: (11272), (11502) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | (11503) $false
% 254.15/49.98 | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | CLOSE: (11503) is inconsistent.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | (11504) ( ~ (all_50_0 = e1) & op(e3, all_50_1) = all_50_0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 254.15/49.98 | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | (11505) all_54_1 = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9920), (11505) are inconsistent by
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | sub-proof #2977.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | (11506) ~ (all_54_1 = e3)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | (11507) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | (11508) all_54_3 = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11508) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | (11509) all_52_12 = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | SIMP: (11509) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | (11510) all_52_12 = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (11510) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | (11511) ~ (all_52_8 = e3)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (11510) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | (11512) ~ (all_52_14 = e3)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | SIMP: (11512) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | (11513) ~ (all_52_14 = e3)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (11510) imply:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | (11514) op(e3, e0) = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | (11515) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11515) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | (11516) all_56_9 = e2 & op(e3, e0) = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11516) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | (11517) op(e3, e0) = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11514), (11517), (function-axioms) are
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | (11518) all_56_10 = e2 & op(e2, e0) = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11518) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | (11519) op(e2, e0) = e2
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | (11520) all_56_15 = e0 & op(e0, e0) = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11520) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | (11521) all_56_15 = e0
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11345), (11521) are inconsistent by
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2474.
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | (11522) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11522) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | (11523) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | (11524) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11524) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (11525) all_56_6 = e3 & op(e1, e3) = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11525) implies:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (11526) op(e1, e3) = e3
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11523) gives:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11527) all_56_9 = e0 & op(e3, e0) = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11527) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11528) op(e3, e0) = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11514), (11528), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #872.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11529) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11529) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11530) all_56_10 = e0 & op(e2, e0) = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11530) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11531) op(e2, e0) = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11519), (11531), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11532) all_56_11 = e0 & op(e1, e0) = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11532) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11533) all_56_11 = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11534) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (9923), (11511), (11534),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #709.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11535) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11535) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11536) all_56_8 = e3 & op(e1, e1) = e3
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (11536), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11537) all_56_14 = e3 & op(e0, e1) = e3
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11537) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11538) all_56_14 = e3
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11539) op(e0, e1) = e3
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11540) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11540) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11541) all_56_0 = e2 & op(e3, e3) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11541) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11542) op(e3, e3) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11282), (11542), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11543) all_56_1 = e2 & op(e3, e2) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11543) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11544) all_56_1 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11545) all_54_2 = e3
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (11511), (11545) are inconsistent by
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2837.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11546) ~ (all_54_2 = e3)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11547) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11547) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11548) all_54_2 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (11495), (11548) are inconsistent by
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2432.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11549) ~ (all_54_2 = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11550) all_54_2 = e1 | all_54_2 = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11550) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11551) all_54_2 = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (11551) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11552) all_52_8 = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11552) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11553) all_52_8 = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11553) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11554) ~ (all_52_4 = e1)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11553) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11555) ~ (all_52_9 = e1)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11555) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11556) ~ (all_52_9 = e1)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11557) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11557) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11558) all_56_6 = e1 & op(e1, e3) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11558) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11559) op(e1, e3) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11526), (11559), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11560) all_56_7 = e1 & op(e1, e2) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11560) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11561) all_56_7 = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11507) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11562) all_54_1 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (11562) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11563) all_52_4 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11563) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11564) all_52_4 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11564) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11565) ~ (all_52_7 = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11565) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11566) ~ (all_52_7 = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11567) all_54_13 = e3
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (9922), (11567) are inconsistent by
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2486.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11568) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11569) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11569) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11570) all_56_2 = e1 & op(e2, e3) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11570) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11571) op(e2, e3) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11572) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11572) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11573) all_56_0 = e1 & op(e3, e3) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (9930), (11573), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3012.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11574) all_56_1 = e1 & op(e3, e2) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11554), (11574), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #896.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11575) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11575) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11576) all_56_4 = e1 & op(e3, e1) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11576) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11577) all_56_4 = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11568) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11578) all_54_13 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (251), (11566), (11578) are inconsistent by
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2968.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11579) all_54_13 = e1 | all_54_13 = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11580) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11580) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11581) all_56_0 = e2 & op(e3, e3) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11581) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11582) op(e3, e3) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (230), (232),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (11275), (11544), (11577), (11582),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2314.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11583) all_56_2 = e2 & op(e2, e3) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11583) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11584) op(e2, e3) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11571), (11584), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3385.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11585) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11585) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11586) all_56_6 = e2 & op(e1, e3) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11586) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11587) all_56_6 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (376), (11498), (11561), (11587),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #678.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11588) all_56_12 = e2 & op(e0, e3) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11588) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11589) op(e0, e3) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (203), (251), (275), (9920), (11329),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11334), (11349), (11539), (11554), (11579),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11589), (function-axioms) are inconsistent by
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #583.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11590) all_56_9 = e1 & op(e3, e0) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11336), (11590), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11591) all_56_3 = e1 & op(e2, e2) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11591) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11592) op(e2, e2) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (11592), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11593) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11593) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11594) all_56_5 = e1 & op(e2, e1) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11594) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11595) op(e2, e1) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11556), (11595), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #740.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11596) all_56_10 = e1 & op(e2, e0) = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11596) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11597) all_56_10 = e1
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (211), (212), (11345),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11533), (11597) are inconsistent by sub-proof
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2221.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11598) all_54_1 = e1 | all_54_1 = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (11275), (11554), (11598) are inconsistent
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2974.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11599) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (11338), (11498), (11599),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #582.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11600) all_54_2 = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (11276), (11600) are inconsistent by
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2682.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11601) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11601) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11602) all_56_4 = e2 & op(e3, e1) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11602) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11603) all_56_4 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (11498), (11538), (11603),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #726.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11604) all_56_9 = e2 & op(e3, e0) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11604) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11605) op(e3, e0) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11514), (11605), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (11606) all_56_7 = e3 & op(e1, e2) = e3
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9921), (11606), (function-axioms) are
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | (11607) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (376), (11513), (11607),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | | #2401.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (11608) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (216), (376), (11345), (11498), (11608),
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | #889.
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | (11609) ~ (all_54_3 = e3)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | (11610) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (11609) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | (11611) ~ (all_52_12 = e3)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11610) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (11612) all_54_3 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11612) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (11613) all_52_12 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11613) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (11614) all_52_12 = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (11614) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (11615) ~ (all_52_4 = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11614) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (11616) ~ (all_52_13 = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11616) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (11617) ~ (all_52_13 = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (11614) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (11618) ~ (all_52_14 = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11618) implies:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (11619) ~ (all_52_14 = e2)
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (11614) imply:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | (11620) op(e3, e0) = e2
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | |
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/49.99 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | (11621) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11621) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | (11622) all_56_9 = e3 & op(e3, e0) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11622) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | (11623) op(e3, e0) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11620), (11623), (function-axioms) are
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | (11624) all_56_10 = e3 & op(e2, e0) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9924), (11624), (function-axioms) are
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | (11625) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11625) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | (11626) all_56_11 = e3 & op(e1, e0) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11626) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | (11627) all_56_11 = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | (11628) op(e1, e0) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | (11629) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11629) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (11630) all_56_2 = e2 & op(e2, e3) = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11630) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (11631) all_56_2 = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (11632) op(e2, e3) = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11507) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11633) all_54_1 = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (11615), (11633) are inconsistent by
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2701.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634) ~ (all_54_1 = e2)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11635) all_54_1 = e1 | all_54_1 = e0
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11636) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (9920), (11282), (11636),
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2934.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11637) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11637) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638) all_56_4 = e3 & op(e3, e1) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11638) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11639) all_56_4 = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11640) op(e3, e1) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11641) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11641) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11642) all_56_6 = e0 & op(e1, e3) = e0
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11642) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11643) op(e1, e3) = e0
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11273), (11643), (function-axioms) are
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3353.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11644) all_56_7 = e0 & op(e1, e2) = e0
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11644) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11645) all_56_7 = e0
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11646) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11646) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11647) all_56_0 = e2 & op(e3, e3) = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11647) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11648) all_56_0 = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11649) op(e3, e3) = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (235),
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11631), (11648), (11649), (function-axioms) are
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3282.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11650) all_56_1 = e2 & op(e3, e2) = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11650) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11651) all_56_1 = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11635) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11652) all_54_1 = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (11652) imply:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11653) all_52_4 = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11653) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654) all_52_4 = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11654) imply:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11655) ~ (all_52_6 = e1)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11655) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11656) ~ (all_52_6 = e1)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11654) imply:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11657) ~ (all_52_7 = e1)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (158), (162), (226), (9929), (11334),
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11651), (11656), (function-axioms) are
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #581.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11658) all_54_1 = e0
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (11275), (11658) are inconsistent by
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2975.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11659) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11659) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11660) all_56_4 = e2 & op(e3, e1) = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11660) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11661) all_56_4 = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (11498), (11661), (function-axioms)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11662) all_56_9 = e2 & op(e3, e0) = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11662) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663) all_56_9 = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11664) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11664) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11665) all_56_6 = e1 & op(e1, e3) = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11665) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11666) all_56_6 = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11667) op(e1, e3) = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11668) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11668) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11669) all_56_4 = e1 & op(e3, e1) = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11669) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11670) op(e3, e1) = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11640), (11670), (function-axioms) are
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3060.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11671) all_56_5 = e1 & op(e2, e1) = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11671) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11672) all_56_5 = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11673) op(e2, e1) = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11674) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11282), (11632), (11674),
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #580.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11675) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11675) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11676) all_56_6 = e3 & op(e1, e3) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11676) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11677) op(e1, e3) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11667), (11677), (function-axioms) are
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11678) all_56_12 = e3 & op(e0, e3) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11678) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11679) all_56_12 = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11680) op(e0, e3) = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11681) all_54_7 = e3
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9924), (11681) are inconsistent by
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2952.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11682) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11682) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11683) all_54_7 = e2
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (11617), (11683) are inconsistent by
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2951.
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11684) ~ (all_54_7 = e2)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11685) all_54_7 = e1 | all_54_7 = e0
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11504) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11686) ~ (all_50_0 = e1) & op(e3, all_50_1) = all_50_0 &
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_50_1 & $i(all_50_0) &
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11686) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11687) op(e3, e0) = all_50_1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11635) gives:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11688) all_54_1 = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (11688) imply:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11689) all_52_4 = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11689) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11690) all_52_4 = e1
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11690) imply:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11691) ~ (all_52_6 = e1)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11691) implies:
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11692) ~ (all_52_6 = e1)
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.15/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11690) imply:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11693) ~ (all_52_7 = e1)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11694) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (232), (234),
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (11281), (11282), (11611), (11672),
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11694), (function-axioms) are inconsistent by
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11695) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11695) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11696) all_56_8 = e0 & op(e1, e1) = e0
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11696) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11697) op(e1, e1) = e0
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11498), (11697), (function-axioms) are
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11698) all_56_14 = e0 & op(e0, e1) = e0
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11698) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11699) all_56_14 = e0
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11700) op(e0, e1) = e0
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11685) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11701) all_54_7 = e1
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (11337), (11701) are inconsistent by
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2945.
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11702) all_54_7 = e0
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (11702) imply:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11703) all_52_13 = e0
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11703) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11704) all_52_13 = e0
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (11704) imply:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11705) ~ (all_52_14 = e0)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11705) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11706) ~ (all_52_14 = e0)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11617), (11704) imply:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11707) ~ (e2 = e0)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11708) all_54_11 = e3
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (11708) imply:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11709) all_52_14 = e3
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11709) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11710) all_52_14 = e3
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (11710) imply:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11711) ~ (all_52_2 = e3)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11712) all_54_8 = e3
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (11711), (11712) are inconsistent by
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2703.
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11713) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11714) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11714) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11715) all_56_1 = e1 & op(e3, e2) = e1
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11715) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11716) all_56_1 = e1
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11717) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11717) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11718) all_56_1 = e2 & op(e3, e2) = e2
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11718) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11719) all_56_1 = e2
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (158), (162), (226), (9929), (11334),
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11692), (11719), (function-axioms) are
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #581.
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11720) all_56_3 = e2 & op(e2, e2) = e2
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11720) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11721) op(e2, e2) = e2
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (11721), (function-axioms) are
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11722) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11722) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11723) all_56_7 = e2 & op(e1, e2) = e2
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11723) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11724) all_56_7 = e2
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (213), (214), (11498),
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11627), (11724), (function-axioms) are
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3084.
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11725) all_56_13 = e2 & op(e0, e2) = e2
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11725) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11726) all_56_13 = e2
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11269) gives:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11727) ~ (all_16_0 = e2) & op(e3, all_16_1) = all_16_0 &
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11727) implies:
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11728) op(e3, e0) = all_16_1
% 254.48/50.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (136), (159),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (168), (219), (226), (228), (229),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (234), (236), (239), (242), (262),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (9917), (9930), (11273), (11274), (11275),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282), (11333), (11346), (11494), (11498),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11501), (11504), (11507), (11611), (11615),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11620), (11632), (11635), (11639), (11640),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663), (11666), (11672), (11673), (11679),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11680), (11687), (11699), (11700), (11713),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11716), (11726), (11728), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #577.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11729) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11729) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11730) op(e3, e0) = all_16_1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (136), (159),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (168), (219), (226), (228), (229),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (234), (236), (239), (242), (262),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (9917), (9930), (11273), (11274), (11275),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282), (11333), (11346), (11494), (11498),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11501), (11504), (11507), (11611), (11615),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11620), (11632), (11635), (11639), (11640),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663), (11666), (11672), (11673), (11679),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11680), (11687), (11699), (11700), (11713),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11716), (11726), (11730), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #577.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11731) all_56_3 = e1 & op(e2, e2) = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11731) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11732) op(e2, e2) = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (11732), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11733) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (11334), (11692), (11733),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3080.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11734) ~ (all_54_11 = e3)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (253), (11734) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11735) ~ (all_52_14 = e3)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11628), (11735), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3141.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11736) all_54_1 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (11275), (11736) are inconsistent by
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2975.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11737) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11737) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11738) ~ (all_50_1 = e2)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11739) op(e3, e0) = all_50_1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11620), (11738), (11739), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2457.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11740) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (11335), (11498), (11740),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2283.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11741) all_56_7 = e1 & op(e1, e2) = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11741) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11742) all_56_7 = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11645), (11742) are inconsistent by
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3348.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11743) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (11338), (11498), (11743),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #582.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11744) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11744) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11745) all_56_8 = e0 & op(e1, e1) = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11745) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11746) op(e1, e1) = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11498), (11746), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11747) all_56_11 = e0 & op(e1, e0) = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11747) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11748) all_56_11 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11627), (11748) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11749) e3 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11749) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11750) e3 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11639), (11750) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11751) all_56_4 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (232), (234),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (11281), (11282), (11611), (11751),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2589.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11752) all_56_9 = e3 & op(e3, e0) = e3
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11752) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11753) op(e3, e0) = e3
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11620), (11753), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (11754) all_56_3 = e2 & op(e2, e2) = e2
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11754) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (11755) op(e2, e2) = e2
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (11755), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | (11756) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (11496), (11617), (11756),
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | | #3013.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | (11757) all_56_15 = e3 & op(e0, e0) = e3
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11757) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | (11758) all_56_15 = e3
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11345), (11758) are inconsistent by
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3193.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | (11759) all_54_3 = e1 | all_54_3 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (11277), (11336), (11759) are inconsistent
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2189.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | (11760) all_18_2 = e0
% 254.48/50.01 | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | COMBINE_EQS: (328), (11760) imply:
% 254.48/50.01 | | | | | | | | | | | | (11761) all_6_2 = e0
% 254.48/50.01 | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | SIMP: (11761) implies:
% 254.48/50.01 | | | | | | | | | | | | (11762) all_6_2 = e0
% 254.48/50.01 | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | REDUCE: (363), (11762) imply:
% 254.48/50.01 | | | | | | | | | | | | (11763) ~ (all_52_6 = e0)
% 254.48/50.01 | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | REDUCE: (366), (11762) imply:
% 254.48/50.01 | | | | | | | | | | | | (11764) ~ (all_52_9 = e0)
% 254.48/50.01 | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | REDUCE: (370), (11762) imply:
% 254.48/50.01 | | | | | | | | | | | | (11765) ~ (all_52_14 = e0)
% 254.48/50.01 | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | REDUCE: (376), (11762) imply:
% 254.48/50.01 | | | | | | | | | | | | (11766) ~ (e3 = e0)
% 254.48/50.01 | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | BETA: splitting (225) gives:
% 254.48/50.01 | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | (11767) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 254.48/50.01 | | | | | | | | | | | | | & op(e2, e2) = e0)
% 254.48/50.01 | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | BETA: splitting (11767) gives:
% 254.48/50.01 | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | (11768) all_56_1 = e0 & op(e3, e2) = e0
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | REF_CLOSE: (170), (11275), (11768), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | (11769) all_56_3 = e0 & op(e2, e2) = e0
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | REF_CLOSE: (7), (9928), (11769) are inconsistent by sub-proof
% 254.48/50.01 | | | | | | | | | | | | | | #1471.
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | (11770) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 254.48/50.01 | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 254.48/50.01 | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | BETA: splitting (11770) gives:
% 254.48/50.01 | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | (11771) all_56_7 = e0 & op(e1, e2) = e0
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | REF_CLOSE: (162), (11763), (11771), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | inconsistent by sub-proof #2865.
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | (11772) all_56_13 = e0 & op(e0, e2) = e0
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | ALPHA: (11772) implies:
% 254.48/50.01 | | | | | | | | | | | | | | (11773) all_56_13 = e0
% 254.48/50.01 | | | | | | | | | | | | | | (11774) op(e0, e2) = e0
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 254.48/50.01 | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | (11775) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 254.48/50.01 | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 254.48/50.01 | | | | | | | | | | | | | | | (9928), (11281), (11282), (11775),
% 254.48/50.01 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.01 | | | | | | | | | | | | | | | #1470.
% 254.48/50.01 | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | (11776) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 254.48/50.01 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 254.48/50.01 | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | BETA: splitting (11776) gives:
% 254.48/50.01 | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | (11777) all_56_5 = e0 & op(e2, e1) = e0
% 254.48/50.01 | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | ALPHA: (11777) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | (11778) op(e2, e1) = e0
% 254.48/50.01 | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11764), (11778), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 254.48/50.01 | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | (11779) all_56_10 = e0 & op(e2, e0) = e0
% 254.48/50.01 | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | ALPHA: (11779) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | (11780) all_56_10 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | (11781) op(e2, e0) = e0
% 254.48/50.01 | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | (11782) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 254.48/50.01 | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (11273), (11763), (11782),
% 254.48/50.01 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.01 | | | | | | | | | | | | | | | | | #2864.
% 254.48/50.01 | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | (11783) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 254.48/50.01 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 254.48/50.01 | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | BETA: splitting (11783) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | (11784) all_56_8 = e0 & op(e1, e1) = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | ALPHA: (11784) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | (11785) all_56_8 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | (11786) op(e1, e1) = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 254.48/50.01 | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (11774) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | (11787) all_52_7 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 254.48/50.01 | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (11781) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | (11788) all_52_13 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | REDUCE: (145), (11788) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | (11789) ~ (all_52_1 = e0)
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | REDUCE: (125), (11787) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | (11790) ~ (all_52_11 = e0)
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | SIMP: (11790) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | (11791) ~ (all_52_11 = e0)
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | REDUCE: (373), (11788) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | (11792) ~ (all_4_2 = e0)
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | SIMP: (11792) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | (11793) ~ (all_4_2 = e0)
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | (11794) all_54_15 = e3
% 254.48/50.01 | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (9932), (11794) are inconsistent by
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | sub-proof #3475.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | (11795) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (11795) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | (11796) all_54_15 = e2
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (11796) are inconsistent by
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | sub-proof #3474.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | (11797) ~ (all_54_15 = e2)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | (11798) all_54_15 = e1 | all_54_15 = e0
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11798) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | (11799) all_54_15 = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (11799) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | (11800) all_4_2 = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | SIMP: (11800) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | (11801) all_4_2 = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (11801) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | (11802) ~ (all_52_3 = e1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (11801) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | (11803) ~ (all_52_11 = e1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (11801) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | (11804) ~ (all_52_12 = e1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (11801) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | (11805) ~ (all_52_14 = e1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (11801) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | (11806) ~ (e2 = e1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | (11807) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11807) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | (11808) all_56_9 = e1 & op(e3, e0) = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11804), (11808), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | (11809) all_56_10 = e1 & op(e2, e0) = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11809) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | (11810) all_56_10 = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11780), (11810) are inconsistent by
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3189.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | (11811) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11811) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | (11812) all_56_11 = e1 & op(e1, e0) = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11812) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | (11813) op(e1, e0) = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11805), (11813), (function-axioms) are
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | (11814) all_56_15 = e1 & op(e0, e0) = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11814) implies:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | (11815) all_56_15 = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | (11816) op(e0, e0) = e1
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | (11817) ~ (all_50_2 = e0)
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11272), (11817) imply:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | (11818) $false
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11818) is inconsistent.
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | (11819) ( ~ (all_50_0 = e1) & op(e3, all_50_1) = all_50_0
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | (11820) all_54_4 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (9919), (11820) are inconsistent by
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3359.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | (11821) ~ (all_54_4 = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | (11822) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11823) all_54_6 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (11823) imply:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11824) all_52_9 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9923), (11824) imply:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11825) $false
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11825) is inconsistent.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11826) ~ (all_54_6 = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11827) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11828) all_54_12 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (11828) imply:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11829) all_52_3 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11829) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11830) all_52_3 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (11830) imply:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11831) ~ (all_52_2 = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (11830) imply:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11832) ~ (all_52_11 = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11832) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11833) ~ (all_52_11 = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (11830) imply:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11834) op(e0, e3) = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11835) all_54_14 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11833), (11835) are inconsistent by
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3151.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11836) ~ (all_54_14 = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11837) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11838) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11838) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11839) all_56_4 = e3 & op(e3, e1) = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11839) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11840) all_56_4 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11841) op(e3, e1) = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11842) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11842) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11843) all_56_4 = e1 & op(e3, e1) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11843) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11844) op(e3, e1) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11841), (11844), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3060.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11845) all_56_5 = e1 & op(e2, e1) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11845) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11846) all_56_5 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11847) op(e2, e1) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11848) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (9919), (11282), (11848),
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #576.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11849) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11849) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11850) all_56_6 = e3 & op(e1, e3) = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11850) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11851) all_56_6 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11852) op(e1, e3) = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11853) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11853) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11854) all_56_6 = e1 & op(e1, e3) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11854) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11855) op(e1, e3) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11852), (11855), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11856) all_56_7 = e1 & op(e1, e2) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11856) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11857) all_56_7 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11858) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11858) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11859) all_56_1 = e2 & op(e3, e2) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11859) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11860) all_56_1 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11861) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11861) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11862) all_56_2 = e2 & op(e2, e3) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11862) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11863) op(e2, e3) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11864) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11864) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11865) all_56_0 = e1 & op(e3, e3) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11865) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11866) all_56_0 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (11834), (11851), (11863),
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11866), (function-axioms) are inconsistent by
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #574.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11867) all_56_1 = e1 & op(e3, e2) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11860), (11867) are inconsistent by
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2994.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11868) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (168), (219), (220),
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (11786), (11804), (11846), (11847),
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11868), (function-axioms) are inconsistent by
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #573.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11869) all_56_3 = e2 & op(e2, e2) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11869) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11870) op(e2, e2) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (11870), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11871) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (11781), (11847), (11871),
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #572.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11872) all_56_3 = e2 & op(e2, e2) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11872) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11873) op(e2, e2) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (11873), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11874) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11874) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11875) all_56_7 = e2 & op(e1, e2) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11857), (11875) are inconsistent by
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2121.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11876) all_56_13 = e2 & op(e0, e2) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11876) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11877) op(e0, e2) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11774), (11877), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11878) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11878) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11879) all_56_8 = e1 & op(e1, e1) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11879) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11880) all_56_8 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11785), (11880) imply:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11881) e1 = e0
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11846), (11881) imply:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11882) all_56_5 = e0
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (11785),
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11786), (11840), (11882), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2542.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11883) all_56_11 = e1 & op(e1, e0) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11883) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11884) op(e1, e0) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11805), (11884), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11885) all_56_12 = e3 & op(e0, e3) = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11885) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11886) all_56_12 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11887) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11887) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11888) all_56_2 = e2 & op(e2, e3) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11888) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11889) all_56_2 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11890) op(e2, e3) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11891) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11891) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11892) all_56_6 = e3 & op(e1, e3) = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (45), (159), (231), (235),
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930), (11282), (11802), (11886), (11889),
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11890), (11892), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2213.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11893) all_56_7 = e3 & op(e1, e2) = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9921), (11893), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11894) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11894) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11895) all_56_8 = e3 & op(e1, e1) = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (11895), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11896) all_56_11 = e3 & op(e1, e0) = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11896) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11897) all_56_11 = e3
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11898) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11898) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11899) all_56_4 = e2 & op(e3, e1) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11840), (11899) are inconsistent by
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3230.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11900) all_56_5 = e2 & op(e2, e1) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11900) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11901) op(e2, e1) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11847), (11901), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2789.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11902) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11902) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11903) all_56_8 = e2 & op(e1, e1) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11903) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11904) op(e1, e1) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11786), (11904), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11905) all_56_14 = e2 & op(e0, e1) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11905) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11906) all_56_14 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11907) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11907) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11908) all_56_9 = e2 & op(e3, e0) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11908) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11909) all_56_9 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11910) op(e3, e0) = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11911) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11911) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11912) all_56_0 = e1 & op(e3, e3) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11912) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11913) all_56_0 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (222),
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (11273), (11274), (11780),
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11781), (11913), (function-axioms) are
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #790.
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11914) all_56_1 = e1 & op(e3, e2) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11914) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11915) all_56_1 = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11916) op(e3, e2) = e1
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11837) gives:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11917) all_54_14 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (11917) imply:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11918) all_52_11 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11918) implies:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11919) all_52_11 = e2
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11919) imply:
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11920) ~ (all_52_8 = e2)
% 254.48/50.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11919) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11921) ~ (all_52_9 = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11833), (11919) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11922) ~ (e3 = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11923) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11923) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11924) all_56_1 = e2 & op(e3, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11924) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11925) all_56_1 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11915), (11925) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11926) e2 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11926) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11927) e2 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11906), (11927) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11928) all_56_14 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (11786), (11840), (11846),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11928), (function-axioms) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2113.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11929) all_56_3 = e2 & op(e2, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11929) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11930) op(e2, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (11930), (function-axioms) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11931) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11931) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11932) all_56_7 = e2 & op(e1, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11932) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11933) op(e1, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11827) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11934) all_54_6 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (11921), (11934) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3130.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11935) all_54_6 = e1 | all_54_6 = e0
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11935) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11936) all_54_6 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (11936) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11937) all_52_9 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11937) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11938) all_52_9 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (11938) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11939) ~ (all_52_1 = e1)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11938) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11940) ~ (all_52_8 = e1)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11941) all_54_2 = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (11941) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11942) all_52_8 = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11942) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11943) all_52_8 = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (11943) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11944) ~ (all_52_12 = e3)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11944) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11945) ~ (all_52_12 = e3)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11822) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11946) all_54_4 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11946) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11947) all_52_1 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11947) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11948) all_52_1 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11948) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11949) ~ (all_52_2 = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11949) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11950) ~ (all_52_2 = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11951) all_54_8 = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (11831), (11951) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2703.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11952) ~ (all_54_8 = e3)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11953) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11953) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11954) all_54_8 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (11950), (11954) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2699.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11955) ~ (all_54_8 = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11956) all_54_8 = e1 | all_54_8 = e0
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11269) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11957) ~ (all_16_0 = e2) & op(e3, all_16_1) = all_16_0 &
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11957) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11958) op(e3, e0) = all_16_1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (143), (159), (160), (162), (168),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (241), (262), (11273), (11274),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282), (11781), (11805), (11816), (11819),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11831), (11834), (11847), (11909), (11910),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11915), (11916), (11933), (11945), (11950),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11956), (11958), (function-axioms) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #569.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11959) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11959) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11960) op(e3, e0) = all_16_1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (143), (159), (160), (162), (168),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (241), (262), (11273), (11274),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282), (11781), (11805), (11816), (11819),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11831), (11834), (11847), (11909), (11910),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11915), (11916), (11933), (11945), (11950),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11956), (11960), (function-axioms) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #569.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11961) all_54_4 = e1 | all_54_4 = e0
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11789), (11939), (11961) are inconsistent
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2876.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11962) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (11276), (11920), (11940), (11962) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2431.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11963) all_54_6 = e0
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (11764), (11963) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3128.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11964) all_56_13 = e2 & op(e0, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11964) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11965) op(e0, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11774), (11965), (function-axioms) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11966) all_54_14 = e1 | all_54_14 = e0
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11791), (11803), (11966) are inconsistent
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3122.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11967) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (168), (219), (220),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (11786), (11804), (11846), (11847),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11967), (function-axioms) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #573.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11968) all_56_10 = e2 & op(e2, e0) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11968) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11969) op(e2, e0) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11781), (11969), (function-axioms) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11970) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11970) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11971) all_56_11 = e2 & op(e1, e0) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11897), (11971) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3215.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11972) all_56_15 = e2 & op(e0, e0) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11972) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11973) all_56_15 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11815), (11973) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11974) e2 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11906), (11974) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11975) all_56_14 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (11786), (11840), (11846),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11975), (function-axioms) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2113.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11976) all_56_3 = e2 & op(e2, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11976) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11977) op(e2, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (11977), (function-axioms) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11978) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (11781), (11847), (11978),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #572.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11979) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11979) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11980) all_56_8 = e1 & op(e1, e1) = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11785), (11980) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3057.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11981) all_56_14 = e1 & op(e0, e1) = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11981) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11982) all_56_14 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (208), (209), (11773),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11774), (11815), (11982), (function-axioms) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2725.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11983) all_56_5 = e3 & op(e2, e1) = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (120), (121), (123), (134), (165), (168),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (202), (217), (218), (219), (236), (250),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264), (274), (9923), (11276), (11282), (11764),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11791), (11827), (11837), (11983),
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1286.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11984) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11984) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11985) all_56_8 = e3 & op(e1, e1) = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (11985), (function-axioms) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11986) all_56_14 = e3 & op(e0, e1) = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11986) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11987) all_56_14 = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11988) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11988) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989) all_56_6 = e3 & op(e1, e3) = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11989) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11990) all_56_6 = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11991) op(e1, e3) = e3
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11992) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11992) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11993) all_56_6 = e1 & op(e1, e3) = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11993) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11994) op(e1, e3) = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11991), (11994), (function-axioms) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11995) all_56_7 = e1 & op(e1, e2) = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11995) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11996) all_56_7 = e1
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11997) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11997) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11998) all_56_6 = e2 & op(e1, e3) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11998) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11999) all_56_6 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11990), (11999) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3251.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12000) all_56_7 = e2 & op(e1, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12000) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12001) all_56_7 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11996), (12001) are inconsistent by
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3093.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12002) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12002) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12003) all_56_8 = e2 & op(e1, e1) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12003) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12004) op(e1, e1) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11786), (12004), (function-axioms) are
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3335.
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12005) all_56_11 = e2 & op(e1, e0) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12005) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12006) all_56_11 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12007) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12007) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12008) all_56_1 = e2 & op(e3, e2) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12008) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12009) all_56_1 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12010) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12010) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12011) all_56_12 = e2 & op(e0, e3) = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12011) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12012) all_56_12 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11837) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12013) all_54_14 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (12013) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12014) all_52_11 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12014) implies:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12015) all_52_11 = e2
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (12015) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12016) ~ (all_52_9 = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11833), (12015) imply:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12017) ~ (e3 = e2)
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12018) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12018) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12019) all_56_4 = e2 & op(e3, e1) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12019) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12020) all_56_4 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12021) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12021) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12022) all_56_4 = e1 & op(e3, e1) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12020), (12022) are inconsistent by
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2862.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12023) all_56_5 = e1 & op(e2, e1) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12023) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12024) op(e2, e1) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12025) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12025) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12026) all_56_2 = e2 & op(e2, e3) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12026) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12027) op(e2, e3) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12028) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12028) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12029) all_56_0 = e1 & op(e3, e3) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12029) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12030) all_56_0 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (11834), (11990), (12027),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12030), (function-axioms) are inconsistent by
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #574.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12031) all_56_1 = e1 & op(e3, e2) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12031) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12032) all_56_1 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12009), (12032) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12033) e2 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12020), (12033) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12034) all_56_4 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (11786), (11987), (12024),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12034), (function-axioms) are inconsistent by
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2476.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12035) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12035) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12036) all_56_4 = e1 & op(e3, e1) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12036) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12037) all_56_4 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (11786), (11987), (12024),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12037), (function-axioms) are inconsistent by
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2476.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12038) all_56_9 = e1 & op(e3, e0) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11804), (12038), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12039) all_56_3 = e2 & op(e2, e2) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12039) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12040) op(e2, e2) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (12040), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12041) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12041) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12042) all_56_5 = e2 & op(e2, e1) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12042) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12043) all_56_5 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (11785), (11987), (12020),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12043) are inconsistent by sub-proof #2225.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12044) all_56_10 = e2 & op(e2, e0) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12044) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12045) op(e2, e0) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11781), (12045), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12046) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12046) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12047) all_56_8 = e1 & op(e1, e1) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12047) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12048) all_56_8 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11785), (12048) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12049) e1 = e0
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11996), (12049) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12050) all_56_7 = e0
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (214),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (226), (227),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (376), (9928), (11786), (11791), (11990),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12006), (12050), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2571.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12051) all_56_14 = e1 & op(e0, e1) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12051) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12052) all_56_14 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (209), (11773), (11815), (12012),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12052) are inconsistent by sub-proof #2754.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12053) all_56_5 = e2 & op(e2, e1) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12053) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12054) op(e2, e1) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12016), (12054), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3465.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12055) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12055) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12056) all_56_8 = e2 & op(e1, e1) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12056) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12057) op(e1, e1) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (376), (12006), (12057), (function-axioms)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #890.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12058) all_56_14 = e2 & op(e0, e1) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12058) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12059) all_56_14 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11987), (12059) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12060) e3 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11990), (12060) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12061) all_56_6 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (11281),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282), (12012), (12061), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2719.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12062) all_54_14 = e1 | all_54_14 = e0
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11791), (11803), (12062) are inconsistent
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3122.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12063) all_56_13 = e2 & op(e0, e2) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12063) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12064) op(e0, e2) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11774), (12064), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12065) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12065) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12066) all_56_14 = e2 & op(e0, e1) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11987), (12066) are inconsistent by
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3274.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12067) all_56_15 = e2 & op(e0, e0) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11815), (12067) are inconsistent by
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3000.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12068) all_56_3 = e2 & op(e2, e2) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12068) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12069) op(e2, e2) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (12069), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12070) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12070) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12071) all_56_7 = e2 & op(e1, e2) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12071) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12072) all_56_7 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (214), (11785), (11990), (12006),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12072) are inconsistent by sub-proof #2247.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12073) all_56_13 = e2 & op(e0, e2) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12073) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12074) op(e0, e2) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11774), (12074), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12075) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (11785), (11805), (12075),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3049.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12076) all_56_7 = e3 & op(e1, e2) = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9921), (12076), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12077) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12077) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12078) all_56_8 = e3 & op(e1, e1) = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (12078), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12079) all_56_11 = e3 & op(e1, e0) = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12079) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12080) all_56_11 = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12081) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (9919), (11282), (12081),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #576.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12082) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12082) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12083) all_56_6 = e3 & op(e1, e3) = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12083) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12084) all_56_6 = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12085) op(e1, e3) = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12086) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12086) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12087) all_56_6 = e1 & op(e1, e3) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12087) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12088) op(e1, e3) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12085), (12088), (function-axioms) are
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12089) all_56_7 = e1 & op(e1, e2) = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12089) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12090) all_56_7 = e1
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12091) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12091) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12092) all_56_6 = e2 & op(e1, e3) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12084), (12092) are inconsistent by
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3238.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12093) all_56_7 = e2 & op(e1, e2) = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12093) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12094) all_56_7 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12090), (12094) are inconsistent by
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3093.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12095) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11786), (12080), (12095),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #618.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12096) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (11785), (11805), (12096),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3049.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12097) all_56_12 = e3 & op(e0, e3) = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12097) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12098) all_56_12 = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (11774), (11815), (11987),
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12098), (function-axioms) are inconsistent by
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #605.
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12099) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12099) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12100) all_54_12 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (12100) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12101) all_52_3 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12101) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12102) all_52_3 = e2
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (12102) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12103) ~ (all_52_1 = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (12102) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12104) ~ (all_52_11 = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12104) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12105) ~ (all_52_11 = e2)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12106) all_54_14 = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (12106) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12107) all_52_11 = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12107) implies:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12108) all_52_11 = e3
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (12108) imply:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12109) ~ (all_52_8 = e3)
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12110) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (9929), (12103), (12110),
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #568.
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12111) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12111) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12112) all_56_5 = e2 & op(e2, e1) = e2
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12112) implies:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12113) all_56_5 = e2
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12114) op(e2, e1) = e2
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12115) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12115) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12116) all_56_2 = e1 & op(e2, e3) = e1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12116) implies:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12117) all_56_2 = e1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12118) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12118) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12119) all_56_0 = e3 & op(e3, e3) = e3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12119) implies:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12120) op(e3, e3) = e3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11282), (12120), (function-axioms) are
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3246.
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12121) all_56_2 = e3 & op(e2, e3) = e3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12121) implies:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12122) all_56_2 = e3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (9929), (11780), (12113),
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12122), (function-axioms) are inconsistent by
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2504.
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12123) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12123) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12124) all_56_6 = e3 & op(e1, e3) = e3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12124) implies:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12125) op(e1, e3) = e3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12126) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12126) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12127) all_56_4 = e1 & op(e3, e1) = e1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12127) implies:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12128) op(e3, e1) = e1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11822) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12129) all_54_4 = e2
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (12103), (12129) are inconsistent by
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3355.
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12130) all_54_4 = e1 | all_54_4 = e0
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12130) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12131) all_54_4 = e1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (12131) imply:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12132) all_52_1 = e1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12132) implies:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12133) all_52_1 = e1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (12133) imply:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12134) ~ (all_52_2 = e1)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12134) implies:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12135) ~ (all_52_2 = e1)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9919), (12133) imply:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12136) ~ (e3 = e1)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12137) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12137) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12138) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9929), (12135), (12138), (function-axioms)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #702.
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12139) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11781), (12139), (function-axioms) are
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2722.
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12140) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12140) gives:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12141) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12125), (12128), (12141), (function-axioms)
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2242.
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12142) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12142) gives:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12143) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11282), (12143), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2766.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12144) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (160), (11274), (11781), (11805),
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11816), (12144), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12145) all_54_4 = e0
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11789), (12145) are inconsistent by
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2877.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12146) all_56_5 = e1 & op(e2, e1) = e1
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12146) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12147) op(e2, e1) = e1
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12114), (12147), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2789.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12148) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12148) gives:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12149) all_56_8 = e1 & op(e1, e1) = e1
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (9929), (11780), (11785),
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12114), (12117), (12149), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #566.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12150) all_56_14 = e1 & op(e0, e1) = e1
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12150) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12151) all_56_14 = e1
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (208), (209), (11773),
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11774), (11815), (12151), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2725.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12152) all_56_12 = e3 & op(e0, e3) = e3
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12152) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12153) all_56_12 = e3
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12154) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12154) gives:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12155) all_56_4 = e3 & op(e3, e1) = e3
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12155) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12156) op(e3, e1) = e3
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12109), (12156), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3466.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12157) all_56_5 = e3 & op(e2, e1) = e3
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12157) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12158) op(e2, e1) = e3
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12114), (12158), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3382.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12159) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12159) gives:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12160) all_56_8 = e3 & op(e1, e1) = e3
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (12160), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12161) all_56_14 = e3 & op(e0, e1) = e3
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12161) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12162) all_56_14 = e3
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12163) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12163) gives:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12164) all_56_12 = e2 & op(e0, e3) = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12164) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12165) all_56_12 = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12153), (12165) imply:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12166) e3 = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12162), (12166) imply:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12167) all_56_14 = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (11785),
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12113), (12167) are inconsistent by sub-proof
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2738.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12168) all_56_13 = e2 & op(e0, e2) = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12168) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12169) op(e0, e2) = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (158), (252), (11274), (11802), (12099),
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12169), (function-axioms) are inconsistent by
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3001.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12170) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12170) gives:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12171) all_56_14 = e2 & op(e0, e1) = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12171) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12172) all_56_14 = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (11785),
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12113), (12172) are inconsistent by sub-proof
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2738.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12173) all_56_15 = e2 & op(e0, e0) = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11815), (12173) are inconsistent by
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3000.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12174) all_56_3 = e1 & op(e2, e2) = e1
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12174) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12175) op(e2, e2) = e1
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12175), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12176) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11780), (12114), (12176),
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2779.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12177) all_56_10 = e2 & op(e2, e0) = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12177) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12178) op(e2, e0) = e2
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11781), (12178), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12179) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11791), (11803), (12105), (12179) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3121.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12180) all_54_12 = e1 | all_54_12 = e0
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (11274), (11802), (12180) are inconsistent
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3002.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | (12181) all_54_15 = e0
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (11793), (12181) are inconsistent by
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | | sub-proof #2676.
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | (12182) all_56_11 = e0 & op(e1, e0) = e0
% 254.48/50.06 | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | ALPHA: (12182) implies:
% 254.48/50.06 | | | | | | | | | | | | | | | | | | (12183) op(e1, e0) = e0
% 254.48/50.06 | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11765), (12183), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 254.48/50.06 | | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | (12184) all_56_1 = e0 & op(e3, e2) = e0
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | REF_CLOSE: (170), (11275), (12184), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | inconsistent by sub-proof #2674.
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | (12185) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 254.48/50.06 | | | | | | | | | | & op(e3, e0) = e0)
% 254.48/50.06 | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | BETA: splitting (12185) gives:
% 254.48/50.06 | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | (12186) all_56_4 = e0 & op(e3, e1) = e0
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | REF_CLOSE: (169), (11276), (12186), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | inconsistent by sub-proof #2495.
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | (12187) all_56_9 = e0 & op(e3, e0) = e0
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | REF_CLOSE: (168), (11277), (12187), (function-axioms) are
% 254.48/50.06 | | | | | | | | | | | inconsistent by sub-proof #3331.
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | End of split
% 254.48/50.06 | | | | | | | | |
% 254.48/50.06 | | | | | | | | End of split
% 254.48/50.06 | | | | | | | |
% 254.48/50.06 | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | |
% 254.48/50.06 | | | | | | | | (12188) all_12_2 = e3
% 254.48/50.06 | | | | | | | | (12189) ( ~ (all_12_0 = e1) & op(e0, all_12_1) = all_12_0 &
% 254.48/50.06 | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 254.48/50.06 | | | | | | | | $i(all_12_1)) | ( ~ (all_12_1 = e2) & op(e0, e3) =
% 254.48/50.06 | | | | | | | | all_12_1 & $i(all_12_1))
% 254.48/50.06 | | | | | | | |
% 254.48/50.06 | | | | | | | | COMBINE_EQS: (334), (12188) imply:
% 254.48/50.06 | | | | | | | | (12190) all_4_2 = e3
% 254.48/50.06 | | | | | | | |
% 254.48/50.06 | | | | | | | | COMBINE_EQS: (335), (12190) imply:
% 254.48/50.06 | | | | | | | | (12191) all_26_2 = e3
% 254.48/50.06 | | | | | | | |
% 254.48/50.06 | | | | | | | | REDUCE: (372), (12190) imply:
% 254.48/50.06 | | | | | | | | (12192) ~ (all_52_12 = e3)
% 254.48/50.06 | | | | | | | |
% 254.48/50.06 | | | | | | | | REDUCE: (374), (12190) imply:
% 254.48/50.06 | | | | | | | | (12193) ~ (all_52_14 = e3)
% 254.48/50.06 | | | | | | | |
% 254.48/50.06 | | | | | | | | BETA: splitting (220) gives:
% 254.48/50.06 | | | | | | | |
% 254.48/50.06 | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | |
% 254.48/50.06 | | | | | | | | | (12194) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 254.48/50.06 | | | | | | | | | & op(e2, e1) = e3)
% 254.48/50.06 | | | | | | | | |
% 254.48/50.06 | | | | | | | | | BETA: splitting (12194) gives:
% 254.48/50.06 | | | | | | | | |
% 254.48/50.06 | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | (12195) all_56_4 = e3 & op(e3, e1) = e3
% 254.48/50.06 | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | ALPHA: (12195) implies:
% 254.48/50.06 | | | | | | | | | | (12196) all_56_4 = e3
% 254.48/50.06 | | | | | | | | | | (12197) op(e3, e1) = e3
% 254.48/50.06 | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | BETA: splitting (216) gives:
% 254.48/50.06 | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | (12198) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 254.48/50.06 | | | | | | | | | | | & op(e1, e2) = e3)
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | BETA: splitting (12198) gives:
% 254.48/50.06 | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | (12199) all_56_6 = e3 & op(e1, e3) = e3
% 254.48/50.06 | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | ALPHA: (12199) implies:
% 254.48/50.06 | | | | | | | | | | | | (12200) all_56_6 = e3
% 254.48/50.06 | | | | | | | | | | | | (12201) op(e1, e3) = e3
% 254.48/50.06 | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | BETA: splitting (212) gives:
% 254.48/50.06 | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | Case 1:
% 254.48/50.06 | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | (12202) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 254.48/50.06 | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 254.48/50.06 | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | | REF_CLOSE: (164), (168), (9924), (12192), (12202),
% 254.48/50.06 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.06 | | | | | | | | | | | | | #3006.
% 254.48/50.06 | | | | | | | | | | | | |
% 254.48/50.06 | | | | | | | | | | | | Case 2:
% 254.48/50.06 | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | (12203) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 254.48/50.07 | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 254.48/50.07 | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | BETA: splitting (12203) gives:
% 254.48/50.07 | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | (12204) all_56_11 = e3 & op(e1, e0) = e3
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | ALPHA: (12204) implies:
% 254.48/50.07 | | | | | | | | | | | | | | (12205) op(e1, e0) = e3
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | REF_CLOSE: (160), (12193), (12205), (function-axioms) are
% 254.48/50.07 | | | | | | | | | | | | | | inconsistent by sub-proof #3141.
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | (12206) all_56_15 = e3 & op(e0, e0) = e3
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | ALPHA: (12206) implies:
% 254.48/50.07 | | | | | | | | | | | | | | (12207) all_56_15 = e3
% 254.48/50.07 | | | | | | | | | | | | | | (12208) op(e0, e0) = e3
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 254.48/50.07 | | | | | | | | | | | | | | e3, e1, simplifying with (163), (12201) gives:
% 254.48/50.07 | | | | | | | | | | | | | | (12209) all_52_2 = e3
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 254.48/50.07 | | | | | | | | | | | | | | e1, e3, simplifying with (169), (12197) gives:
% 254.48/50.07 | | | | | | | | | | | | | | (12210) all_52_8 = e3
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | REDUCE: (141), (12209) imply:
% 254.48/50.07 | | | | | | | | | | | | | | (12211) ~ (all_52_14 = e3)
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | REDUCE: (121), (12210) imply:
% 254.48/50.07 | | | | | | | | | | | | | | (12212) ~ (all_52_11 = e3)
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | SIMP: (12212) implies:
% 254.48/50.07 | | | | | | | | | | | | | | (12213) ~ (all_52_11 = e3)
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | REDUCE: (120), (12210) imply:
% 254.48/50.07 | | | | | | | | | | | | | | (12214) ~ (all_52_12 = e3)
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | REDUCE: (348), (12210) imply:
% 254.48/50.07 | | | | | | | | | | | | | | (12215) ~ (all_10_2 = e3)
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | SIMP: (12215) implies:
% 254.48/50.07 | | | | | | | | | | | | | | (12216) ~ (all_10_2 = e3)
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | REDUCE: (365), (12210) imply:
% 254.48/50.07 | | | | | | | | | | | | | | (12217) ~ (all_6_2 = e3)
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 254.48/50.07 | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | (12218) ~ (all_16_2 = e0)
% 254.48/50.07 | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | REDUCE: (331), (12218) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | (12219) ~ (all_10_2 = e0)
% 254.48/50.07 | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 254.48/50.07 | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | (12220) all_54_0 = e3
% 254.48/50.07 | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (12220) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | (12221) all_10_2 = e3
% 254.48/50.07 | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | REDUCE: (12216), (12221) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | (12222) $false
% 254.48/50.07 | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | CLOSE: (12222) is inconsistent.
% 254.48/50.07 | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | (12223) ~ (all_54_0 = e3)
% 254.48/50.07 | | | | | | | | | | | | | | | | (12224) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 254.48/50.07 | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | BETA: splitting (12224) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | (12225) all_54_0 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (12225) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | (12226) all_10_2 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (12226) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | (12227) all_24_2 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (12226) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | (12228) all_32_2 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | REDUCE: (344), (12226) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | (12229) ~ (all_52_3 = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | REDUCE: (350), (12226) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | (12230) ~ (all_52_12 = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | REDUCE: (12216), (12226) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | (12231) ~ (e3 = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | REDUCE: (45), (12226) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | (12232) op(e3, e3) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | (12233) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | BETA: splitting (12233) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | (12234) all_56_0 = e2 & op(e3, e3) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | ALPHA: (12234) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | (12235) all_56_0 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | (12236) ~ (all_18_2 = e0)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (12236) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | (12237) ~ (all_6_2 = e0)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | (12238) ~ (all_24_2 = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12227), (12238) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | (12239) $false
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12239) is inconsistent.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | (12240) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | (12241) ~ (all_26_2 = e3)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12191), (12241) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | (12242) $false
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12242) is inconsistent.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | (12243) ( ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | (12244) ~ (all_32_2 = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12228), (12244) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | (12245) $false
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12245) is inconsistent.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | (12246) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | (12247) ~ (all_36_2 = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (12247) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | (12248) ~ (all_6_2 = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | (12249) all_54_10 = e3
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (12249) are inconsistent by
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3450.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | (12250) ~ (all_54_10 = e3)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | (12251) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12251) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (12252) all_54_10 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (12248), (12252) are inconsistent by
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3449.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (12253) ~ (all_54_10 = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (12254) all_54_10 = e1 | all_54_10 = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12254) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12255) all_54_10 = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (12255) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12256) all_6_2 = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12256) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12257) all_6_2 = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (12257) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12258) ~ (all_52_6 = e1)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (12257) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12259) ~ (all_52_9 = e1)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (12257) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12260) ~ (all_52_11 = e1)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (12257) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12261) ~ (all_52_14 = e1)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (12257) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12262) ~ (e3 = e1)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12248), (12257) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12263) ~ (e2 = e1)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (12257) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12264) op(e1, e1) = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12265) ~ (all_42_2 = e3)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9918), (12265) imply:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12266) $false
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12266) is inconsistent.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12267) ( ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12268) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12268) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12269) all_56_4 = e2 & op(e3, e1) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12269) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12270) all_56_4 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12196), (12270) are inconsistent by
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2860.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12271) all_56_5 = e2 & op(e2, e1) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12271) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12272) all_56_5 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (159),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (168), (207), (208), (210), (211),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (226), (230), (232), (236),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (376), (9929), (12192), (12196), (12197),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12201), (12207), (12208), (12229), (12230),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12232), (12235), (12237), (12258), (12260),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12261), (12264), (12272), (function-axioms) are
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #562.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12273) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12273) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12274) all_56_8 = e2 & op(e1, e1) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12274) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12275) op(e1, e1) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12264), (12275), (function-axioms) are
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12276) all_56_14 = e2 & op(e0, e1) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12276) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12277) all_56_14 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12278) op(e0, e1) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12279) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12279) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12280) all_56_4 = e0 & op(e3, e1) = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12280) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12281) op(e3, e1) = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12197), (12281), (function-axioms) are
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2333.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12282) all_56_5 = e0 & op(e2, e1) = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12282) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12283) all_56_5 = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12284) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9929), (12200), (12232), (12284),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #603.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12285) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12285) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12286) all_56_5 = e2 & op(e2, e1) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12286) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12287) all_56_5 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (159),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (168), (207), (208), (210), (211),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (226), (230), (232), (236),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (376), (9929), (12192), (12196), (12197),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12201), (12207), (12208), (12229), (12230),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12232), (12235), (12237), (12258), (12260),
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12261), (12264), (12287), (function-axioms) are
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #562.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12288) all_56_10 = e2 & op(e2, e0) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12288) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12289) all_56_10 = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12290) op(e2, e0) = e2
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12291) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12291) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12292) all_56_2 = e1 & op(e2, e3) = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12292) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12293) all_56_2 = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294) op(e2, e3) = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12295) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12295) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12296) all_56_9 = e1 & op(e3, e0) = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12296) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12297) all_56_9 = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12298) op(e3, e0) = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12299) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12299) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12300) all_56_0 = e0 & op(e3, e3) = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12300) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12301) op(e3, e3) = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12232), (12301), (function-axioms) are
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12302) all_56_1 = e0 & op(e3, e2) = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12302) implies:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12303) all_56_1 = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12304) op(e3, e2) = e0
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12305) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12305) gives:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12306) all_56_1 = e1 & op(e3, e2) = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12303), (12306) are inconsistent by
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3350.
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12307) all_56_3 = e1 & op(e2, e2) = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12307) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12308) all_56_3 = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12309) op(e2, e2) = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (12293), (12294), (12308), (12309),
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3361.
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12310) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12310) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12311) all_56_7 = e1 & op(e1, e2) = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12311) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12312) op(e1, e2) = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12258), (12312), (function-axioms) are
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3411.
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12313) all_56_13 = e1 & op(e0, e2) = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12313) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12314) all_56_13 = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12315) op(e0, e2) = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12316) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (9929), (12303), (12316),
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3345.
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12317) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12317) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12318) all_56_7 = e2 & op(e1, e2) = e2
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12318) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12319) all_56_7 = e2
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12320) op(e1, e2) = e2
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12321) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12321) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12322) all_56_6 = e0 & op(e1, e3) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (9928), (12200), (12283),
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12289), (12293), (12322) are inconsistent by
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #561.
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12323) all_56_7 = e0 & op(e1, e2) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12323) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12324) all_56_7 = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (9929), (12303), (12314),
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12324), (function-axioms) are inconsistent by
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #560.
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12325) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12325) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12326) all_56_8 = e0 & op(e1, e1) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12326) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12327) all_56_8 = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12328) op(e1, e1) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (12196),
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12283), (12327), (12328), (function-axioms) are
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2542.
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12329) all_56_11 = e0 & op(e1, e0) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12329) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12330) all_56_11 = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12331) op(e1, e0) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12332) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12332) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12333) all_56_0 = e0 & op(e3, e3) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12333) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12334) op(e3, e3) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (12196),
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12303), (12334), (function-axioms) are
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2413.
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12335) all_56_2 = e0 & op(e2, e3) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (210), (211), (12207),
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12293), (12297), (12330), (12335) are
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1552.
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12336) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12336) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12337) all_56_6 = e0 & op(e1, e3) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (9928), (12200), (12283),
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12289), (12293), (12337) are inconsistent by
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #561.
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12338) all_56_12 = e0 & op(e0, e3) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12338) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12339) op(e0, e3) = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (12278) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12340) all_52_11 = e2
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (12315) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12341) all_52_7 = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (12339) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12342) all_52_3 = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (12331) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12343) all_52_14 = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (12320) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12344) all_52_6 = e2
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (12290) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12345) all_52_13 = e2
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (12294) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12346) all_52_1 = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (12298) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12347) all_52_12 = e1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (12304) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12348) all_52_4 = e0
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12261), (12343) imply:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12349) ~ (e1 = e0)
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12350) (all_57_24 = all_57_25 & op(all_57_25, e3) =
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e3, e0) = all_57_25 &
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_26 = all_57_27 &
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_27, e2) = all_57_27 & op(e2, e0) =
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & $i(all_57_27))
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12350) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12351) all_57_24 = all_57_25 & op(all_57_25, e3) =
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e3, e0) = all_57_25 & $i(all_57_25)
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12351) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12352) op(e3, e0) = all_57_25
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12353) op(all_57_25, e3) = all_57_25
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12354) (all_57_0 = all_57_1 & op(all_57_1, e3) = all_57_1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_1 & $i(all_57_1)) |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = all_57_3 & op(all_57_3, e2) = all_57_3
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_3 & $i(all_57_3))
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12354) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12355) all_57_0 = all_57_1 & op(all_57_1, e3) = all_57_1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_1 & $i(all_57_1)
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12355) implies:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12356) op(e3, e3) = all_57_1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12357) op(all_57_1, e3) = all_57_1
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.48/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12358) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12358) gives:
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12359) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12201), (12359), (function-axioms)
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #690.
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12360) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12232), (12258), (12360),
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3404.
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12361) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12361) gives:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12362) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12320), (12362), (function-axioms) are
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2069.
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12363) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12363) gives:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12364) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12364) implies:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12365) op(e3, e0) = e3
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12192), (12365), (function-axioms) are
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12366) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12366) gives:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12367) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12367) implies:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12368) ~ (all_57_23 = e1)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12369) op(e0, e1) = all_57_23
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12370) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12370) implies:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12371) op(e2, e3) = all_8_1
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12232), (12240), (12246), (12267), (12278),
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294), (12304), (12356), (12357), (12368),
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12369), (12371), (function-axioms) are
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #559.
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12372) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12372) implies:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12373) op(e2, e3) = all_8_1
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12232), (12240), (12246), (12267), (12278),
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294), (12304), (12356), (12357), (12368),
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12369), (12373), (function-axioms) are
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #559.
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12374) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (210), (211),
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12207), (12208), (12261), (12297), (12315),
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12320), (12330), (12374), (function-axioms) are
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #558.
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12375) all_57_2 = all_57_3 & op(all_57_3, e2) = all_57_3
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_3 & $i(all_57_3)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12375) implies:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12376) op(e2, e3) = all_57_3
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12377) op(all_57_3, e2) = all_57_3
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12378) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12378) implies:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12379) op(e2, e3) = all_8_1
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12240), (12246), (12258), (12267),
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294), (12304), (12376), (12377), (12379),
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #557.
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12380) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12380) implies:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12381) op(e2, e3) = all_8_1
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12240), (12246), (12258), (12267),
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294), (12304), (12376), (12377), (12381),
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #557.
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12382) (all_57_4 = all_57_5 & op(all_57_5, e1) = all_57_5
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_5 & $i(all_57_5)) |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = all_57_7 & op(all_57_7, e0) = all_57_7
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & $i(all_57_7))
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12382) gives:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12383) all_57_4 = all_57_5 & op(all_57_5, e1) = all_57_5
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_5 & $i(all_57_5)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12383) implies:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12384) op(e1, e3) = all_57_5
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12385) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12385) implies:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12386) op(e2, e3) = all_8_1
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12201), (12267), (12294), (12298), (12352),
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12353), (12384), (12386), (function-axioms) are
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #556.
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12387) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12387) implies:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12388) op(e2, e3) = all_8_1
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12201), (12267), (12294), (12298), (12352),
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12353), (12384), (12388), (function-axioms) are
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #556.
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12389) all_57_6 = all_57_7 & op(all_57_7, e0) = all_57_7
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & $i(all_57_7)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12389) implies:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12390) op(all_57_7, e0) = all_57_7
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12391) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12391) gives:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12392) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12201), (12392), (function-axioms)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #690.
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12393) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12232), (12258), (12393),
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3404.
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12394) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12394) gives:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12395) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12320), (12395), (function-axioms) are
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2069.
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12396) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12396) gives:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12397) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12397) implies:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12398) op(e3, e0) = e3
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12192), (12398), (function-axioms) are
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12399) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12399) gives:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12400) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12400) implies:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12401) ~ (all_57_31 = e0)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12402) op(e0, e0) = all_57_31
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12403) op(e0, e3) = all_57_7
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12243) gives:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12404) ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_26_1 & $i(all_26_0) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12404) implies:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12405) op(e0, e3) = all_26_1
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12240), (12246), (12304), (12339), (12390),
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12401), (12402), (12403), (12405),
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #555.
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12406) ~ (all_26_1 = e1) & op(e0, e3) = all_26_1 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12406) implies:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12407) op(e0, e3) = all_26_1
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12240), (12246), (12304), (12339), (12390),
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12401), (12402), (12403), (12407),
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #555.
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12408) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (210), (211),
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12207), (12208), (12261), (12297), (12315),
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12320), (12330), (12408), (function-axioms) are
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #558.
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12409) all_57_26 = all_57_27 & op(all_57_27, e2) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e2, e0) = all_57_27 & $i(all_57_27)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12409) implies:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12410) op(all_57_27, e2) = all_57_27
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12411) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12411) gives:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12412) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12201), (12412), (function-axioms)
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #690.
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12413) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12232), (12258), (12413),
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3404.
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12414) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12414) gives:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12415) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12320), (12415), (function-axioms) are
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2069.
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12416) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12416) gives:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12417) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12417) implies:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12418) op(e3, e0) = e3
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12192), (12418), (function-axioms) are
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12419) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12419) gives:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12420) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12420) implies:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12421) all_57_27 = e2
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12410), (12421) imply:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12422) op(e2, e2) = e2
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (12422), (function-axioms) are
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12423) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (210), (211),
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12207), (12208), (12261), (12297), (12315),
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12320), (12330), (12423), (function-axioms) are
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #558.
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12424) (all_57_28 = all_57_29 & op(all_57_29, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e1, e0) = all_57_29 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_30 = all_57_31 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_31, e0) = all_57_31 & op(e0, e0) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12424) gives:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12425) all_57_28 = all_57_29 & op(all_57_29, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e1, e0) = all_57_29 & $i(all_57_29)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12425) implies:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12426) op(e1, e0) = all_57_29
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12427) op(all_57_29, e1) = all_57_29
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12428) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12428) gives:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12429) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12201), (12429), (function-axioms)
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #690.
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12430) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12232), (12258), (12430),
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3404.
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12431) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12431) gives:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12432) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12320), (12432), (function-axioms) are
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2069.
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12433) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12433) gives:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12434) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12434) implies:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12435) op(e3, e0) = e3
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12192), (12435), (function-axioms) are
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12436) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12436) gives:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12437) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12437) implies:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12438) ~ (all_57_23 = e1)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12439) op(e0, e1) = all_57_23
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12440) op(e2, e2) = all_57_11
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12246) gives:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e0, simplifying with (12278),
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12439) gives:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12441) all_57_23 = e2
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (12331),
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12426) gives:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12442) all_57_29 = e0
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11, e2, e2, simplifying with (9929),
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12440) gives:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12443) all_57_11 = e3
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12427), (12442) imply:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12444) op(e0, e1) = e0
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e1,
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (12278), (12444) gives:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12445) e2 = e0
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12319), (12445) imply:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12446) all_56_7 = e0
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (9929), (12303), (12314),
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12446), (function-axioms) are inconsistent by
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #560.
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12447) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12447) implies:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12448) ~ (all_32_1 = e0)
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12449) op(e3, e2) = all_32_1
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12240), (12304), (12448), (12449),
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2827.
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12450) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (210), (211),
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12207), (12208), (12261), (12297), (12315),
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12320), (12330), (12450), (function-axioms) are
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #558.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12451) all_57_30 = all_57_31 & op(all_57_31, e0) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & op(e0, e0) = all_57_31 & $i(all_57_31)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9917), (12192), (12208), (12267), (12294),
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12451), (function-axioms) are inconsistent by
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #553.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12452) all_56_13 = e2 & op(e0, e2) = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12452) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12453) all_56_13 = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12314), (12453) imply:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12454) e2 = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12454) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12455) e2 = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12289), (12455) imply:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12456) all_56_10 = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (223), (9929), (12283), (12294),
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12456), (function-axioms) are inconsistent by
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #551.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12457) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12457) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12458) all_56_4 = e0 & op(e3, e1) = e0
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12458) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12459) op(e3, e1) = e0
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12197), (12459), (function-axioms) are
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2333.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12460) all_56_9 = e0 & op(e3, e0) = e0
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12297), (12460) are inconsistent by
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1982.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12461) all_56_10 = e1 & op(e2, e0) = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12461) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12462) all_56_10 = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (223), (9929), (12283), (12294),
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12462), (function-axioms) are inconsistent by
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #551.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12463) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (12207), (12261), (12463),
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2556.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12464) all_56_3 = e1 & op(e2, e2) = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12464) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12465) op(e2, e2) = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12465), (function-axioms) are
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12466) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12466) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12467) all_56_5 = e1 & op(e2, e1) = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12467) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12468) op(e2, e1) = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12259), (12468), (function-axioms) are
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #740.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12469) all_56_10 = e1 & op(e2, e0) = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12469) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12470) op(e2, e0) = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12290), (12470), (function-axioms) are
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #691.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12471) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12471) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12472) all_56_8 = e0 & op(e1, e1) = e0
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (12237), (12472), (function-axioms) are
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3207.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12473) all_56_14 = e0 & op(e0, e1) = e0
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12473) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12474) all_56_14 = e0
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12277), (12474) are inconsistent by
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3220.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12475) all_54_10 = e0
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (12237), (12475) are inconsistent by
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | (12476) all_36_2 = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (12476) imply:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | (12477) all_6_2 = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (12477) imply:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | (12478) ~ (all_52_9 = e2)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (12477) imply:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | (12479) op(e1, e1) = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | (12480) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12480) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (12481) all_56_12 = e2 & op(e0, e3) = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (12229), (12481), (function-axioms) are
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (12482) all_56_13 = e2 & op(e0, e2) = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12482) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (12483) op(e0, e2) = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12484) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231),
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9929), (12200), (12232), (12484),
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | #603.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12485) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12485) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12486) all_56_5 = e2 & op(e2, e1) = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12486) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12487) op(e2, e1) = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12478), (12487), (function-axioms) are
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3465.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12488) all_56_10 = e2 & op(e2, e0) = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12488) implies:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12489) op(e2, e0) = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (12483) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12490) all_52_7 = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (12489) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12491) all_52_13 = e2
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12492) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12492) gives:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12493) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12201), (12493), (function-axioms)
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #690.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12494) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12232), (12479), (12494), (function-axioms) are
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2326.
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12495) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12495) gives:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12496) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12201), (12478), (12496),
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2111.
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12497) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12497) gives:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12498) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12498) implies:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12499) op(e3, e0) = e3
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12192), (12499), (function-axioms) are
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12500) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12500) gives:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12501) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12501) implies:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12502) ~ (all_57_15 = e2)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12503) op(e0, e2) = all_57_15
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12483), (12502), (12503), (function-axioms) are
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2913.
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12504) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12504) implies:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12505) op(e0, e0) = all_57_31
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12506) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12506) gives:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12507) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12208), (12483), (12505), (12507),
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #564.
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12508) (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) & op(e1,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_5 & op(e1, e2) = all_57_13 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13)
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_29)) | (all_57_29 =
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e3) & ~ (all_57_15 = e2) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 & op(e0,
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_21) &
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 254.79/50.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12201), (12483), (12508), (function-axioms) are
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2104.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | (12509) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12509) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (12510) all_56_14 = e2 & op(e0, e1) = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12510) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (12511) all_56_14 = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (12479), (12511), (function-axioms)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3098.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (12512) all_56_15 = e2 & op(e0, e0) = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (12196), (12207), (12479), (12512),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | #550.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | (12513) all_18_2 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (12513) imply:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | (12514) all_6_2 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | SIMP: (12514) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | (12515) all_6_2 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (12515) imply:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | (12516) all_28_2 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (12515) imply:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | (12517) ~ (all_52_11 = e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (12515) imply:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | (12518) ~ (all_52_14 = e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (12515) imply:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | (12519) ~ (e3 = e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (12515) imply:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | (12520) op(e1, e1) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | (12521) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12521) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (12522) all_56_6 = e0 & op(e1, e3) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12522) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (12523) all_56_6 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (12192), (12207),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (12219), (12517), (12520), (12523),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | #1787.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (12524) all_56_7 = e0 & op(e1, e2) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12524) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (12525) all_56_7 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (214),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (226), (227),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (228), (376), (9928), (12200), (12517), (12520),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (12525), (function-axioms) are inconsistent by
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2570.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | (12526) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12526) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (12527) all_56_8 = e0 & op(e1, e1) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12527) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | (12528) all_56_8 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | (12529) ~ (all_24_2 = e2)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12227), (12529) imply:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | (12530) $false
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12530) is inconsistent.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | (12531) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | (12532) ~ (all_26_2 = e3)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12191), (12532) imply:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | (12533) $false
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12533) is inconsistent.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | (12534) ( ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | (12535) ~ (all_28_2 = e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12516), (12535) imply:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | (12536) $false
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12536) is inconsistent.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | (12537) ( ~ (all_28_0 = e3) & op(e1, all_28_1) = all_28_0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (12538) ~ (all_32_2 = e2)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12228), (12538) imply:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (12539) $false
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12539) is inconsistent.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (12540) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12541) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12541) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12542) all_56_0 = e1 & op(e3, e3) = e1
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12542) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12543) op(e3, e3) = e1
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12232), (12543), (function-axioms) are
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12544) all_56_2 = e1 & op(e2, e3) = e1
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12544) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12545) all_56_2 = e1
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12546) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12546) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12547) all_56_2 = e0 & op(e2, e3) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12545), (12547) are inconsistent by
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3011.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12548) all_56_3 = e0 & op(e2, e2) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12548) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12549) all_56_3 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (218), (219),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (9924), (12196), (12200),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12232), (12528), (12549), (function-axioms) are
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12550) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12550) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12551) all_56_5 = e0 & op(e2, e1) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12551) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12552) all_56_5 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (12196),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12520), (12528), (12552), (function-axioms) are
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2542.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12553) all_56_10 = e0 & op(e2, e0) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12553) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12554) all_56_10 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12555) op(e2, e0) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12556) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9929), (12200), (12232), (12556),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #603.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12557) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12557) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12558) all_56_5 = e2 & op(e2, e1) = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12558) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12559) all_56_5 = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12560) op(e2, e1) = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12561) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (12197), (12560), (12561),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #549.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12562) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12562) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12563) all_56_8 = e1 & op(e1, e1) = e1
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (9929), (12528), (12545),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12554), (12560), (12563), (function-axioms) are
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #566.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12564) all_56_14 = e1 & op(e0, e1) = e1
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12564) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12565) op(e0, e1) = e1
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12566) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12566) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12567) all_56_0 = e0 & op(e3, e3) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12567) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12568) op(e3, e3) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12232), (12568), (function-axioms) are
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12569) all_56_2 = e0 & op(e2, e3) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12569) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12570) all_56_2 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (9929), (12554), (12560),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12570), (function-axioms) are inconsistent by
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #567.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12571) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12571) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12572) all_56_6 = e0 & op(e1, e3) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12572) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12573) all_56_6 = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (12192), (12207),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12219), (12517), (12520), (12573),
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1787.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12574) all_56_12 = e0 & op(e0, e3) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12574) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12575) op(e0, e3) = e0
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12576) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12576) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12577) all_56_12 = e2 & op(e0, e3) = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12577) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12578) op(e0, e3) = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12575), (12578), (function-axioms) are
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #763.
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12579) all_56_13 = e2 & op(e0, e2) = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12579) implies:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12580) op(e0, e2) = e2
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12581) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12581) gives:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12582) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12201), (12582), (function-axioms)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #690.
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12583) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12232), (12555), (12583), (function-axioms) are
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #606.
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12584) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12584) gives:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12585) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12201), (12585), (function-axioms) are
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2462.
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12586) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12586) gives:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12587) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12587) implies:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12588) ~ (all_57_23 = e1)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12589) op(e0, e1) = all_57_23
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12565), (12588), (12589), (function-axioms) are
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3132.
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12590) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12590) gives:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12591) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12591) implies:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12592) op(e2, e0) = e2
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12555), (12592), (function-axioms) are
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12593) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12201), (12208), (12565), (12580), (12593),
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #548.
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12594) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12594) gives:
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12595) all_56_14 = e2 & op(e0, e1) = e2
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12595) implies:
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12596) all_56_14 = e2
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (12528),
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12559), (12596) are inconsistent by sub-proof
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2738.
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12597) all_56_15 = e2 & op(e0, e0) = e2
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12597) implies:
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12598) all_56_15 = e2
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12207), (12598) are inconsistent by
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3191.
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12599) all_56_10 = e2 & op(e2, e0) = e2
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12599) implies:
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12600) op(e2, e0) = e2
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12555), (12600), (function-axioms) are
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 254.79/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12601) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12601) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12602) all_56_6 = e1 & op(e1, e3) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12602) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12603) op(e1, e3) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12201), (12603), (function-axioms) are
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12604) all_56_12 = e1 & op(e0, e3) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12604) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12605) all_56_12 = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12606) op(e0, e3) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12607) all_56_15 = e0 & op(e0, e0) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12607) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12608) op(e0, e0) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12208), (12608), (function-axioms) are
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3313.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12609) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12609) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12610) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12610) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12611) all_56_12 = e0 & op(e0, e3) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12611) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12612) all_56_12 = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12605), (12612) are inconsistent by
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3312.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12613) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12613) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12614) all_56_13 = e0 & op(e0, e2) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12614) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12615) all_56_13 = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12616) op(e0, e2) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12617) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (12229), (12616), (12617),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2493.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12618) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12618) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12619) all_56_14 = e2 & op(e0, e1) = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12619) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12620) all_56_14 = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12621) op(e0, e1) = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12622) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12622) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12623) all_56_1 = e2 & op(e3, e2) = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12623) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12624) all_56_1 = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (12192), (12196), (12232), (12235),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12624), (function-axioms) are inconsistent by
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #547.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12625) all_56_3 = e2 & op(e2, e2) = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12625) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12626) op(e2, e2) = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9929), (12626), (function-axioms) are
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12627) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12627) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12628) all_56_7 = e2 & op(e1, e2) = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12628) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12629) all_56_7 = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12630) op(e1, e2) = e2
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12631) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12631) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12632) all_56_6 = e1 & op(e1, e3) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12632) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12633) op(e1, e3) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12201), (12633), (function-axioms) are
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12634) all_56_7 = e1 & op(e1, e2) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12634) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12635) all_56_7 = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12629), (12635) imply:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12636) e2 = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12620), (12636) imply:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12637) all_56_14 = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (12207), (12605), (12615),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12637) are inconsistent by sub-proof #3306.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12638) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12638) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12639) all_56_8 = e1 & op(e1, e1) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12528), (12639) are inconsistent by
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3227.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12640) all_56_11 = e1 & op(e1, e0) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12640) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12641) op(e1, e0) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12642) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12642) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12643) all_56_4 = e1 & op(e3, e1) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12643) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12644) op(e3, e1) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12197), (12644), (function-axioms) are
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3060.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12645) all_56_5 = e1 & op(e2, e1) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12645) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12646) all_56_5 = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12647) op(e2, e1) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12648) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12648) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12649) all_56_0 = e0 & op(e3, e3) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12649) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12650) op(e3, e3) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12232), (12650), (function-axioms) are
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12651) all_56_2 = e0 & op(e2, e3) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12651) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12652) all_56_2 = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12653) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12653) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12654) all_56_1 = e1 & op(e3, e2) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12654) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12655) all_56_1 = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12656) op(e3, e2) = e1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12657) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12657) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12658) all_56_0 = e0 & op(e3, e3) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12658) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12659) op(e3, e3) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12232), (12659), (function-axioms) are
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12660) all_56_1 = e0 & op(e3, e2) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (12196),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12520), (12528), (12646), (12655), (12660),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2536.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12661) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12662) all_56_4 = e0 & op(e3, e1) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12662) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12663) all_56_4 = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (236), (12192), (12235),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12655), (12663), (function-axioms) are
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12664) all_56_9 = e0 & op(e3, e0) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12664) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665) op(e3, e0) = e0
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666) (all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_9 & $i(all_57_9)) |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = all_57_11 & op(all_57_11, e2) =
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e2) = all_57_11 &
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12666) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12667) all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_9 & $i(all_57_9)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12667) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12668) op(e3, e2) = all_57_9
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12669) op(all_57_9, e3) = all_57_9
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12189) gives:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12670) ~ (all_12_0 = e1) & op(e0, all_12_1) = all_12_0 &
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12670) implies:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12671) op(e0, e3) = all_12_1
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (157), (241), (12201), (12208),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12232), (12517), (12520), (12531), (12534),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12540), (12606), (12630), (12647), (12656),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12668), (12669), (12671),
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #543.
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12672) ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12672) implies:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12673) op(e0, e3) = all_12_1
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (157), (241), (12201), (12208),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12232), (12517), (12520), (12531), (12534),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12540), (12606), (12630), (12647), (12656),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665), (12668), (12669), (12673),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #543.
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12674) all_57_10 = all_57_11 & op(all_57_11, e2) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e2) = all_57_11 & $i(all_57_11)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9920), (9929), (12534), (12606), (12674),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #542.
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12675) (all_57_12 = all_57_13 & op(all_57_13, e1) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_14 = all_57_15 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_15, e0) = all_57_15 & op(e0, e2) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15))
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12675) gives:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12676) all_57_12 = all_57_13 & op(all_57_13, e1) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 & $i(all_57_13)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12676) implies:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677) op(e1, e2) = all_57_13
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12678) op(all_57_13, e1) = all_57_13
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12679) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12679) gives:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12680) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12201), (12665), (12680), (function-axioms)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #546.
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12681) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12681) gives:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12682) all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) = all_57_3
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12682) implies:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12683) op(e2, e1) = all_57_19
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (157), (241), (12201), (12208),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12232), (12517), (12520), (12537), (12621),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12630), (12641), (12647), (12665), (12677),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12678), (12683), (function-axioms) are
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #541.
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684) all_57_13 = e1 & ~ (all_57_3 = e3) & ~
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & ~ (all_57_27 = e0) & op(e2,
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_27)
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12684) implies:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12685) op(e2, e1) = all_57_19
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (157), (241), (12201), (12208),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12232), (12517), (12520), (12537), (12621),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12630), (12641), (12647), (12665), (12677),
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12678), (12685), (function-axioms) are
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #541.
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.09/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12686) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12686) gives:
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12687) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12630), (12647), (12687), (function-axioms)
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2235.
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12688) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12688) gives:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12689) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12689) implies:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12690) ~ (all_57_23 = e1)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12691) op(e0, e1) = all_57_23
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12534), (12606), (12621), (12630), (12647),
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (12678), (12690), (12691),
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #540.
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12692) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12692) gives:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12693) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12693) implies:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12694) ~ (all_57_23 = e1)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12695) op(e0, e1) = all_57_23
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12534), (12606), (12621), (12630), (12647),
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677), (12678), (12694), (12695),
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #540.
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12696) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (12208), (12517), (12520), (12647),
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12696), (function-axioms) are inconsistent by
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #544.
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12697) all_57_14 = all_57_15 & op(all_57_15, e0) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = all_57_15 & $i(all_57_15)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12697) implies:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12698) op(all_57_15, e0) = all_57_15
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12699) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12699) gives:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12700) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12201), (12665), (12700), (function-axioms)
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #546.
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12701) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12232), (12647), (12701), (function-axioms) are
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12702) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12702) gives:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12703) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12630), (12647), (12703), (function-axioms)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2235.
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12704) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12704) gives:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12705) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12705) implies:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12706) op(e3, e0) = e3
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12665), (12706), (function-axioms) are
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #872.
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12707) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12707) gives:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12708) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12708) implies:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12709) ~ (all_57_31 = e0)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710) op(e0, e0) = all_57_31
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12711) op(e0, e2) = all_57_15
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e2, e0, simplifying with (12616),
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12711) gives:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12712) all_57_15 = e0
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12698), (12712) imply:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12713) op(e0, e0) = e0
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12709), (12710), (12713), (function-axioms) are
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3463.
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12714) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (12208), (12517), (12520), (12647),
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12714), (function-axioms) are inconsistent by
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #544.
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12715) all_56_3 = e1 & op(e2, e2) = e1
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12715) implies:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12716) op(e2, e2) = e1
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (12646),
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12647), (12652), (12716), (function-axioms) are
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2787.
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12717) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12717) gives:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12718) all_56_7 = e1 & op(e1, e2) = e1
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12718) implies:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12719) all_56_7 = e1
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12629), (12719) imply:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12720) e2 = e1
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12720) implies:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12721) e2 = e1
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12620), (12721) imply:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12722) all_56_14 = e1
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (12207), (12605), (12615),
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12722) are inconsistent by sub-proof #3306.
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12723) all_56_13 = e1 & op(e0, e2) = e1
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12723) implies:
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12724) all_56_13 = e1
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (12196),
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12520), (12528), (12615), (12646), (12724),
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2541.
% 255.16/50.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12725) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12725) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12726) all_56_6 = e0 & op(e1, e3) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12726) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12727) all_56_6 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (206), (207), (208), (210), (211), (214),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (224),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (376), (12192), (12207),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12219), (12517), (12520), (12727),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1787.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12728) all_56_12 = e0 & op(e0, e3) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12728) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12729) all_56_12 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12605), (12729) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12730) e1 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12646), (12730) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12731) all_56_5 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (12196),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12520), (12528), (12731), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2542.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12732) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12732) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12733) all_56_8 = e1 & op(e1, e1) = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12528), (12733) are inconsistent by
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3227.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12734) all_56_14 = e1 & op(e0, e1) = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12734) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12735) all_56_14 = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (12207), (12605), (12615),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12735) are inconsistent by sub-proof #3306.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12736) all_56_13 = e2 & op(e0, e2) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12736) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12737) op(e0, e2) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12616), (12737), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12738) all_56_15 = e2 & op(e0, e0) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12207), (12738) are inconsistent by
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3308.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12739) all_56_14 = e0 & op(e0, e1) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12739) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12740) op(e0, e1) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (12517), (12740), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3458.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | (12741) all_56_11 = e0 & op(e1, e0) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12741) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | (12742) op(e1, e0) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12518), (12742), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | (12743) all_56_2 = e2 & op(e2, e3) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | ALPHA: (12743) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | (12744) all_56_2 = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (12200),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | (12232), (12744), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3287.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | (12745) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 255.16/50.22 | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 255.16/50.22 | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | BETA: splitting (12745) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | (12746) all_56_6 = e2 & op(e1, e3) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12200), (12746) are inconsistent by
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | sub-proof #3238.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | (12747) all_56_12 = e2 & op(e0, e3) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (12229), (12747), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | (12748) all_54_0 = e1 | all_54_0 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (9930), (12219), (12748) are inconsistent
% 255.16/50.22 | | | | | | | | | | | | | | | | | by sub-proof #3455.
% 255.16/50.22 | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | (12749) all_16_2 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | (12750) ( ~ (all_16_0 = e2) & op(e3, all_16_1) = all_16_0
% 255.16/50.22 | | | | | | | | | | | | | | | & op(e3, e0) = all_16_1 & $i(all_16_0) &
% 255.16/50.22 | | | | | | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e1) & op(e3, e0)
% 255.16/50.22 | | | | | | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | COMBINE_EQS: (331), (12749) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | (12751) all_10_2 = e0
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | SIMP: (12751) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | (12752) all_10_2 = e0
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | COMBINE_EQS: (284), (12752) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | (12753) all_50_2 = e0
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | REDUCE: (340), (12752) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | (12754) ~ (all_52_1 = e0)
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | REDUCE: (344), (12752) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | (12755) ~ (all_52_3 = e0)
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | REDUCE: (350), (12752) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | (12756) ~ (all_52_12 = e0)
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | REDUCE: (12216), (12752) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | (12757) ~ (e3 = e0)
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | REDUCE: (9930), (12752) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | (12758) ~ (e1 = e0)
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 255.16/50.22 | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | (12759) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 255.16/50.22 | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | BETA: splitting (12759) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | (12760) all_56_0 = e0 & op(e3, e3) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | ALPHA: (12760) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | (12761) all_56_0 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | (12762) op(e3, e3) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | (12763) ~ (all_18_2 = e0)
% 255.16/50.22 | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | REDUCE: (328), (12763) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | (12764) ~ (all_6_2 = e0)
% 255.16/50.22 | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | (12765) ~ (all_26_2 = e3)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | REDUCE: (12191), (12765) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | (12766) $false
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | CLOSE: (12766) is inconsistent.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | (12767) ( ~ (all_26_0 = e2) & op(e0, all_26_1) = all_26_0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | (12768) ~ (all_36_2 = e2)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (12768) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | (12769) ~ (all_6_2 = e2)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | (12770) all_54_10 = e3
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (12770) are inconsistent by
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | sub-proof #3450.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | (12771) ~ (all_54_10 = e3)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | (12772) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12772) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | (12773) all_54_10 = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (12769), (12773) are inconsistent by
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | sub-proof #3449.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | (12774) ~ (all_54_10 = e2)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | (12775) all_54_10 = e1 | all_54_10 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12775) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | (12776) all_54_10 = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (12776) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | (12777) all_6_2 = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12777) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | (12778) all_6_2 = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (12778) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | (12779) ~ (all_52_6 = e1)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (12778) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | (12780) ~ (all_52_9 = e1)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (12778) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | (12781) ~ (all_52_11 = e1)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (12778) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | (12782) ~ (all_52_14 = e1)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (12778) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | (12783) ~ (e3 = e1)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12769), (12778) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | (12784) ~ (e2 = e1)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (12778) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | (12785) op(e1, e1) = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | (12786) ~ (all_50_2 = e0)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12753), (12786) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | (12787) $false
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12787) is inconsistent.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | (12788) ( ~ (all_50_0 = e1) & op(e3, all_50_1) = all_50_0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | (12789) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12789) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (12790) all_56_12 = e1 & op(e0, e3) = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12790) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (12791) all_56_12 = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (12792) op(e0, e3) = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12793) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12793) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12794) all_56_0 = e2 & op(e3, e3) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12794) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12795) op(e3, e3) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12762), (12795), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12796) all_56_2 = e2 & op(e2, e3) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12796) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12797) all_56_2 = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12798) op(e2, e3) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12799) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9929), (12798), (12799),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #680.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12800) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12800) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12801) all_56_5 = e1 & op(e2, e1) = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12801) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12802) op(e2, e1) = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12780), (12802), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #740.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12803) all_56_10 = e1 & op(e2, e0) = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12803) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12804) all_56_10 = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12805) op(e2, e0) = e1
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12806) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (232), (233),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (9928), (12192), (12196),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12761), (12762), (12791), (12806),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #539.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12807) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12807) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12808) all_56_5 = e0 & op(e2, e1) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12808) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12809) all_56_5 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12810) op(e2, e1) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12811) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12811) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12812) all_56_4 = e2 & op(e3, e1) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12196), (12812) are inconsistent by
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3230.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12813) all_56_5 = e2 & op(e2, e1) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12813) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12814) all_56_5 = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12809), (12814) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12815) e2 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12815) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12816) e2 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12797), (12816) imply:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12817) all_56_2 = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (12762),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12791), (12817), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3235.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12818) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12818) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12819) all_56_8 = e2 & op(e1, e1) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12819) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12820) op(e1, e1) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12785), (12820), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12821) all_56_14 = e2 & op(e0, e1) = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12821) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12822) all_56_14 = e2
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12823) all_56_15 = e0 & op(e0, e0) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12823) implies:
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12824) op(e0, e0) = e0
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (168), (212), (12192), (12193),
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12804), (12824), (function-axioms) are
% 255.16/50.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2178.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12825) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12825) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12826) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12827) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12827) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12828) all_56_9 = e0 & op(e3, e0) = e0
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12756), (12828), (function-axioms) are
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12829) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12829) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12830) all_56_10 = e0 & op(e2, e0) = e0
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12804), (12830) are inconsistent by
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2350.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12831) all_56_11 = e0 & op(e1, e0) = e0
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12831) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12832) all_56_11 = e0
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12833) op(e1, e0) = e0
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12834) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12834) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12835) all_56_1 = e1 & op(e3, e2) = e1
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12835) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12836) all_56_1 = e1
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12837) op(e3, e2) = e1
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12838) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12838) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12839) all_56_6 = e2 & op(e1, e3) = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (236), (12192), (12196),
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12200), (12762), (12836), (12839),
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1369.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12840) all_56_7 = e2 & op(e1, e2) = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12840) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12841) op(e1, e2) = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12842) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12842) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12843) all_56_0 = e2 & op(e3, e3) = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12843) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12844) all_56_0 = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12845) op(e3, e3) = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (235),
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12797), (12844), (12845), (function-axioms) are
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3282.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12846) all_56_1 = e2 & op(e3, e2) = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12846) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12847) all_56_1 = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12836), (12847) imply:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12848) e2 = e1
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (208), (12207), (12791),
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12822), (12826), (12848) are inconsistent by
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1899.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12849) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12849) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12850) all_56_4 = e2 & op(e3, e1) = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12850) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12851) all_56_4 = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (236), (12192), (12762),
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12836), (12851), (function-axioms) are
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12852) all_56_9 = e2 & op(e3, e0) = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12852) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12853) op(e3, e0) = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (12792) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12854) all_52_3 = e1
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (12833) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12855) all_52_14 = e0
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (12841) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12856) all_52_6 = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (12805) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12857) all_52_13 = e1
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (12810) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12858) all_52_9 = e0
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (12853) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12859) all_52_12 = e2
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (12837) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12860) all_52_4 = e1
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12192), (12859) imply:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12861) ~ (e3 = e2)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12862) (all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_9 & $i(all_57_9)) |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = all_57_11 & op(all_57_11, e2) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e2) = all_57_11 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12862) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12863) all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_9 & $i(all_57_9)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12863) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12864) op(e3, e2) = all_57_9
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12750) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12865) ~ (all_16_0 = e2) & op(e3, all_16_1) = all_16_0 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12865) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12866) op(e3, e0) = all_16_1
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12788), (12837), (12853), (12864), (12866),
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #571.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12867) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12867) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12868) op(e3, e0) = all_16_1
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12788), (12837), (12853), (12864), (12868),
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #571.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12869) all_57_10 = all_57_11 & op(all_57_11, e2) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e2) = all_57_11 & $i(all_57_11)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9920), (9929), (12767), (12792), (12869),
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #542.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12870) (all_57_12 = all_57_13 & op(all_57_13, e1) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_14 = all_57_15 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_15, e0) = all_57_15 & op(e0, e2) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15))
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12870) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12871) all_57_12 = all_57_13 & op(all_57_13, e1) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 & $i(all_57_13)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12871) implies:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12872) op(e1, e2) = all_57_13
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12873) op(all_57_13, e1) = all_57_13
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12874) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12874) gives:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12875) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12201), (12875), (function-axioms)
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #690.
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.16/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12876) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (170), (9920), (12779), (12876),
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3410.
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.27/50.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12877) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12877) gives:
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12878) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12841), (12878), (function-axioms) are
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2069.
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.27/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12879) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12879) gives:
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12880) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12880) implies:
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12881) op(e3, e0) = e3
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12853), (12881), (function-axioms) are
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12882) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12882) gives:
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12883) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12883) implies:
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12884) op(e2, e0) = e2
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12805), (12884), (function-axioms) are
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #691.
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12885) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12885) implies:
% 255.29/50.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12886) op(e0, e0) = all_57_31
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12887) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12887) gives:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12888) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12888) gives:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12889) all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12889) implies:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12890) op(e0, e3) = e0
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (12755), (12890), (function-axioms) are
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3461.
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12891) all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) & op(e2,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12891) implies:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12892) ~ (all_57_31 = e2)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12893) op(e2, e1) = all_57_19
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12788) gives:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (12208),
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12886) gives:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12894) all_57_31 = e3
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13, e2, e1, simplifying with (12841),
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12872) gives:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12895) all_57_13 = e2
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19, e1, e2, simplifying with (12810),
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12893) gives:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12896) all_57_19 = e0
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12873), (12895) imply:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12897) op(e2, e1) = e2
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e1,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (12810), (12897) gives:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12898) e2 = e0
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12797), (12898) imply:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12899) all_56_2 = e0
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (12762),
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12791), (12899), (function-axioms) are
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3235.
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12900) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12900) implies:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12901) ~ (all_50_1 = e2)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12902) op(e3, e0) = all_50_1
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12853), (12901), (12902), (function-axioms) are
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2457.
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12903) (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) & op(e1,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_5 & op(e1, e2) = all_57_13 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_29)) | (all_57_29 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e3) & ~ (all_57_15 = e2) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 & op(e0,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_21) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12782), (12841), (12903),
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #853.
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12904) all_57_14 = all_57_15 & op(all_57_15, e0) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = all_57_15 & $i(all_57_15)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12904) implies:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12905) op(all_57_15, e0) = all_57_15
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12906) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12906) gives:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12907) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12201), (12907), (function-axioms)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #690.
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12908) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (170), (9920), (12779), (12908),
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3410.
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12909) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12909) gives:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12910) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.29/50.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12841), (12910), (function-axioms) are
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2069.
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12911) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12911) gives:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12912) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12912) implies:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12913) op(e3, e0) = e3
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12853), (12913), (function-axioms) are
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12914) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12914) gives:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12915) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12915) implies:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12916) op(e2, e0) = e2
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12805), (12916), (function-axioms) are
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #691.
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12917) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12917) implies:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12918) op(e0, e0) = all_57_31
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12919) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12919) gives:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12920) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12920) gives:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12921) all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3) =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12208), (12918), (12921), (function-axioms) are
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2051.
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12922) all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) & op(e2,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12922) implies:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12923) all_57_15 = e0
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12905), (12923) imply:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12924) op(e0, e0) = e0
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12208), (12924), (function-axioms) are
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3313.
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12925) (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) & op(e1,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_5 & op(e1, e2) = all_57_13 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_29)) | (all_57_29 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e3) & ~ (all_57_15 = e2) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 & op(e0,
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_21) &
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12782), (12841), (12925),
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #853.
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12926) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12926) gives:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12927) all_56_8 = e2 & op(e1, e1) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12927) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12928) op(e1, e1) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (12196), (12809), (12822),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12928), (function-axioms) are inconsistent by
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3100.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12929) all_56_11 = e2 & op(e1, e0) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12929) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12930) all_56_11 = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12832), (12930) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12931) e2 = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12931) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12932) e2 = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12797), (12932) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12933) all_56_2 = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (12762),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12791), (12933), (function-axioms) are
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3235.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12934) all_56_3 = e1 & op(e2, e2) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12934) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12935) all_56_3 = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12936) op(e2, e2) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (168),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (213), (214),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (376), (12192), (12207), (12755), (12756),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12761), (12762), (12791), (12804), (12935),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12936), (function-axioms) are inconsistent by
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1435.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12937) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12937) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12938) all_56_7 = e1 & op(e1, e2) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12938) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12939) op(e1, e2) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12779), (12939), (function-axioms) are
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3411.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12940) all_56_13 = e1 & op(e0, e2) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12940) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12941) all_56_13 = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (159),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (168), (206), (210), (211), (215), (216),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (232),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (241), (376), (9928), (9929),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930), (12192), (12196), (12200), (12201),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12207), (12755), (12756), (12761), (12762),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12779), (12785), (12827), (12941),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #538.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12942) all_56_10 = e0 & op(e2, e0) = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12942) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12943) all_56_10 = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12804), (12943) are inconsistent by
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3189.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12944) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12944) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12945) all_56_6 = e2 & op(e1, e3) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12200), (12945) are inconsistent by
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3238.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12946) all_56_12 = e2 & op(e0, e3) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12791), (12946) are inconsistent by
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3237.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12947) all_56_13 = e1 & op(e0, e2) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12947) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12948) all_56_13 = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12949) all_56_15 = e0 & op(e0, e0) = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12949) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12950) op(e0, e0) = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12208), (12950), (function-axioms) are
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3313.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12951) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12951) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12952) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (159),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (168), (206), (210), (211), (215), (216),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (232),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (241), (376), (9928), (9929),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930), (12192), (12196), (12200), (12201),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12207), (12755), (12756), (12761), (12762),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12779), (12785), (12948), (12952),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | #538.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12953) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (12207), (12781), (12953),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | #2268.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | (12954) all_54_10 = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (12764), (12954) are inconsistent by
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3436.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | (12955) all_36_2 = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | (12956) ( ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (12955) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | (12957) all_6_2 = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | SIMP: (12957) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | (12958) all_6_2 = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (12958) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | (12959) all_40_2 = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (12958) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | (12960) ~ (all_52_9 = e2)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (12958) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | (12961) ~ (all_52_11 = e2)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (12958) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | (12962) ~ (e3 = e2)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (12958) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | (12963) op(e1, e1) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | (12964) ~ (all_40_2 = e2)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12959), (12964) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | (12965) $false
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12965) is inconsistent.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | (12966) ( ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | (12967) ~ (all_42_2 = e3)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9918), (12967) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | (12968) $false
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12968) is inconsistent.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | (12969) ( ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | (12970) ~ (all_50_2 = e0)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12753), (12970) imply:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | (12971) $false
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12971) is inconsistent.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | (12972) ( ~ (all_50_0 = e1) & op(e3, all_50_1) = all_50_0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | (12973) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12973) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12974) all_56_0 = e1 & op(e3, e3) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (9930), (12974), (function-axioms) are
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3012.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12975) all_56_2 = e1 & op(e2, e3) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12975) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12976) all_56_2 = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12977) op(e2, e3) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12978) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9929), (12977), (12978),
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | #552.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12979) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12979) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12980) all_56_5 = e2 & op(e2, e1) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12980) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12981) op(e2, e1) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12960), (12981), (function-axioms) are
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3465.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12982) all_56_10 = e2 & op(e2, e0) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12982) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12983) all_56_10 = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12984) op(e2, e0) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12985) all_56_15 = e0 & op(e0, e0) = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12985) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12986) op(e0, e0) = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12208), (12986), (function-axioms) are
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3313.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12987) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12987) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12988) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12988) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12989) all_56_9 = e0 & op(e3, e0) = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12756), (12989), (function-axioms) are
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12990) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12990) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12991) all_56_10 = e0 & op(e2, e0) = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12991) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12992) op(e2, e0) = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12984), (12992), (function-axioms) are
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12993) all_56_11 = e0 & op(e1, e0) = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12993) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12994) all_56_11 = e0
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12995) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12995) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12996) all_56_6 = e1 & op(e1, e3) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12996) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12997) op(e1, e3) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12201), (12997), (function-axioms) are
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12998) all_56_7 = e1 & op(e1, e2) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12998) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12999) all_56_7 = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13000) op(e1, e2) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13001) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13001) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13002) all_56_9 = e1 & op(e3, e0) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13002) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13003) all_56_9 = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13004) op(e3, e0) = e1
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13005) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13005) gives:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13006) all_56_0 = e2 & op(e3, e3) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13006) implies:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13007) op(e3, e3) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12762), (13007), (function-axioms) are
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3356.
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13008) all_56_1 = e2 & op(e3, e2) = e2
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13008) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13009) all_56_1 = e2
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13010) op(e3, e2) = e2
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13011) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (231), (232),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (9928), (12192),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12196), (12761), (12762), (13011),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #537.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13012) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13012) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13013) all_56_5 = e0 & op(e2, e1) = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13013) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13014) all_56_5 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13015) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13015) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13016) all_56_4 = e1 & op(e3, e1) = e1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13016) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13017) all_56_4 = e1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (236), (12192), (12762),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13009), (13017), (function-axioms) are
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2995.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13018) all_56_5 = e1 & op(e2, e1) = e1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13018) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13019) all_56_5 = e1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13014), (13019) imply:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13020) e1 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13020) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13021) e1 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12976), (13021) imply:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13022) all_56_2 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12761), (12762), (13022), (function-axioms) are
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3233.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13023) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13023) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13024) all_56_8 = e1 & op(e1, e1) = e1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13024) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13025) op(e1, e1) = e1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12963), (13025), (function-axioms) are
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13026) all_56_14 = e1 & op(e0, e1) = e1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13026) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13027) op(e0, e1) = e1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13028) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13028) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13029) all_56_1 = e0 & op(e3, e2) = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13029) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13030) all_56_1 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (12196), (12762), (13003),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13030), (function-axioms) are inconsistent by
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2414.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13031) all_56_3 = e0 & op(e2, e2) = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13031) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13032) all_56_3 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (12983),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13014), (13032) are inconsistent by sub-proof
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3321.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13033) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13033) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13034) all_56_7 = e0 & op(e1, e2) = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13034) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13035) all_56_7 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12999), (13035) imply:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13036) e1 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12976), (13036) imply:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13037) all_56_2 = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12761), (12762), (13037), (function-axioms) are
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3233.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13038) all_56_13 = e0 & op(e0, e2) = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13038) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13039) op(e0, e2) = e0
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13040) (all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_9 & $i(all_57_9)) |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = all_57_11 & op(all_57_11, e2) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e2) = all_57_11 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13040) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13041) all_57_8 = all_57_9 & op(all_57_9, e3) = all_57_9
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_9 & $i(all_57_9)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13041) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13042) op(e3, e2) = all_57_9
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13043) op(all_57_9, e3) = all_57_9
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13044) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13044) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13045) op(e2, e3) = all_8_1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12969), (12977), (13010), (13042), (13043),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13045), (function-axioms) are inconsistent by
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #536.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13046) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13046) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13047) op(e2, e3) = all_8_1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12969), (12977), (13010), (13042), (13043),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13047), (function-axioms) are inconsistent by
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #536.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13048) all_57_10 = all_57_11 & op(all_57_11, e2) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e2) = all_57_11 & $i(all_57_11)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13048) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13049) op(e2, e2) = all_57_11
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13050) op(all_57_11, e2) = all_57_11
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12750) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11, e2, e2, simplifying with (9929),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13049) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051) all_57_11 = e3
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13050), (13051) imply:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13052) op(e3, e2) = e3
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9920), (13052), (function-axioms) are
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3469.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13053) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (106), (12753), (13004), (13053),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2144.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13054) (all_57_12 = all_57_13 & op(all_57_13, e1) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_14 = all_57_15 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_57_15, e0) = all_57_15 & op(e0, e2) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15))
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13054) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13055) all_57_12 = all_57_13 & op(all_57_13, e1) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e2) = all_57_13 & $i(all_57_13)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13055) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13056) op(e1, e2) = all_57_13
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13057) op(all_57_13, e1) = all_57_13
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12956) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13058) ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13058) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13059) op(e1, e2) = all_36_1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12963), (12966), (13000), (13056), (13057),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13059), (function-axioms) are inconsistent by
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #535.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13060) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13060) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13061) op(e1, e2) = all_36_1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12963), (12966), (13000), (13056), (13057),
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13061), (function-axioms) are inconsistent by
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #535.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13062) all_57_14 = all_57_15 & op(all_57_15, e0) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & op(e0, e2) = all_57_15 & $i(all_57_15)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13062) implies:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13063) op(e0, e2) = all_57_15
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13064) op(all_57_15, e0) = all_57_15
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13065) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13065) gives:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13066) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12201), (13066), (function-axioms)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #690.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13067) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9920), (12963), (13067), (function-axioms)
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2882.
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13068) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13068) gives:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13069) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12201), (12960), (13069),
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2111.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13070) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13070) gives:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13071) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13071) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13072) ~ (all_57_23 = e1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13073) op(e0, e1) = all_57_23
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13027), (13072), (13073), (function-axioms) are
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3132.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13074) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13074) gives:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13075) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13075) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13076) ~ (all_57_23 = e1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13077) op(e0, e1) = all_57_23
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13027), (13076), (13077), (function-axioms) are
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3132.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13078) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13078) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13079) op(e0, e0) = all_57_31
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13080) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13080) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13081) op(e2, e3) = all_8_1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12208), (12969), (12977), (13039), (13063),
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13064), (13079), (13081), (function-axioms) are
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13082) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13082) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13083) op(e2, e3) = all_8_1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12208), (12969), (12977), (13039), (13063),
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13064), (13079), (13083), (function-axioms) are
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13084) all_56_10 = e0 & op(e2, e0) = e0
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13084) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13085) op(e2, e0) = e0
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12984), (13085), (function-axioms) are
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13086) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13086) gives:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13087) all_56_4 = e2 & op(e3, e1) = e2
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13087) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13088) all_56_4 = e2
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (12963), (13088), (function-axioms)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13089) all_56_9 = e2 & op(e3, e0) = e2
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13089) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13090) all_56_9 = e2
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (210), (12207), (12983), (12994),
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13090) are inconsistent by sub-proof #2346.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13091) all_56_10 = e1 & op(e2, e0) = e1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13091) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13092) op(e2, e0) = e1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12984), (13092), (function-axioms) are
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #691.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13093) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13093) gives:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13094) all_56_11 = e1 & op(e1, e0) = e1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12761), (12762), (12976), (12994), (13094),
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #533.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13095) all_56_15 = e1 & op(e0, e0) = e1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13095) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13096) all_56_15 = e1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12207), (13096) are inconsistent by
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3193.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13097) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13097) gives:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13098) all_56_8 = e1 & op(e1, e1) = e1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13098) implies:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13099) op(e1, e1) = e1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12963), (13099), (function-axioms) are
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13100) all_56_11 = e1 & op(e1, e0) = e1
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12761), (12762), (12976), (12994), (13100),
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #533.
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | (13101) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13101) gives:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13102) all_56_6 = e1 & op(e1, e3) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13102) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13103) op(e1, e3) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12201), (13103), (function-axioms) are
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13104) all_56_12 = e1 & op(e0, e3) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13104) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13105) all_56_12 = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (13106) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13106) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13107) all_56_12 = e2 & op(e0, e3) = e2
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13105), (13107) are inconsistent by
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3237.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13108) all_56_13 = e2 & op(e0, e2) = e2
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13108) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13109) all_56_13 = e2
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13110) op(e0, e2) = e2
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13111) all_56_15 = e0 & op(e0, e0) = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13111) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13112) op(e0, e0) = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12208), (13112), (function-axioms) are
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3313.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13113) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13113) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13114) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13114) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13115) all_56_12 = e0 & op(e0, e3) = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13115) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13116) op(e0, e3) = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (12755), (13116), (function-axioms) are
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3461.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13117) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13117) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13118) all_56_13 = e0 & op(e0, e2) = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13118) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13119) op(e0, e2) = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13110), (13119), (function-axioms) are
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3137.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120) all_56_14 = e0 & op(e0, e1) = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13120) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13121) all_56_14 = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13122) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13122) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13123) all_56_4 = e1 & op(e3, e1) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13123) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13124) op(e3, e1) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12197), (13124), (function-axioms) are
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3060.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13125) all_56_5 = e1 & op(e2, e1) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13125) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13126) all_56_5 = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13127) op(e2, e1) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13128) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (232), (233),
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (9928), (12192), (12196),
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12761), (12762), (13105), (13128),
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #539.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13129) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13129) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13130) all_56_5 = e0 & op(e2, e1) = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13126), (13130) are inconsistent by
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2407.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13131) all_56_10 = e0 & op(e2, e0) = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13131) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13132) op(e2, e0) = e0
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13133) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13133) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13134) all_56_9 = e2 & op(e3, e0) = e2
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13134) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13135) all_56_9 = e2
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13136) op(e3, e0) = e2
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13137) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13137) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13138) all_56_0 = e1 & op(e3, e3) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (9930), (13138), (function-axioms) are
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3012.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13139) all_56_1 = e1 & op(e3, e2) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13139) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13140) all_56_1 = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13141) op(e3, e2) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13142) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13142) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13143) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13143) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13144) all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13144) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13145) op(e3, e0) = all_57_25
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13146) op(e3, e2) = all_57_9
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (250), (12213), (12961), (12972), (13136),
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13141), (13145), (13146), (function-axioms) are
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2055.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13147) all_57_5 = e1 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_21 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e1, e3) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_21 & $i(all_57_1) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_21) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13147) implies:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13148) op(e1, e3) = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12201), (13148), (function-axioms) are
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13149) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13127), (13149), (function-axioms) are
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2105.
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13150) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13150) gives:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13151) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13151) gives:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13152) all_57_17 = e3 & ~ (all_57_1 = e1) & ~ (all_57_5
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & op(e3, e3) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e1) = e3 & op(e1, e3) = all_57_5
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_13 & op(e1, e1) = all_57_21
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_29 & $i(all_57_1) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_13) & $i(all_57_21) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13152) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13153) ~ (all_57_5 = e3)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13154) op(e1, e3) = all_57_5
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12201), (13153), (13154), (function-axioms) are
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2463.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13155) all_57_19 = e2 & ~ (all_57_5 = e3) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e1) & ~ (all_57_13 = e2) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e2,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = e2 & op(e1, e3) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & $i(all_57_5)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13155) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13156) op(e2, e1) = e2
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (168), (234), (236),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12192), (12762), (12972), (13127), (13135),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13136), (13140), (13156), (function-axioms) are
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2209.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13157) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13157) gives:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13158) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13158) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13159) op(e3, e0) = e3
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13136), (13159), (function-axioms) are
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13160) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (12201), (12755), (13110), (13132),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13160), (function-axioms) are inconsistent by
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1380.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13161) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13161) gives:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13162) all_56_4 = e1 & op(e3, e1) = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13162) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13163) op(e3, e1) = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12197), (13163), (function-axioms) are
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3060.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13164) all_56_9 = e1 & op(e3, e0) = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13164) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13165) all_56_9 = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13135), (13165) imply:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13166) e2 = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13109), (13166) imply:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13167) all_56_13 = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (231), (235),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (9928), (12207), (12761), (12762), (13114),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13121), (13126), (13167), (function-axioms) are
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1556.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13168) all_56_10 = e2 & op(e2, e0) = e2
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13168) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13169) op(e2, e0) = e2
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13132), (13169), (function-axioms) are
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3381.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13170) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (220), (376), (12196),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12207), (12963), (13170), (function-axioms) are
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #531.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13171) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13171) gives:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13172) all_56_8 = e1 & op(e1, e1) = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13172) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13173) op(e1, e1) = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12963), (13173), (function-axioms) are
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3317.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13174) all_56_14 = e1 & op(e0, e1) = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13174) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13175) all_56_14 = e1
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (208), (12207), (13105),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13114), (13175) are inconsistent by sub-proof
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3304.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13176) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (217), (218),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (376), (12196), (12207), (12963), (13176),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | | #530.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | (13177) all_18_2 = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (13177) imply:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | (13178) all_6_2 = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | REDUCE: (368), (13178) imply:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | (13179) ~ (all_52_11 = e0)
% 255.29/50.31 | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | REDUCE: (370), (13178) imply:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | (13180) ~ (all_52_14 = e0)
% 255.29/50.31 | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | REDUCE: (39), (13178) imply:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | (13181) op(e1, e1) = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 255.29/50.31 | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | (13182) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (13182) gives:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (13183) all_56_6 = e0 & op(e1, e3) = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | ALPHA: (13183) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (13184) all_56_6 = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12200), (13184) imply:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (13185) e3 = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12196), (13185) imply:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (13186) all_56_4 = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (232), (234),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (236), (12192), (12761), (12762), (13186),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | #2589.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (13187) all_56_7 = e0 & op(e1, e2) = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | ALPHA: (13187) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (13188) all_56_7 = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (214),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (226), (227),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (228), (376), (9928), (12200), (13179), (13181),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (13188), (function-axioms) are inconsistent by
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | sub-proof #2570.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.31 | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | (13189) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (13189) gives:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (13190) all_56_8 = e0 & op(e1, e1) = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | ALPHA: (13190) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | (13191) all_56_8 = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | (13192) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (231), (232),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (9928), (12192),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | (12196), (12761), (12762), (13192),
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | #537.
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | (13193) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13193) gives:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | (13194) all_56_5 = e0 & op(e2, e1) = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13194) implies:
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | | (13195) all_56_5 = e0
% 255.29/50.31 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (12196),
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | (13181), (13191), (13195), (function-axioms) are
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2542.
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | (13196) all_56_10 = e0 & op(e2, e0) = e0
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13196) implies:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | (13197) all_56_10 = e0
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | (13198) op(e2, e0) = e0
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | (13199) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (224),
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (12196), (12762), (13197), (13199),
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | #529.
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | (13200) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13200) gives:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | (13201) all_56_7 = e0 & op(e1, e2) = e0
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13201) implies:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | (13202) all_56_7 = e0
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (214),
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (226), (227),
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | (228), (376), (9928), (12200), (13179), (13181),
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | (13202), (function-axioms) are inconsistent by
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2570.
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | (13203) all_56_13 = e0 & op(e0, e2) = e0
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13203) implies:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | (13204) op(e0, e2) = e0
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (13204) gives:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | (13205) all_52_7 = e0
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (13198) gives:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | (13206) all_52_13 = e0
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (13205) imply:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | (13207) ~ (all_52_11 = e0)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13208) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (13209) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9929), (12201), (13209), (function-axioms)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #690.
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (13210) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13198), (13210), (function-axioms) are
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2722.
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13211) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13211) gives:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (13212) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12201), (13212), (function-axioms) are
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2462.
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.29/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (13213) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13213) gives:
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13214) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13214) implies:
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13215) op(e3, e0) = e3
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12192), (13215), (function-axioms) are
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13216) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (159), (12755), (13179), (13181),
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13198), (13216), (function-axioms) are
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2762.
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | (13217) all_56_11 = e0 & op(e1, e0) = e0
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | ALPHA: (13217) implies:
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | (13218) op(e1, e0) = e0
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13180), (13218), (function-axioms) are
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | (13219) all_56_2 = e0 & op(e2, e3) = e0
% 255.50/50.33 | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | ALPHA: (13219) implies:
% 255.50/50.33 | | | | | | | | | | | | | | | | | (13220) op(e2, e3) = e0
% 255.50/50.33 | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12754), (13220), (function-axioms) are
% 255.50/50.33 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #780.
% 255.50/50.33 | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | (13221) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 255.50/50.33 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (12200), (12755), (13221),
% 255.50/50.33 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.33 | | | | | | | | | | | | | | | | #1738.
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | (13222) all_56_7 = e3 & op(e1, e2) = e3
% 255.50/50.33 | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | REF_CLOSE: (162), (9921), (13222), (function-axioms) are
% 255.50/50.33 | | | | | | | | | | | | inconsistent by sub-proof #704.
% 255.50/50.33 | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | (13223) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 255.50/50.33 | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 255.50/50.33 | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | REF_CLOSE: (39), (160), (376), (12193), (13223),
% 255.50/50.33 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.33 | | | | | | | | | | | #2401.
% 255.50/50.33 | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | (13224) all_56_5 = e3 & op(e2, e1) = e3
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | REF_CLOSE: (165), (9923), (13224), (function-axioms) are
% 255.50/50.33 | | | | | | | | | | inconsistent by sub-proof #710.
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | |
% 255.50/50.33 | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | |
% 255.50/50.33 | | | | | | | | | (13225) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3
% 255.50/50.33 | | | | | | | | | & op(e0, e1) = e3)
% 255.50/50.33 | | | | | | | | |
% 255.50/50.33 | | | | | | | | | BETA: splitting (13225) gives:
% 255.50/50.33 | | | | | | | | |
% 255.50/50.33 | | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | (13226) all_56_8 = e3 & op(e1, e1) = e3
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | REF_CLOSE: (39), (376), (13226), (function-axioms) are
% 255.50/50.33 | | | | | | | | | | inconsistent by sub-proof #3249.
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | (13227) all_56_14 = e3 & op(e0, e1) = e3
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (168),
% 255.50/50.33 | | | | | | | | | | (206), (207), (208), (212), (9924), (12192),
% 255.50/50.33 | | | | | | | | | | (12193), (13227), (function-axioms) are
% 255.50/50.33 | | | | | | | | | | inconsistent by sub-proof #528.
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | |
% 255.50/50.33 | | | | | | | | End of split
% 255.50/50.33 | | | | | | | |
% 255.50/50.33 | | | | | | | End of split
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | Case 2:
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | | (13228) all_10_2 = e1
% 255.50/50.33 | | | | | | | (13229) ( ~ (all_10_0 = e0) & op(e3, all_10_1) = all_10_0 &
% 255.50/50.33 | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) & $i(all_10_1))
% 255.50/50.33 | | | | | | | | ( ~ (all_10_1 = e2) & op(e3, e1) = all_10_1 &
% 255.50/50.33 | | | | | | | $i(all_10_1))
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | | COMBINE_EQS: (303), (13228) imply:
% 255.50/50.33 | | | | | | | (13230) all_38_2 = e1
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | | REDUCE: (340), (13228) imply:
% 255.50/50.33 | | | | | | | (13231) ~ (all_52_1 = e1)
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | | REDUCE: (342), (13228) imply:
% 255.50/50.33 | | | | | | | (13232) ~ (all_52_2 = e1)
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | | REDUCE: (344), (13228) imply:
% 255.50/50.33 | | | | | | | (13233) ~ (all_52_3 = e1)
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | | REDUCE: (346), (13228) imply:
% 255.50/50.33 | | | | | | | (13234) ~ (all_52_4 = e1)
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | | REDUCE: (348), (13228) imply:
% 255.50/50.33 | | | | | | | (13235) ~ (all_52_8 = e1)
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | | REDUCE: (350), (13228) imply:
% 255.50/50.33 | | | | | | | (13236) ~ (all_52_12 = e1)
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | | BETA: splitting (231) gives:
% 255.50/50.33 | | | | | | |
% 255.50/50.33 | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | |
% 255.50/50.33 | | | | | | | | (13237) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 &
% 255.50/50.33 | | | | | | | | op(e2, e3) = e1)
% 255.50/50.33 | | | | | | | |
% 255.50/50.33 | | | | | | | | BETA: splitting (13237) gives:
% 255.50/50.33 | | | | | | | |
% 255.50/50.33 | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | |
% 255.50/50.33 | | | | | | | | | (13238) all_56_0 = e1 & op(e3, e3) = e1
% 255.50/50.33 | | | | | | | | |
% 255.50/50.33 | | | | | | | | | ALPHA: (13238) implies:
% 255.50/50.33 | | | | | | | | | (13239) all_56_0 = e1
% 255.50/50.33 | | | | | | | | | (13240) op(e3, e3) = e1
% 255.50/50.33 | | | | | | | | |
% 255.50/50.33 | | | | | | | | | BETA: splitting (49) gives:
% 255.50/50.33 | | | | | | | | |
% 255.50/50.33 | | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | (13241) ~ (all_12_2 = e3)
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | REDUCE: (334), (13241) imply:
% 255.50/50.33 | | | | | | | | | | (13242) ~ (all_4_2 = e3)
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | BETA: splitting (58) gives:
% 255.50/50.33 | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | (13243) ~ (all_18_2 = e0)
% 255.50/50.33 | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | REDUCE: (328), (13243) imply:
% 255.50/50.33 | | | | | | | | | | | (13244) ~ (all_6_2 = e0)
% 255.50/50.33 | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | BETA: splitting (61) gives:
% 255.50/50.33 | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | (13245) ~ (all_20_2 = e1)
% 255.50/50.33 | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | REDUCE: (322), (13245) imply:
% 255.50/50.33 | | | | | | | | | | | | (13246) ~ (all_4_2 = e1)
% 255.50/50.33 | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | BETA: splitting (189) gives:
% 255.50/50.33 | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | (13247) all_54_15 = e3
% 255.50/50.33 | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | REF_CLOSE: (249), (13242), (13247) are inconsistent by
% 255.50/50.33 | | | | | | | | | | | | | sub-proof #3475.
% 255.50/50.33 | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | (13248) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 255.50/50.33 | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | BETA: splitting (13248) gives:
% 255.50/50.33 | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | (13249) all_54_15 = e2
% 255.50/50.33 | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (13249) are inconsistent by
% 255.50/50.33 | | | | | | | | | | | | | | sub-proof #3474.
% 255.50/50.33 | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | (13250) all_54_15 = e1 | all_54_15 = e0
% 255.50/50.33 | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | BETA: splitting (13250) gives:
% 255.50/50.33 | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | (13251) all_54_15 = e1
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | REF_CLOSE: (249), (13246), (13251) are inconsistent by
% 255.50/50.33 | | | | | | | | | | | | | | | sub-proof #3473.
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | (13252) all_54_15 = e0
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | COMBINE_EQS: (249), (13252) imply:
% 255.50/50.33 | | | | | | | | | | | | | | | (13253) all_4_2 = e0
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | SIMP: (13253) implies:
% 255.50/50.33 | | | | | | | | | | | | | | | (13254) all_4_2 = e0
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | REDUCE: (353), (13254) imply:
% 255.50/50.33 | | | | | | | | | | | | | | | (13255) ~ (all_52_3 = e0)
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | REDUCE: (364), (13254) imply:
% 255.50/50.33 | | | | | | | | | | | | | | | (13256) ~ (all_52_7 = e0)
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | REDUCE: (371), (13254) imply:
% 255.50/50.33 | | | | | | | | | | | | | | | (13257) ~ (all_52_11 = e0)
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | REDUCE: (36), (13254) imply:
% 255.50/50.33 | | | | | | | | | | | | | | | (13258) op(e0, e0) = e0
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 255.50/50.33 | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | (13259) ~ (all_36_2 = e2)
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | REDUCE: (306), (13259) imply:
% 255.50/50.33 | | | | | | | | | | | | | | | | (13260) ~ (all_6_2 = e2)
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (158), (159), (162), (163), (170),
% 255.50/50.33 | | | | | | | | | | | | | | | | (194), (241), (338), (352), (363), (376), (9920),
% 255.50/50.33 | | | | | | | | | | | | | | | | (9929), (13244), (13255), (13256), (13257),
% 255.50/50.33 | | | | | | | | | | | | | | | | (13258), (13260), (function-axioms) are
% 255.50/50.33 | | | | | | | | | | | | | | | | inconsistent by sub-proof #701.
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | (13261) all_36_2 = e2
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (13261) imply:
% 255.50/50.33 | | | | | | | | | | | | | | | | (13262) all_6_2 = e2
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | REDUCE: (366), (13262) imply:
% 255.50/50.33 | | | | | | | | | | | | | | | | (13263) ~ (all_52_9 = e2)
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | REDUCE: (39), (13262) imply:
% 255.50/50.33 | | | | | | | | | | | | | | | | (13264) op(e1, e1) = e2
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.50/50.33 | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | (13265) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.50/50.33 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.50/50.33 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.50/50.33 | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.50/50.33 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.50/50.33 | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.50/50.33 | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.50/50.33 | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.50/50.33 | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.50/50.33 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.50/50.33 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.50/50.33 | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.50/50.33 | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.50/50.33 | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | BETA: splitting (13265) gives:
% 255.50/50.33 | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.33 | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | (13266) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.50/50.33 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.50/50.33 | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.50/50.33 | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.50/50.33 | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.50/50.33 | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9929), (13232), (13266), (function-axioms)
% 255.50/50.33 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #702.
% 255.50/50.33 | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | (13267) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.50/50.33 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.50/50.33 | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.50/50.33 | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.50/50.33 | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.50/50.33 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.50/50.33 | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.50/50.33 | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9920), (13264), (13267), (function-axioms)
% 255.50/50.33 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2882.
% 255.50/50.33 | | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | | End of split
% 255.50/50.33 | | | | | | | | | | | | | | | | |
% 255.50/50.33 | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.33 | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | (13268) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.50/50.34 | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.50/50.34 | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.50/50.34 | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.50/50.34 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.50/50.34 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.50/50.34 | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.50/50.34 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.50/50.34 | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.50/50.34 | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.50/50.34 | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.50/50.34 | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.50/50.34 | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.50/50.34 | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.50/50.34 | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.50/50.34 | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.50/50.34 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.50/50.34 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.50/50.34 | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.50/50.34 | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.50/50.34 | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.50/50.34 | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.50/50.34 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.50/50.34 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.50/50.34 | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.50/50.34 | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.50/50.34 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.50/50.34 | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.50/50.34 | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | BETA: splitting (13268) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13269) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13240), (13263), (13269),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.34 | | | | | | | | | | | | | | | | | | #907.
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13270) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.50/50.34 | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.50/50.34 | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.50/50.34 | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.50/50.34 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.50/50.34 | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.50/50.34 | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (13255), (13256), (13257),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13258), (13270), (function-axioms) are
% 255.50/50.34 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3407.
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | End of split
% 255.50/50.34 | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | End of split
% 255.50/50.34 | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | End of split
% 255.50/50.34 | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | End of split
% 255.50/50.34 | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | End of split
% 255.50/50.34 | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | End of split
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | Case 2:
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | (13271) all_20_2 = e1
% 255.50/50.34 | | | | | | | | | | | | (13272) ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0
% 255.50/50.34 | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 255.50/50.34 | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 255.50/50.34 | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | COMBINE_EQS: (322), (13271) imply:
% 255.50/50.34 | | | | | | | | | | | | (13273) all_4_2 = e1
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | SIMP: (13273) implies:
% 255.50/50.34 | | | | | | | | | | | | (13274) all_4_2 = e1
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | COMBINE_EQS: (311), (13274) imply:
% 255.50/50.34 | | | | | | | | | | | | (13275) all_34_2 = e1
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | REDUCE: (364), (13274) imply:
% 255.50/50.34 | | | | | | | | | | | | (13276) ~ (all_52_7 = e1)
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | REDUCE: (371), (13274) imply:
% 255.50/50.34 | | | | | | | | | | | | (13277) ~ (all_52_11 = e1)
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | REDUCE: (373), (13274) imply:
% 255.50/50.34 | | | | | | | | | | | | (13278) ~ (all_52_13 = e1)
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | REDUCE: (13242), (13274) imply:
% 255.50/50.34 | | | | | | | | | | | | (13279) ~ (e3 = e1)
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | BETA: splitting (226) gives:
% 255.50/50.34 | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | (13280) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 255.50/50.34 | | | | | | | | | | | | | & op(e2, e2) = e1)
% 255.50/50.34 | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | REF_CLOSE: (8), (170), (9929), (13234), (13280),
% 255.50/50.34 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.34 | | | | | | | | | | | | | #527.
% 255.50/50.34 | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | Case 2:
% 255.50/50.34 | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | (13281) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 255.50/50.34 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 255.50/50.34 | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | BETA: splitting (13281) gives:
% 255.50/50.34 | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | (13282) all_56_7 = e1 & op(e1, e2) = e1
% 255.50/50.34 | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | ALPHA: (13282) implies:
% 255.50/50.34 | | | | | | | | | | | | | | (13283) all_56_7 = e1
% 255.50/50.34 | | | | | | | | | | | | | | (13284) op(e1, e2) = e1
% 255.50/50.34 | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 255.50/50.34 | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | (13285) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 255.50/50.34 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 255.50/50.34 | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (9929), (13231), (13285),
% 255.50/50.34 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.34 | | | | | | | | | | | | | | | #693.
% 255.50/50.34 | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | Case 2:
% 255.50/50.34 | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | (13286) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 255.50/50.34 | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 255.50/50.34 | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | BETA: splitting (13286) gives:
% 255.50/50.34 | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | (13287) all_56_5 = e1 & op(e2, e1) = e1
% 255.50/50.34 | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | ALPHA: (13287) implies:
% 255.50/50.34 | | | | | | | | | | | | | | | | (13288) all_56_5 = e1
% 255.50/50.34 | | | | | | | | | | | | | | | | (13289) op(e2, e1) = e1
% 255.50/50.34 | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | (13290) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 255.50/50.34 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (13233), (13276), (13290),
% 255.50/50.34 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.34 | | | | | | | | | | | | | | | | | #3076.
% 255.50/50.34 | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.34 | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | (13291) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 255.50/50.34 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | BETA: splitting (13291) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13292) all_56_14 = e1 & op(e0, e1) = e1
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (13277), (13292), (function-axioms) are
% 255.50/50.34 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13293) all_56_15 = e1 & op(e0, e0) = e1
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | ALPHA: (13293) implies:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13294) all_56_15 = e1
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13295) op(e0, e0) = e1
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (13284) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13296) all_52_6 = e1
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (13289) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13297) all_52_9 = e1
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | REDUCE: (128), (13296) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13298) ~ (all_52_7 = e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | REDUCE: (126), (13296) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13299) ~ (all_52_14 = e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | SIMP: (13299) implies:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13300) ~ (all_52_14 = e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | REDUCE: (117), (13297) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13301) ~ (all_52_13 = e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | REDUCE: (366), (13297) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13302) ~ (all_6_2 = e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | SIMP: (13302) implies:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | (13303) ~ (all_6_2 = e1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | (13304) all_54_10 = e3
% 255.50/50.34 | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (376), (13304) are inconsistent by
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | sub-proof #3450.
% 255.50/50.34 | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | (13305) ~ (all_54_10 = e3)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | (13306) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 255.50/50.34 | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (13306) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | (13307) all_54_10 = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (13307) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | (13308) all_6_2 = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | SIMP: (13308) implies:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | (13309) all_6_2 = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (13309) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | (13310) all_36_2 = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (13309) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | (13311) all_40_2 = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (13309) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | (13312) ~ (all_52_2 = e2)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (13309) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | (13313) ~ (all_52_14 = e2)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (13309) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | (13314) ~ (e3 = e2)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (13309) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | (13315) op(e1, e1) = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | (13316) ~ (all_36_2 = e2)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13310), (13316) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | (13317) $false
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | CLOSE: (13317) is inconsistent.
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | (13318) ( ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13318) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | (13319) ~ (all_36_0 = e3) & op(e1, all_36_1) = all_36_0 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13319) implies:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | (13320) ~ (all_36_0 = e3)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | (13321) op(e1, e2) = all_36_1
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | (13322) op(e1, all_36_1) = all_36_0
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | (13323) ~ (all_40_2 = e2)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13311), (13323) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | (13324) $false
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13324) is inconsistent.
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | (13325) ( ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_1,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (13284), (13321) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | (13326) all_36_1 = e1
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13322), (13326) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | (13327) op(e1, e1) = all_36_0
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13325) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13328) ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_40_1 & $i(all_40_0) &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13328) implies:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13329) ~ (all_40_0 = e0)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13330) op(e1, e2) = all_40_1
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13331) op(e1, all_40_1) = all_40_0
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_36_0,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13315), (13327) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13332) all_36_0 = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_40_1,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (13284), (13330) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13333) all_40_1 = e1
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13331), (13333) imply:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13334) op(e1, e1) = all_40_0
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (82), (110), (135),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (144), (145), (148), (159), (160),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (164), (167), (170), (191), (192), (193), (196),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (203), (208), (209), (211), (212),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (220), (221),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (222), (224), (225), (226), (227), (228), (229),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (241), (251), (252), (253), (262),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (263), (272), (275), (376), (9919), (9920),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (9922), (9924), (9928), (9929), (13231), (13232),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13233), (13234), (13239), (13240), (13272),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13275), (13276), (13278), (13283), (13284),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13288), (13289), (13294), (13295), (13300),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13312), (13313), (13315), (13329), (13334),
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | #517.
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13335) ~ (all_40_1 = e3) & op(e1, e2) = all_40_1 &
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13335) implies:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13336) ~ (all_40_1 = e3)
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13337) op(e1, e2) = all_40_1
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_36_0,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13315), (13327) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13338) all_36_0 = e2
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_40_1,
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (13284), (13337) gives:
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | | (13339) all_40_1 = e1
% 255.50/50.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (110),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (135), (140), (141), (144), (145), (148), (159),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (167), (170), (191), (192), (193),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (200), (203), (208), (209), (211),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (220),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (224), (225), (226), (227), (228),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (241), (251), (252), (253),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (262), (263), (272), (275), (376), (9919), (9920),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (9922), (9924), (9928), (9929), (13231), (13232),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13233), (13234), (13239), (13240), (13272),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13275), (13276), (13278), (13283), (13288),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13289), (13294), (13295), (13300), (13312),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13313), (13315), (13336), (13337),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | #516.
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13340) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13340) implies:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13341) ~ (all_36_1 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13342) op(e1, e2) = all_36_1
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | (13343) ~ (all_40_2 = e2)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13311), (13343) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | (13344) $false
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13344) is inconsistent.
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | (13345) ( ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_1,
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (13284), (13342) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | (13346) all_36_1 = e1
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13345) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13347) ~ (all_40_0 = e0) & op(e1, all_40_1) = all_40_0 &
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_40_1 & $i(all_40_0) &
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13347) implies:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13348) ~ (all_40_0 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13349) op(e1, e2) = all_40_1
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13350) op(e1, all_40_1) = all_40_0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_40_1,
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (13284), (13349) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13351) all_40_1 = e1
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13350), (13351) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13352) op(e1, e1) = all_40_0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (82), (110), (135),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (144), (145), (148), (159), (160),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (164), (167), (170), (191), (192), (193), (196),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (203), (208), (209), (211), (212),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (220), (221),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (222), (224), (225), (226), (227), (228), (229),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (241), (251), (252), (253), (262),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (263), (272), (275), (376), (9919), (9920),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (9922), (9924), (9928), (9929), (13231), (13232),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13233), (13234), (13239), (13240), (13272),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13275), (13276), (13278), (13283), (13284),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13288), (13289), (13294), (13295), (13300),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13312), (13313), (13315), (13348), (13352),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | #517.
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13353) ~ (all_40_1 = e3) & op(e1, e2) = all_40_1 &
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13353) implies:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13354) ~ (all_40_1 = e3)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13355) op(e1, e2) = all_40_1
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_40_1,
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (13284), (13355) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13356) all_40_1 = e1
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (110),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (135), (140), (141), (144), (145), (148), (159),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (167), (170), (191), (192), (193),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (200), (203), (208), (209), (211),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (220),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (224), (225), (226), (227), (228),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (241), (251), (252), (253),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (262), (263), (272), (275), (376), (9919), (9920),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (9922), (9924), (9928), (9929), (13231), (13232),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13233), (13234), (13239), (13240), (13272),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13275), (13276), (13278), (13283), (13288),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13289), (13294), (13295), (13300), (13312),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13313), (13315), (13354), (13355),
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | #516.
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | (13357) all_54_10 = e1 | all_54_10 = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (13244), (13303), (13357) are inconsistent
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | by sub-proof #2866.
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | (13358) all_56_10 = e1 & op(e2, e0) = e1
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13278), (13358), (function-axioms) are
% 255.50/50.35 | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | (13359) all_56_13 = e1 & op(e0, e2) = e1
% 255.50/50.35 | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | ALPHA: (13359) implies:
% 255.50/50.35 | | | | | | | | | | | | | | (13360) op(e0, e2) = e1
% 255.50/50.35 | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | REF_CLOSE: (158), (13276), (13360), (function-axioms) are
% 255.50/50.35 | | | | | | | | | | | | | | inconsistent by sub-proof #3152.
% 255.50/50.35 | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | End of split
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | (13361) all_18_2 = e0
% 255.50/50.35 | | | | | | | | | | | (13362) ( ~ (all_18_0 = e2) & op(e1, all_18_1) = all_18_0
% 255.50/50.35 | | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 255.50/50.35 | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 255.50/50.35 | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | COMBINE_EQS: (328), (13361) imply:
% 255.50/50.35 | | | | | | | | | | | (13363) all_6_2 = e0
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | SIMP: (13363) implies:
% 255.50/50.35 | | | | | | | | | | | (13364) all_6_2 = e0
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | COMBINE_EQS: (320), (13364) imply:
% 255.50/50.35 | | | | | | | | | | | (13365) all_28_2 = e0
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | REDUCE: (352), (13364) imply:
% 255.50/50.35 | | | | | | | | | | | (13366) ~ (all_52_2 = e0)
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | REDUCE: (363), (13364) imply:
% 255.50/50.35 | | | | | | | | | | | (13367) ~ (all_52_6 = e0)
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | REDUCE: (365), (13364) imply:
% 255.50/50.35 | | | | | | | | | | | (13368) ~ (all_52_8 = e0)
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | REDUCE: (366), (13364) imply:
% 255.50/50.35 | | | | | | | | | | | (13369) ~ (all_52_9 = e0)
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | REDUCE: (368), (13364) imply:
% 255.50/50.35 | | | | | | | | | | | (13370) ~ (all_52_11 = e0)
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | REDUCE: (370), (13364) imply:
% 255.50/50.35 | | | | | | | | | | | (13371) ~ (all_52_14 = e0)
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | REDUCE: (376), (13364) imply:
% 255.50/50.35 | | | | | | | | | | | (13372) ~ (e3 = e0)
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | BETA: splitting (213) gives:
% 255.50/50.35 | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | (13373) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 255.50/50.35 | | | | | | | | | | | | & op(e1, e2) = e0)
% 255.50/50.35 | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | REF_CLOSE: (162), (163), (13366), (13367), (13373),
% 255.50/50.35 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.35 | | | | | | | | | | | | #2864.
% 255.50/50.35 | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | (13374) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 255.50/50.35 | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 255.50/50.35 | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | BETA: splitting (13374) gives:
% 255.50/50.35 | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | (13375) all_56_8 = e0 & op(e1, e1) = e0
% 255.50/50.35 | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | ALPHA: (13375) implies:
% 255.50/50.35 | | | | | | | | | | | | | (13376) all_56_8 = e0
% 255.50/50.35 | | | | | | | | | | | | | (13377) op(e1, e1) = e0
% 255.50/50.35 | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | BETA: splitting (61) gives:
% 255.50/50.35 | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | (13378) ~ (all_20_2 = e1)
% 255.50/50.35 | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | REDUCE: (322), (13378) imply:
% 255.50/50.35 | | | | | | | | | | | | | | (13379) ~ (all_4_2 = e1)
% 255.50/50.35 | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 255.50/50.35 | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | (13380) all_54_15 = e3
% 255.50/50.35 | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | COMBINE_EQS: (249), (13380) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | (13381) all_4_2 = e3
% 255.50/50.35 | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | REDUCE: (13242), (13381) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | (13382) $false
% 255.50/50.35 | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | CLOSE: (13382) is inconsistent.
% 255.50/50.35 | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | (13383) ~ (all_54_15 = e3)
% 255.50/50.35 | | | | | | | | | | | | | | | (13384) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 255.50/50.35 | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | BETA: splitting (13384) gives:
% 255.50/50.35 | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | (13385) all_54_15 = e2
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (13385) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | (13386) all_4_2 = e2
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | REDUCE: (375), (13386) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | (13387) $false
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | CLOSE: (13387) is inconsistent.
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | (13388) ~ (all_54_15 = e2)
% 255.50/50.35 | | | | | | | | | | | | | | | | (13389) all_54_15 = e1 | all_54_15 = e0
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | BETA: splitting (13389) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | (13390) all_54_15 = e1
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (13390) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | (13391) all_4_2 = e1
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | REDUCE: (13379), (13391) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | (13392) $false
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | CLOSE: (13392) is inconsistent.
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | (13393) all_54_15 = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (13393) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | (13394) all_4_2 = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | REDUCE: (353), (13394) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | (13395) ~ (all_52_3 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | REDUCE: (364), (13394) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | (13396) ~ (all_52_7 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | REDUCE: (375), (13394) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | (13397) ~ (e2 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | REDUCE: (13379), (13394) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | (13398) ~ (e1 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | (13399) all_56_15 = e0 & op(e0, e0) = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | ALPHA: (13399) implies:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | (13400) all_56_15 = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | (13401) op(e0, e0) = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | (13402) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (13402) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | (13403) all_56_2 = e0 & op(e2, e3) = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | ALPHA: (13403) implies:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | (13404) op(e2, e3) = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | (13405) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13405) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13406) all_56_1 = e0 & op(e3, e2) = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13406) implies:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13407) op(e3, e2) = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (13404) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13408) all_52_1 = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (13407) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13409) all_52_4 = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (13408) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13410) ~ (all_52_3 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (13408) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13411) ~ (all_52_13 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | SIMP: (13411) implies:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13412) ~ (all_52_13 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (13409) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13413) ~ (all_52_6 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (13409) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | (13414) ~ (all_52_7 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | (13415) ~ (all_42_2 = e3)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9918), (13415) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | (13416) $false
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13416) is inconsistent.
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | (13417) ( ~ (all_42_0 = e0) & op(e2, all_42_1) = all_42_0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13418) ~ (all_8_0 = e1) & op(e2, all_8_1) = all_8_0 &
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13418) implies:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13419) ~ (all_8_0 = e1)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13420) op(e2, e3) = all_8_1
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13421) op(e2, all_8_1) = all_8_0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_1,
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (13404), (13420) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13422) all_8_1 = e0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13421), (13422) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13423) op(e2, e0) = all_8_0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, e0, e2, simplifying with (164), (13423)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13424) all_52_13 = all_8_0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (13424) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13425) all_54_7 = all_8_0
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9924), (13424) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13426) ~ (all_8_0 = e3)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13412), (13424) imply:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | (13427) ~ (all_8_0 = e0)
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | (13428) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13428) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (13429) all_56_9 = e1 & op(e3, e0) = e1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13236), (13429), (function-axioms) are
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (13430) all_56_10 = e1 & op(e2, e0) = e1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (197), (13419), (13423), (13425), (13426),
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (13427), (13430), (function-axioms) are
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #613.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | (13431) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13431) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (13432) all_56_11 = e1 & op(e1, e0) = e1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13432) implies:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (13433) all_56_11 = e1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (13434) op(e1, e0) = e1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13435) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13435) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13436) all_56_9 = e3 & op(e3, e0) = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13436) implies:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13437) all_56_9 = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13438) op(e3, e0) = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13439) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13439) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13440) all_56_6 = e3 & op(e1, e3) = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13440) implies:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13441) all_56_6 = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13442) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (158), (162), (225), (9928),
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13240), (13367), (13396), (13442),
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #515.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13443) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13443) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13444) all_56_4 = e2 & op(e3, e1) = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13444) implies:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13445) all_56_4 = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13446) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13446) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13447) all_56_6 = e2 & op(e1, e3) = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13447) implies:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13448) all_56_6 = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13441), (13448) are inconsistent by
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3251.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13449) all_56_7 = e2 & op(e1, e2) = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13449) implies:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13450) all_56_7 = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13451) op(e1, e2) = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13452) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13452) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13453) all_56_4 = e3 & op(e3, e1) = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13445), (13453) are inconsistent by
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2471.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13454) all_56_5 = e3 & op(e2, e1) = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9923), (13454), (function-axioms) are
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #710.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13455) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13455) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13456) all_56_8 = e3 & op(e1, e1) = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (13456), (function-axioms) are
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13457) all_56_14 = e3 & op(e0, e1) = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13457) implies:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13458) all_56_14 = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13459) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13459) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13460) all_56_9 = e2 & op(e3, e0) = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13460) implies:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13461) op(e3, e0) = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13438), (13461), (function-axioms) are
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13462) all_56_10 = e2 & op(e2, e0) = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13462) implies:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13463) all_56_10 = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13464) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13464) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13465) all_56_4 = e1 & op(e3, e1) = e1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13235), (13465), (function-axioms) are
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #788.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13466) all_56_5 = e1 & op(e2, e1) = e1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13466) implies:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13467) op(e2, e1) = e1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13468) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13468) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13469) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9929), (13232), (13469), (function-axioms)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #702.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13470) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13467), (13470), (function-axioms) are
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2105.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13471) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13471) gives:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13472) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13451), (13467), (13472), (function-axioms)
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2235.
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13473) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (13370), (13395), (13396),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13401), (13473), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3407.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13474) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13474) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13475) all_56_8 = e1 & op(e1, e1) = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13376), (13475) are inconsistent by
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3057.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13476) all_56_14 = e1 & op(e0, e1) = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13476) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13477) all_56_14 = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13458), (13477) imply:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13478) e3 = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13478) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13479) e3 = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13437), (13479) imply:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13480) all_56_9 = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (212), (13401), (13433), (13463),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13480), (function-axioms) are inconsistent by
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2798.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13481) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13481) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13482) all_56_11 = e2 & op(e1, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13482) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13483) all_56_11 = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (214), (13376), (13441), (13450),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13483) are inconsistent by sub-proof #2247.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13484) all_56_15 = e2 & op(e0, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13484) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13485) all_56_15 = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13400), (13485) imply:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13486) e2 = e0
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13450), (13486) imply:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13487) all_56_7 = e0
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (214),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (226), (227),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (376), (9928), (13370), (13377), (13441),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13487), (function-axioms) are inconsistent by
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2570.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13488) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13488) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13489) all_56_8 = e2 & op(e1, e1) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (217),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (376), (13370), (13445), (13489),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #597.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13490) all_56_11 = e2 & op(e1, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13490) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13491) op(e1, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13434), (13491), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3109.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13492) all_56_9 = e2 & op(e3, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13492) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13493) op(e3, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13438), (13493), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13494) all_56_7 = e3 & op(e1, e2) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13494) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13495) all_56_7 = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13496) op(e1, e2) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13497) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (158), (162), (225), (9928),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13240), (13367), (13396), (13497),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #515.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13498) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13498) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13499) all_56_4 = e2 & op(e3, e1) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13499) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13500) all_56_4 = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13501) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (9929), (13234), (13501),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #527.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13502) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13502) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13503) all_56_7 = e1 & op(e1, e2) = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13503) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13504) op(e1, e2) = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13496), (13504), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13505) all_56_13 = e1 & op(e0, e2) = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13505) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13506) all_56_13 = e1
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13507) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13507) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13508) all_56_4 = e3 & op(e3, e1) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13500), (13508) are inconsistent by
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2471.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13509) all_56_5 = e3 & op(e2, e1) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9923), (13509), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #710.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13510) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13510) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13511) all_56_8 = e3 & op(e1, e1) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (13511), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13512) all_56_14 = e3 & op(e0, e1) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13512) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13513) all_56_14 = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13514) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13514) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13515) all_56_12 = e2 & op(e0, e3) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13515) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13516) all_56_12 = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13517) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13517) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13518) all_56_9 = e2 & op(e3, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13518) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13519) op(e3, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13438), (13519), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13520) all_56_10 = e2 & op(e2, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13520) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13521) all_56_10 = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13522) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13522) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13523) all_56_0 = e3 & op(e3, e3) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13523) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13524) op(e3, e3) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13240), (13524), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13525) all_56_2 = e3 & op(e2, e3) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13525) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13526) all_56_2 = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (224),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928), (13521), (13526) are inconsistent by
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2445.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13527) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13527) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13528) all_56_6 = e3 & op(e1, e3) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13528) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13529) all_56_6 = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (13376),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13377), (13495), (13496), (13529),
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2684.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13530) all_56_12 = e3 & op(e0, e3) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13516), (13530) are inconsistent by
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2756.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13531) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13531) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13532) all_56_11 = e2 & op(e1, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13532) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13533) op(e1, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13434), (13533), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3109.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13534) all_56_15 = e2 & op(e0, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13400), (13534) are inconsistent by
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2783.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13535) all_56_13 = e2 & op(e0, e2) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13506), (13535) are inconsistent by
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2670.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13536) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13536) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13537) all_56_14 = e2 & op(e0, e1) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13537) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13538) all_56_14 = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13513), (13538) are inconsistent by
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3105.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13539) all_56_15 = e2 & op(e0, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13400), (13539) are inconsistent by
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2783.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13540) all_56_9 = e2 & op(e3, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13540) implies:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13541) op(e3, e0) = e2
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13438), (13541), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13542) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13542) gives:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13543) all_56_8 = e3 & op(e1, e1) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (376), (13543), (function-axioms) are
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13544) all_56_11 = e3 & op(e1, e0) = e3
% 255.50/50.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13433), (13544) are inconsistent by
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #514.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13545) all_56_10 = e3 & op(e2, e0) = e3
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9924), (13545), (function-axioms) are
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13546) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13546) gives:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13547) all_56_11 = e3 & op(e1, e0) = e3
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13433), (13547) are inconsistent by
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #514.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13548) all_56_15 = e3 & op(e0, e0) = e3
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13548) implies:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13549) op(e0, e0) = e3
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13401), (13549), (function-axioms) are
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3313.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (13550) all_56_15 = e1 & op(e0, e0) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13550) implies:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (13551) all_56_15 = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13400), (13551) are inconsistent by
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2474.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | (13552) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13552) implies:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | (13553) ~ (all_8_1 = e0)
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | (13554) op(e2, e3) = all_8_1
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13404), (13417), (13553), (13554),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | (13555) all_56_3 = e0 & op(e2, e2) = e0
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9928), (13555) are inconsistent by sub-proof
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | | #1471.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | (13556) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (13367), (13396), (13556),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | | #2774.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (13557) all_56_3 = e0 & op(e2, e2) = e0
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9928), (13557) are inconsistent by sub-proof
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | #1471.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | (13558) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (165),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | (222), (223), (224), (229), (13239), (13366),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | (13369), (13395), (13558), (function-axioms) are
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #789.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | (13559) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 255.50/50.38 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 255.50/50.38 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 255.50/50.38 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 255.50/50.38 | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | ALPHA: (13559) implies:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | (13560) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 255.50/50.38 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 255.50/50.38 | | | | | | | | | | | | | | | | | | e1) = e0)
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (13370), (13395), (13396),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | (13560), (function-axioms) are inconsistent by
% 255.50/50.38 | | | | | | | | | | | | | | | | | | sub-proof #3078.
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | (13561) all_20_2 = e1
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | COMBINE_EQS: (322), (13561) imply:
% 255.50/50.38 | | | | | | | | | | | | | | (13562) all_4_2 = e1
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | SIMP: (13562) implies:
% 255.50/50.38 | | | | | | | | | | | | | | (13563) all_4_2 = e1
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | REDUCE: (364), (13563) imply:
% 255.50/50.38 | | | | | | | | | | | | | | (13564) ~ (all_52_7 = e1)
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | REDUCE: (371), (13563) imply:
% 255.50/50.38 | | | | | | | | | | | | | | (13565) ~ (all_52_11 = e1)
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | REDUCE: (373), (13563) imply:
% 255.50/50.38 | | | | | | | | | | | | | | (13566) ~ (all_52_13 = e1)
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | REDUCE: (374), (13563) imply:
% 255.50/50.38 | | | | | | | | | | | | | | (13567) ~ (all_52_14 = e1)
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | REDUCE: (13242), (13563) imply:
% 255.50/50.38 | | | | | | | | | | | | | | (13568) ~ (e3 = e1)
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | Case 1:
% 255.50/50.38 | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | (13569) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 255.50/50.38 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 255.50/50.38 | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (9929), (13231), (13569),
% 255.50/50.38 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.38 | | | | | | | | | | | | | | | #693.
% 255.50/50.38 | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | (13570) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 255.50/50.38 | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 255.50/50.38 | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | BETA: splitting (13570) gives:
% 255.50/50.38 | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | Case 1:
% 255.50/50.38 | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | (13571) all_56_5 = e1 & op(e2, e1) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | ALPHA: (13571) implies:
% 255.50/50.38 | | | | | | | | | | | | | | | | (13572) op(e2, e1) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 255.50/50.38 | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.38 | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | (13573) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 255.50/50.38 | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | BETA: splitting (13573) gives:
% 255.50/50.38 | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | (13574) all_56_6 = e1 & op(e1, e3) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | ALPHA: (13574) implies:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | (13575) op(e1, e3) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13232), (13575), (function-axioms) are
% 255.50/50.38 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3447.
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | (13576) all_56_7 = e1 & op(e1, e2) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | ALPHA: (13576) implies:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | (13577) all_56_7 = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | | (13578) op(e1, e2) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | (13579) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (13233), (13564), (13579),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | #3076.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | (13580) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (13580) gives:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (13581) all_56_14 = e1 & op(e0, e1) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (13565), (13581), (function-axioms) are
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (13582) all_56_15 = e1 & op(e0, e0) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | ALPHA: (13582) implies:
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (13583) all_56_15 = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (13584) op(e0, e0) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (73), (94), (110), (112), (113), (117),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (139), (140), (143), (144),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (145), (146), (157), (158), (160), (162), (163),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (191), (192), (193), (196), (197), (200), (201),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (202), (203), (206), (207), (208), (209), (212),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (218), (219), (220), (221),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (230), (232), (233),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (235), (236), (238), (241), (250), (251), (252),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (253), (262), (263), (272), (273), (274), (275),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (376), (9917), (9918), (9919), (9920), (9922),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (9923), (9924), (9928), (9929), (13233), (13236),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (13239), (13240), (13362), (13365), (13366),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (13367), (13368), (13369), (13370), (13371),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (13377), (13572), (13577), (13578), (13583),
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | (13584), (function-axioms) are inconsistent by
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | | sub-proof #593.
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | (13585) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 255.50/50.38 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 255.50/50.38 | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (13376), (13567), (13585),
% 255.50/50.38 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.50/50.38 | | | | | | | | | | | | | | | | | #3049.
% 255.50/50.38 | | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | (13586) all_56_10 = e1 & op(e2, e0) = e1
% 255.50/50.38 | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13566), (13586), (function-axioms) are
% 255.50/50.38 | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 255.50/50.38 | | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | (13587) all_56_11 = e0 & op(e1, e0) = e0
% 255.50/50.38 | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | ALPHA: (13587) implies:
% 255.50/50.38 | | | | | | | | | | | | | (13588) op(e1, e0) = e0
% 255.50/50.38 | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | | REF_CLOSE: (160), (13371), (13588), (function-axioms) are
% 255.50/50.38 | | | | | | | | | | | | | inconsistent by sub-proof #3334.
% 255.50/50.38 | | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | | End of split
% 255.50/50.38 | | | | | | | | | |
% 255.50/50.38 | | | | | | | | | Case 2:
% 255.50/50.38 | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | (13589) all_12_2 = e3
% 255.73/50.38 | | | | | | | | | | (13590) ( ~ (all_12_0 = e1) & op(e0, all_12_1) = all_12_0
% 255.73/50.38 | | | | | | | | | | & op(e0, e3) = all_12_1 & $i(all_12_0) &
% 255.73/50.38 | | | | | | | | | | $i(all_12_1)) | ( ~ (all_12_1 = e2) & op(e0, e3)
% 255.73/50.38 | | | | | | | | | | = all_12_1 & $i(all_12_1))
% 255.73/50.38 | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | COMBINE_EQS: (334), (13589) imply:
% 255.73/50.38 | | | | | | | | | | (13591) all_4_2 = e3
% 255.73/50.38 | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | SIMP: (13591) implies:
% 255.73/50.38 | | | | | | | | | | (13592) all_4_2 = e3
% 255.73/50.38 | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | COMBINE_EQS: (335), (13592) imply:
% 255.73/50.38 | | | | | | | | | | (13593) all_26_2 = e3
% 255.73/50.38 | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | REDUCE: (372), (13592) imply:
% 255.73/50.38 | | | | | | | | | | (13594) ~ (all_52_12 = e3)
% 255.73/50.38 | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | REDUCE: (374), (13592) imply:
% 255.73/50.38 | | | | | | | | | | (13595) ~ (all_52_14 = e3)
% 255.73/50.38 | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | BETA: splitting (220) gives:
% 255.73/50.38 | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | Case 1:
% 255.73/50.38 | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | (13596) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 255.73/50.38 | | | | | | | | | | | & op(e2, e1) = e3)
% 255.73/50.38 | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | BETA: splitting (13596) gives:
% 255.73/50.38 | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | Case 1:
% 255.73/50.38 | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | (13597) all_56_4 = e3 & op(e3, e1) = e3
% 255.73/50.38 | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | ALPHA: (13597) implies:
% 255.73/50.38 | | | | | | | | | | | | (13598) all_56_4 = e3
% 255.73/50.38 | | | | | | | | | | | | (13599) op(e3, e1) = e3
% 255.73/50.38 | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | BETA: splitting (216) gives:
% 255.73/50.38 | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | Case 1:
% 255.73/50.38 | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | (13600) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 255.73/50.38 | | | | | | | | | | | | | & op(e1, e2) = e3)
% 255.73/50.38 | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | BETA: splitting (13600) gives:
% 255.73/50.38 | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | Case 1:
% 255.73/50.38 | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | (13601) all_56_6 = e3 & op(e1, e3) = e3
% 255.73/50.38 | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (58), (70), (73),
% 255.73/50.38 | | | | | | | | | | | | | | (85), (88), (91), (110), (120), (128), (134),
% 255.73/50.38 | | | | | | | | | | | | | | (141), (157), (158), (159), (160), (162), (163),
% 255.73/50.38 | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (194),
% 255.73/50.38 | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (212), (213),
% 255.73/50.38 | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 255.73/50.38 | | | | | | | | | | | | | | (222), (223), (225), (226), (227), (228), (229),
% 255.73/50.38 | | | | | | | | | | | | | | (230), (231), (233), (234), (236), (238), (239),
% 255.73/50.38 | | | | | | | | | | | | | | (241), (306), (320), (328), (336), (338), (363),
% 255.73/50.38 | | | | | | | | | | | | | | (365), (366), (368), (370), (9924), (9928),
% 255.73/50.38 | | | | | | | | | | | | | | (9929), (13229), (13230), (13231), (13232),
% 255.73/50.38 | | | | | | | | | | | | | | (13233), (13234), (13235), (13236), (13239),
% 255.73/50.38 | | | | | | | | | | | | | | (13240), (13590), (13593), (13594), (13595),
% 255.73/50.38 | | | | | | | | | | | | | | (13598), (13599), (13601), (function-axioms) are
% 255.73/50.38 | | | | | | | | | | | | | | inconsistent by sub-proof #491.
% 255.73/50.38 | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | Case 2:
% 255.73/50.38 | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | (13602) all_56_7 = e3 & op(e1, e2) = e3
% 255.73/50.38 | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | ALPHA: (13602) implies:
% 255.73/50.38 | | | | | | | | | | | | | | (13603) op(e1, e2) = e3
% 255.73/50.38 | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 255.73/50.38 | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | Case 1:
% 255.73/50.38 | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | (13604) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 255.73/50.38 | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 255.73/50.38 | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (9919), (13240), (13604),
% 255.73/50.38 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.38 | | | | | | | | | | | | | | | #714.
% 255.73/50.38 | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | Case 2:
% 255.73/50.38 | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | (13605) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 255.73/50.38 | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 255.73/50.38 | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | BETA: splitting (13605) gives:
% 255.73/50.38 | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | Case 1:
% 255.73/50.38 | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | (13606) all_56_6 = e3 & op(e1, e3) = e3
% 255.73/50.38 | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (58), (70), (73),
% 255.73/50.38 | | | | | | | | | | | | | | | | (85), (88), (91), (110), (120), (128), (134),
% 255.73/50.38 | | | | | | | | | | | | | | | | (141), (157), (158), (159), (160), (162), (163),
% 255.73/50.38 | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (194),
% 255.73/50.38 | | | | | | | | | | | | | | | | (206), (207), (208), (210), (211), (212), (213),
% 255.73/50.38 | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 255.73/50.38 | | | | | | | | | | | | | | | | (222), (223), (225), (226), (227), (228), (229),
% 255.73/50.38 | | | | | | | | | | | | | | | | (230), (231), (233), (234), (236), (238), (239),
% 255.73/50.38 | | | | | | | | | | | | | | | | (241), (306), (320), (328), (336), (338), (363),
% 255.73/50.38 | | | | | | | | | | | | | | | | (365), (366), (368), (370), (9924), (9928),
% 255.73/50.38 | | | | | | | | | | | | | | | | (9929), (13229), (13230), (13231), (13232),
% 255.73/50.38 | | | | | | | | | | | | | | | | (13233), (13234), (13235), (13236), (13239),
% 255.73/50.38 | | | | | | | | | | | | | | | | (13240), (13590), (13593), (13594), (13595),
% 255.73/50.38 | | | | | | | | | | | | | | | | (13598), (13599), (13606), (function-axioms) are
% 255.73/50.38 | | | | | | | | | | | | | | | | inconsistent by sub-proof #491.
% 255.73/50.38 | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | Case 2:
% 255.73/50.38 | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | (13607) all_56_12 = e3 & op(e0, e3) = e3
% 255.73/50.38 | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | ALPHA: (13607) implies:
% 255.73/50.38 | | | | | | | | | | | | | | | | (13608) all_56_12 = e3
% 255.73/50.38 | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 255.73/50.38 | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.38 | | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | | (13609) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 255.73/50.38 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 255.73/50.38 | | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (9929), (13234), (13609),
% 255.73/50.38 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.38 | | | | | | | | | | | | | | | | | #527.
% 255.73/50.38 | | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.38 | | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | | (13610) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 255.73/50.38 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 255.73/50.38 | | | | | | | | | | | | | | | | |
% 255.73/50.38 | | | | | | | | | | | | | | | | | BETA: splitting (13610) gives:
% 255.73/50.38 | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | (13611) all_56_7 = e1 & op(e1, e2) = e1
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | ALPHA: (13611) implies:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | (13612) op(e1, e2) = e1
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13603), (13612), (function-axioms) are
% 255.73/50.39 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | (13613) all_56_13 = e1 & op(e0, e2) = e1
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | ALPHA: (13613) implies:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | (13614) all_56_13 = e1
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | (13615) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (9924), (13594), (13615),
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | #3006.
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | (13616) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (13616) gives:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | (13617) all_56_11 = e3 & op(e1, e0) = e3
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (13617) implies:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | (13618) op(e1, e0) = e3
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13595), (13618), (function-axioms) are
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3141.
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | (13619) all_56_15 = e3 & op(e0, e0) = e3
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (13619) implies:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | (13620) all_56_15 = e3
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (208), (13608),
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | (13614), (13620) are inconsistent by sub-proof
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | | #2667.
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | (13621) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 255.73/50.39 | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 255.73/50.39 | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | REF_CLOSE: (39), (160), (376), (13595), (13621),
% 255.73/50.39 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.39 | | | | | | | | | | | | | #2401.
% 255.73/50.39 | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | (13622) all_56_5 = e3 & op(e2, e1) = e3
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | REF_CLOSE: (165), (9923), (13622), (function-axioms) are
% 255.73/50.39 | | | | | | | | | | | | inconsistent by sub-proof #710.
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | (13623) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 255.73/50.39 | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 255.73/50.39 | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | BETA: splitting (13623) gives:
% 255.73/50.39 | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | (13624) all_56_8 = e3 & op(e1, e1) = e3
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | REF_CLOSE: (39), (376), (13624), (function-axioms) are
% 255.73/50.39 | | | | | | | | | | | | inconsistent by sub-proof #3249.
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | (13625) all_56_14 = e3 & op(e0, e1) = e3
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (168),
% 255.73/50.39 | | | | | | | | | | | | (206), (207), (208), (212), (9924), (13594),
% 255.73/50.39 | | | | | | | | | | | | (13595), (13625), (function-axioms) are
% 255.73/50.39 | | | | | | | | | | | | inconsistent by sub-proof #528.
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | |
% 255.73/50.39 | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | |
% 255.73/50.39 | | | | | | | | | (13626) all_56_2 = e1 & op(e2, e3) = e1
% 255.73/50.39 | | | | | | | | |
% 255.73/50.39 | | | | | | | | | REF_CLOSE: (167), (13231), (13626), (function-axioms) are
% 255.73/50.39 | | | | | | | | | inconsistent by sub-proof #895.
% 255.73/50.39 | | | | | | | | |
% 255.73/50.39 | | | | | | | | End of split
% 255.73/50.39 | | | | | | | |
% 255.73/50.39 | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | |
% 255.73/50.39 | | | | | | | | (13627) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 &
% 255.73/50.39 | | | | | | | | op(e0, e3) = e1)
% 255.73/50.39 | | | | | | | |
% 255.73/50.39 | | | | | | | | REF_CLOSE: (159), (163), (13232), (13233), (13627),
% 255.73/50.39 | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.39 | | | | | | | | #3022.
% 255.73/50.39 | | | | | | | |
% 255.73/50.39 | | | | | | | End of split
% 255.73/50.39 | | | | | | |
% 255.73/50.39 | | | | | | End of split
% 255.73/50.39 | | | | | |
% 255.73/50.39 | | | | | End of split
% 255.73/50.39 | | | | |
% 255.73/50.39 | | | | Case 2:
% 255.73/50.39 | | | | |
% 255.73/50.39 | | | | | (13628) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 255.73/50.39 | | | | | op(e2, e0) = e3)
% 255.73/50.39 | | | | |
% 255.73/50.39 | | | | | BETA: splitting (13628) gives:
% 255.73/50.39 | | | | |
% 255.73/50.39 | | | | | Case 1:
% 255.73/50.39 | | | | | |
% 255.73/50.39 | | | | | | (13629) all_56_5 = e3 & op(e2, e1) = e3
% 255.73/50.39 | | | | | |
% 255.73/50.39 | | | | | | REF_CLOSE: (165), (9923), (13629), (function-axioms) are
% 255.73/50.39 | | | | | | inconsistent by sub-proof #710.
% 255.73/50.39 | | | | | |
% 255.73/50.39 | | | | | Case 2:
% 255.73/50.39 | | | | | |
% 255.73/50.39 | | | | | | (13630) all_56_10 = e3 & op(e2, e0) = e3
% 255.73/50.39 | | | | | |
% 255.73/50.39 | | | | | | REF_CLOSE: (164), (9924), (13630), (function-axioms) are
% 255.73/50.39 | | | | | | inconsistent by sub-proof #3007.
% 255.73/50.39 | | | | | |
% 255.73/50.39 | | | | | End of split
% 255.73/50.39 | | | | |
% 255.73/50.39 | | | | End of split
% 255.73/50.39 | | | |
% 255.73/50.39 | | | End of split
% 255.73/50.39 | | |
% 255.73/50.39 | | Case 2:
% 255.73/50.39 | | |
% 255.73/50.39 | | | (13631) all_6_2 = e3
% 255.73/50.39 | | | (13632) ( ~ (all_6_0 = e2) & op(e1, all_6_1) = all_6_0 & op(e1, e3) =
% 255.73/50.39 | | | all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e0) &
% 255.73/50.39 | | | op(e1, e3) = all_6_1 & $i(all_6_1))
% 255.73/50.39 | | |
% 255.73/50.39 | | | COMBINE_EQS: (299), (13631) imply:
% 255.73/50.39 | | | (13633) all_46_2 = e3
% 255.73/50.39 | | |
% 255.73/50.39 | | | REDUCE: (352), (13631) imply:
% 255.73/50.39 | | | (13634) ~ (all_52_2 = e3)
% 255.73/50.39 | | |
% 255.73/50.39 | | | REDUCE: (363), (13631) imply:
% 255.73/50.39 | | | (13635) ~ (all_52_6 = e3)
% 255.73/50.39 | | |
% 255.73/50.39 | | | REDUCE: (365), (13631) imply:
% 255.73/50.39 | | | (13636) ~ (all_52_8 = e3)
% 255.73/50.39 | | |
% 255.73/50.39 | | | REDUCE: (366), (13631) imply:
% 255.73/50.39 | | | (13637) ~ (all_52_9 = e3)
% 255.73/50.39 | | |
% 255.73/50.39 | | | REDUCE: (368), (13631) imply:
% 255.73/50.39 | | | (13638) ~ (all_52_11 = e3)
% 255.73/50.39 | | |
% 255.73/50.39 | | | REDUCE: (370), (13631) imply:
% 255.73/50.39 | | | (13639) ~ (all_52_14 = e3)
% 255.73/50.39 | | |
% 255.73/50.39 | | | BETA: splitting (220) gives:
% 255.73/50.39 | | |
% 255.73/50.39 | | | Case 1:
% 255.73/50.39 | | | |
% 255.73/50.39 | | | | (13640) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2,
% 255.73/50.39 | | | | e1) = e3)
% 255.73/50.39 | | | |
% 255.73/50.39 | | | | REF_CLOSE: (165), (169), (13636), (13637), (13640), (function-axioms)
% 255.73/50.39 | | | | are inconsistent by sub-proof #709.
% 255.73/50.39 | | | |
% 255.73/50.39 | | | Case 2:
% 255.73/50.39 | | | |
% 255.73/50.39 | | | | (13641) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0,
% 255.73/50.39 | | | | e1) = e3)
% 255.73/50.39 | | | |
% 255.73/50.39 | | | | BETA: splitting (13641) gives:
% 255.73/50.39 | | | |
% 255.73/50.39 | | | | Case 1:
% 255.73/50.39 | | | | |
% 255.73/50.39 | | | | | (13642) all_56_8 = e3 & op(e1, e1) = e3
% 255.73/50.39 | | | | |
% 255.73/50.39 | | | | | ALPHA: (13642) implies:
% 255.73/50.39 | | | | | (13643) all_56_8 = e3
% 255.73/50.39 | | | | | (13644) op(e1, e1) = e3
% 255.73/50.39 | | | | |
% 255.73/50.39 | | | | | BETA: splitting (43) gives:
% 255.73/50.39 | | | | |
% 255.73/50.39 | | | | | Case 1:
% 255.73/50.39 | | | | | |
% 255.73/50.39 | | | | | | (13645) ~ (all_8_2 = e3)
% 255.73/50.39 | | | | | |
% 255.73/50.39 | | | | | | BETA: splitting (46) gives:
% 255.73/50.39 | | | | | |
% 255.73/50.39 | | | | | | Case 1:
% 255.73/50.39 | | | | | | |
% 255.73/50.39 | | | | | | | (13646) ~ (all_10_2 = e1)
% 255.73/50.39 | | | | | | |
% 255.73/50.39 | | | | | | | BETA: splitting (49) gives:
% 255.73/50.39 | | | | | | |
% 255.73/50.39 | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | |
% 255.73/50.39 | | | | | | | | (13647) ~ (all_12_2 = e3)
% 255.73/50.39 | | | | | | | |
% 255.73/50.39 | | | | | | | | REDUCE: (334), (13647) imply:
% 255.73/50.39 | | | | | | | | (13648) ~ (all_4_2 = e3)
% 255.73/50.39 | | | | | | | |
% 255.73/50.39 | | | | | | | | BETA: splitting (52) gives:
% 255.73/50.39 | | | | | | | |
% 255.73/50.39 | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | |
% 255.73/50.39 | | | | | | | | | (13649) ~ (all_14_2 = e0)
% 255.73/50.39 | | | | | | | | |
% 255.73/50.39 | | | | | | | | | REDUCE: (333), (13649) imply:
% 255.73/50.39 | | | | | | | | | (13650) ~ (all_8_2 = e0)
% 255.73/50.39 | | | | | | | | |
% 255.73/50.39 | | | | | | | | | BETA: splitting (55) gives:
% 255.73/50.39 | | | | | | | | |
% 255.73/50.39 | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | (13651) ~ (all_16_2 = e0)
% 255.73/50.39 | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | REDUCE: (331), (13651) imply:
% 255.73/50.39 | | | | | | | | | | (13652) ~ (all_10_2 = e0)
% 255.73/50.39 | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | BETA: splitting (61) gives:
% 255.73/50.39 | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | (13653) ~ (all_20_2 = e1)
% 255.73/50.39 | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | REDUCE: (322), (13653) imply:
% 255.73/50.39 | | | | | | | | | | | (13654) ~ (all_4_2 = e1)
% 255.73/50.39 | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | BETA: splitting (189) gives:
% 255.73/50.39 | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | (13655) all_54_15 = e3
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | REF_CLOSE: (249), (13648), (13655) are inconsistent by
% 255.73/50.39 | | | | | | | | | | | | sub-proof #3475.
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | (13656) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | BETA: splitting (13656) gives:
% 255.73/50.39 | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | (13657) all_54_15 = e2
% 255.73/50.39 | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | REF_CLOSE: (249), (375), (13657) are inconsistent by
% 255.73/50.39 | | | | | | | | | | | | | sub-proof #3474.
% 255.73/50.39 | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | (13658) all_54_15 = e1 | all_54_15 = e0
% 255.73/50.39 | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | BETA: splitting (13658) gives:
% 255.73/50.39 | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | (13659) all_54_15 = e1
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | REF_CLOSE: (249), (13654), (13659) are inconsistent by
% 255.73/50.39 | | | | | | | | | | | | | | sub-proof #3473.
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | (13660) all_54_15 = e0
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | COMBINE_EQS: (249), (13660) imply:
% 255.73/50.39 | | | | | | | | | | | | | | (13661) all_4_2 = e0
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | SIMP: (13661) implies:
% 255.73/50.39 | | | | | | | | | | | | | | (13662) all_4_2 = e0
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | REDUCE: (353), (13662) imply:
% 255.73/50.39 | | | | | | | | | | | | | | (13663) ~ (all_52_3 = e0)
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | REDUCE: (364), (13662) imply:
% 255.73/50.39 | | | | | | | | | | | | | | (13664) ~ (all_52_7 = e0)
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | REDUCE: (371), (13662) imply:
% 255.73/50.39 | | | | | | | | | | | | | | (13665) ~ (all_52_11 = e0)
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | REDUCE: (36), (13662) imply:
% 255.73/50.39 | | | | | | | | | | | | | | (13666) op(e0, e0) = e0
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 255.73/50.39 | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | (13667) ~ (all_22_2 = e1)
% 255.73/50.39 | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | REDUCE: (326), (13667) imply:
% 255.73/50.39 | | | | | | | | | | | | | | | (13668) ~ (all_8_2 = e1)
% 255.73/50.39 | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 255.73/50.39 | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | (13669) all_54_5 = e3
% 255.73/50.39 | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (13669) imply:
% 255.73/50.39 | | | | | | | | | | | | | | | | (13670) all_8_2 = e3
% 255.73/50.39 | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | REDUCE: (13645), (13670) imply:
% 255.73/50.39 | | | | | | | | | | | | | | | | (13671) $false
% 255.73/50.39 | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | CLOSE: (13671) is inconsistent.
% 255.73/50.39 | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | (13672) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 255.73/50.39 | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | BETA: splitting (13672) gives:
% 255.73/50.39 | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | (13673) all_54_5 = e2
% 255.73/50.39 | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (13673) imply:
% 255.73/50.39 | | | | | | | | | | | | | | | | | (13674) all_8_2 = e2
% 255.73/50.39 | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | REDUCE: (351), (13674) imply:
% 255.73/50.39 | | | | | | | | | | | | | | | | | (13675) ~ (all_52_1 = e2)
% 255.73/50.39 | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | REDUCE: (360), (13674) imply:
% 255.73/50.39 | | | | | | | | | | | | | | | | | (13676) ~ (all_52_9 = e2)
% 255.73/50.39 | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | REDUCE: (362), (13674) imply:
% 255.73/50.39 | | | | | | | | | | | | | | | | | (13677) ~ (all_52_13 = e2)
% 255.73/50.39 | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | REDUCE: (42), (13674) imply:
% 255.73/50.39 | | | | | | | | | | | | | | | | | (13678) op(e2, e2) = e2
% 255.73/50.39 | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.73/50.39 | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | (13679) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.73/50.39 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.73/50.39 | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.73/50.39 | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.73/50.39 | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.73/50.39 | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.73/50.39 | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.73/50.39 | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.73/50.39 | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.73/50.39 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.73/50.39 | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | BETA: splitting (13679) gives:
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | (13680) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13644), (13675), (13680),
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | #489.
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | (13681) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13678), (13681), (function-axioms) are
% 255.73/50.39 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3445.
% 255.73/50.39 | | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.39 | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.39 | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (13682) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.73/50.40 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.73/50.40 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.73/50.40 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.73/50.40 | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | BETA: splitting (13682) gives:
% 255.73/50.40 | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.40 | | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (13683) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.73/50.40 | | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (13636), (13676), (13683),
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | #3464.
% 255.73/50.40 | | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.40 | | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (13684) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.73/50.40 | | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (164), (13663), (13664),
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (13665), (13666), (13677), (13684),
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.40 | | | | | | | | | | | | | | | | | | | #3456.
% 255.73/50.40 | | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.40 | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | End of split
% 255.73/50.40 | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.40 | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | (13685) all_54_5 = e1 | all_54_5 = e0
% 255.73/50.40 | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (13650), (13668), (13685) are inconsistent
% 255.73/50.40 | | | | | | | | | | | | | | | | | by sub-proof #3433.
% 255.73/50.40 | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | End of split
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | End of split
% 255.73/50.40 | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | Case 2:
% 255.73/50.40 | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | (13686) all_22_2 = e1
% 255.73/50.40 | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | COMBINE_EQS: (326), (13686) imply:
% 255.73/50.40 | | | | | | | | | | | | | | | (13687) all_8_2 = e1
% 255.73/50.40 | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | SIMP: (13687) implies:
% 255.73/50.40 | | | | | | | | | | | | | | | (13688) all_8_2 = e1
% 255.73/50.40 | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | REDUCE: (356), (13688) imply:
% 255.73/50.40 | | | | | | | | | | | | | | | (13689) ~ (all_52_6 = e1)
% 255.73/50.40 | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | REDUCE: (42), (13688) imply:
% 255.73/50.40 | | | | | | | | | | | | | | | (13690) op(e2, e2) = e1
% 255.73/50.40 | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 255.73/50.40 | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | Case 1:
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | (13691) ~ (all_24_2 = e2)
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | REDUCE: (323), (13691) imply:
% 255.73/50.40 | | | | | | | | | | | | | | | | (13692) ~ (all_10_2 = e2)
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (158), (159), (162), (169), (170),
% 255.73/50.40 | | | | | | | | | | | | | | | | (204), (241), (282), (346), (348), (13646),
% 255.73/50.40 | | | | | | | | | | | | | | | | (13652), (13663), (13664), (13665), (13666),
% 255.73/50.40 | | | | | | | | | | | | | | | | (13689), (13690), (13692), (function-axioms) are
% 255.73/50.40 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3406.
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | Case 2:
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | (13693) all_24_2 = e2
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (13693) imply:
% 255.73/50.40 | | | | | | | | | | | | | | | | (13694) all_10_2 = e2
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | SIMP: (13694) implies:
% 255.73/50.40 | | | | | | | | | | | | | | | | (13695) all_10_2 = e2
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | REDUCE: (340), (13695) imply:
% 255.73/50.40 | | | | | | | | | | | | | | | | (13696) ~ (all_52_1 = e2)
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | REDUCE: (45), (13695) imply:
% 255.73/50.40 | | | | | | | | | | | | | | | | (13697) op(e3, e3) = e2
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.73/50.40 | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.40 | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | (13698) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.73/50.40 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.73/50.40 | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.73/50.40 | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.73/50.40 | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.73/50.40 | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.73/50.40 | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.73/50.40 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.73/50.40 | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.73/50.40 | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | BETA: splitting (13698) gives:
% 255.73/50.40 | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.40 | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (13699) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.73/50.40 | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.73/50.40 | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.73/50.40 | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13644), (13696), (13699),
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.40 | | | | | | | | | | | | | | | | | | #489.
% 255.73/50.40 | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.40 | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (13700) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 255.73/50.40 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.73/50.40 | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 255.73/50.40 | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 255.73/50.40 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 255.73/50.40 | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 255.73/50.40 | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13689), (13697), (13700),
% 255.73/50.40 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.40 | | | | | | | | | | | | | | | | | | #3404.
% 255.73/50.40 | | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | End of split
% 255.73/50.40 | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.40 | | | | | | | | | | | | | | | | |
% 255.73/50.40 | | | | | | | | | | | | | | | | | (13701) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.73/50.40 | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.73/50.40 | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.73/50.40 | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.73/50.40 | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.73/50.41 | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 255.73/50.41 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.73/50.41 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 255.73/50.41 | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 255.73/50.41 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 255.73/50.41 | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 255.73/50.41 | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 255.73/50.41 | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 255.73/50.41 | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.73/50.41 | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 255.73/50.41 | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.73/50.41 | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 255.73/50.41 | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 255.73/50.41 | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 255.73/50.41 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 255.73/50.41 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 255.73/50.41 | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 255.73/50.41 | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 255.73/50.41 | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 255.73/50.41 | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 255.73/50.41 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 255.73/50.41 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 255.73/50.41 | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 255.73/50.41 | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 255.73/50.41 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 255.73/50.41 | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 255.73/50.41 | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | BETA: splitting (13701) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (13702) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13636), (13690), (13702),
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.41 | | | | | | | | | | | | | | | | | | #3408.
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (13703) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 255.73/50.41 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 255.73/50.41 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 255.73/50.41 | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 255.73/50.41 | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 255.73/50.41 | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 255.73/50.41 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 255.73/50.41 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 255.73/50.41 | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 255.73/50.41 | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (13663), (13664), (13665),
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (13666), (13703), (function-axioms) are
% 255.73/50.41 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3407.
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | End of split
% 255.73/50.41 | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | End of split
% 255.73/50.41 | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | End of split
% 255.73/50.41 | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | End of split
% 255.73/50.41 | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | End of split
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | End of split
% 255.73/50.41 | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | End of split
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | (13704) all_20_2 = e1
% 255.73/50.41 | | | | | | | | | | | (13705) ( ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0
% 255.73/50.41 | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 255.73/50.41 | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 255.73/50.41 | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | COMBINE_EQS: (322), (13704) imply:
% 255.73/50.41 | | | | | | | | | | | (13706) all_4_2 = e1
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | COMBINE_EQS: (311), (13706) imply:
% 255.73/50.41 | | | | | | | | | | | (13707) all_34_2 = e1
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | REDUCE: (353), (13706) imply:
% 255.73/50.41 | | | | | | | | | | | (13708) ~ (all_52_3 = e1)
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | REDUCE: (364), (13706) imply:
% 255.73/50.41 | | | | | | | | | | | (13709) ~ (all_52_7 = e1)
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | REDUCE: (372), (13706) imply:
% 255.73/50.41 | | | | | | | | | | | (13710) ~ (all_52_12 = e1)
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | REDUCE: (373), (13706) imply:
% 255.73/50.41 | | | | | | | | | | | (13711) ~ (all_52_13 = e1)
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | REDUCE: (374), (13706) imply:
% 255.73/50.41 | | | | | | | | | | | (13712) ~ (all_52_14 = e1)
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | REDUCE: (13648), (13706) imply:
% 255.73/50.41 | | | | | | | | | | | (13713) ~ (e3 = e1)
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | REDUCE: (375), (13706) imply:
% 255.73/50.41 | | | | | | | | | | | (13714) ~ (e2 = e1)
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | BETA: splitting (210) gives:
% 255.73/50.41 | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | (13715) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 255.73/50.41 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 255.73/50.41 | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | BETA: splitting (13715) gives:
% 255.73/50.41 | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | (13716) all_56_9 = e1 & op(e3, e0) = e1
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | REF_CLOSE: (168), (13710), (13716), (function-axioms) are
% 255.73/50.41 | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | (13717) all_56_10 = e1 & op(e2, e0) = e1
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | REF_CLOSE: (164), (13711), (13717), (function-axioms) are
% 255.73/50.41 | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | End of split
% 255.73/50.41 | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | (13718) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 255.73/50.41 | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 255.73/50.41 | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | BETA: splitting (13718) gives:
% 255.73/50.41 | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | (13719) all_56_11 = e1 & op(e1, e0) = e1
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | ALPHA: (13719) implies:
% 255.73/50.41 | | | | | | | | | | | | | (13720) op(e1, e0) = e1
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | REF_CLOSE: (160), (13712), (13720), (function-axioms) are
% 255.73/50.41 | | | | | | | | | | | | | inconsistent by sub-proof #3441.
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | (13721) all_56_15 = e1 & op(e0, e0) = e1
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | ALPHA: (13721) implies:
% 255.73/50.41 | | | | | | | | | | | | | (13722) all_56_15 = e1
% 255.73/50.41 | | | | | | | | | | | | | (13723) op(e0, e0) = e1
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | BETA: splitting (64) gives:
% 255.73/50.41 | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | (13724) ~ (all_22_2 = e1)
% 255.73/50.41 | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | REDUCE: (326), (13724) imply:
% 255.73/50.41 | | | | | | | | | | | | | | (13725) ~ (all_8_2 = e1)
% 255.73/50.41 | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 255.73/50.41 | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | (13726) all_54_5 = e3
% 255.73/50.41 | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | COMBINE_EQS: (271), (13726) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | (13727) all_8_2 = e3
% 255.73/50.41 | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | REDUCE: (13645), (13727) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | (13728) $false
% 255.73/50.41 | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | CLOSE: (13728) is inconsistent.
% 255.73/50.41 | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | (13729) ~ (all_54_5 = e3)
% 255.73/50.41 | | | | | | | | | | | | | | | (13730) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 255.73/50.41 | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | BETA: splitting (13730) gives:
% 255.73/50.41 | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | (13731) all_54_5 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (13731) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | (13732) all_8_2 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | REDUCE: (351), (13732) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | (13733) ~ (all_52_1 = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | REDUCE: (360), (13732) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | (13734) ~ (all_52_9 = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | REDUCE: (362), (13732) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | (13735) ~ (all_52_13 = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | REDUCE: (13645), (13732) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | (13736) ~ (e3 = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | (13737) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | BETA: splitting (13737) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (13738) all_56_2 = e2 & op(e2, e3) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | ALPHA: (13738) implies:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (13739) op(e2, e3) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13733), (13739), (function-axioms) are
% 255.73/50.41 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3448.
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (13740) all_56_3 = e2 & op(e2, e2) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | ALPHA: (13740) implies:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (13741) all_56_3 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | (13742) op(e2, e2) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | (13743) ~ (all_24_2 = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | REDUCE: (323), (13743) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | (13744) ~ (all_10_2 = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (164), (165), (168), (169), (170),
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | (204), (241), (282), (346), (348), (350), (13646),
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | (13652), (13712), (13723), (13734), (13735),
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | (13742), (13744), (function-axioms) are
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3071.
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | (13745) all_24_2 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (13745) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | (13746) all_10_2 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | SIMP: (13746) implies:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | (13747) all_10_2 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | REDUCE: (350), (13747) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | (13748) ~ (all_52_12 = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (13747) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | (13749) op(e3, e3) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | (13750) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13750) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | (13751) all_56_4 = e2 & op(e3, e1) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13751) implies:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | (13752) all_56_4 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | (236), (13710), (13749), (13752),
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | #2273.
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | (13753) all_56_5 = e2 & op(e2, e1) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13753) implies:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | (13754) op(e2, e1) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13734), (13754), (function-axioms) are
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3465.
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | (13755) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13755) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | (13756) all_56_8 = e2 & op(e1, e1) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13643), (13756) are inconsistent by
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | sub-proof #488.
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | (13757) all_56_14 = e2 & op(e0, e1) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13757) implies:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | (13758) op(e0, e1) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | (13759) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (13735), (13748), (13759),
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | #3451.
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | (13760) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13760) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | (13761) all_56_11 = e2 & op(e1, e0) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13761) implies:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | (13762) all_56_11 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | (13763) op(e1, e0) = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (13758) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | (13764) all_52_11 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (13763) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | (13765) all_52_14 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (13764) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | (13766) ~ (all_52_7 = e2)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | (13767) ~ (all_34_2 = e1)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13707), (13767) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | (13768) $false
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13768) is inconsistent.
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | (13769) ( ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13705) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13770) ~ (all_20_0 = e2) & op(e0, all_20_1) = all_20_0 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13770) implies:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13771) op(e0, e1) = all_20_1
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13772) op(e0, all_20_1) = all_20_0
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_20_1,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (13758), (13771) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13773) all_20_1 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13772), (13773) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13774) op(e0, e2) = all_20_0
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13769) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (13775) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13775) implies:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (13776) ~ (all_34_0 = e3)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (13777) op(e0, e1) = all_34_1
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (13778) op(e0, all_34_1) = all_34_0
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (13758), (13777) gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (13779) all_34_1 = e2
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e2, e0, simplifying with (158), (13774)
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (13780) all_52_7 = all_20_0
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (13780) imply:
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (13781) all_54_13 = all_20_0
% 255.73/50.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (13780) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13782) ~ (all_52_3 = all_20_0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (13780) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13783) ~ (all_52_4 = all_20_0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (13780) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13784) ~ (all_52_6 = all_20_0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13766), (13780) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13785) ~ (all_20_0 = e2)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13709), (13780) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13786) ~ (all_20_0 = e1)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13778), (13779) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13787) op(e0, e2) = all_34_0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_0,
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e2, e0, simplifying with (13774),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13787) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13788) all_34_0 = all_20_0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13776), (13788) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13789) ~ (all_20_0 = e3)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13790) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13790) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13791) all_56_12 = e3 & op(e0, e3) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13791) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792) all_56_12 = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13793) op(e0, e3) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13794) all_54_13 = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13781), (13789), (13794) are inconsistent by
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3068.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13795) ~ (all_54_13 = e3)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13796) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13797) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13797) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13798) all_56_1 = e3 & op(e3, e2) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13798) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13799) op(e3, e2) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13796) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13800) all_54_13 = e2
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13781), (13785), (13800) are inconsistent by
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3067.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13801) ~ (all_54_13 = e2)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13802) all_54_13 = e1 | all_54_13 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13803) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13749), (13799), (13803),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #487.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13804) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13804) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13805) all_56_4 = e1 & op(e3, e1) = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13805) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13806) all_56_4 = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13807) op(e3, e1) = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13802) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13808) all_54_13 = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13781), (13786), (13808) are inconsistent by
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3066.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13809) all_54_13 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13781), (13809) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13810) all_20_0 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13810) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13811) all_20_0 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13782), (13811) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13812) ~ (all_52_3 = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13783), (13811) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13813) ~ (all_52_4 = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13784), (13811) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13814) ~ (all_52_6 = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13789), (13811) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13815) ~ (e3 = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13785), (13811) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13816) ~ (e2 = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13786), (13811) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13817) ~ (e1 = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13818) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13818) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13819) all_56_4 = e0 & op(e3, e1) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13806), (13819) are inconsistent by
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2981.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13820) all_56_5 = e0 & op(e2, e1) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13820) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13821) all_56_5 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13822) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13822) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13823) all_56_2 = e1 & op(e2, e3) = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13823) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13824) all_56_2 = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13825) op(e2, e3) = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13826) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13826) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13827) all_56_6 = e0 & op(e1, e3) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13827) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13828) all_56_6 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13829) op(e1, e3) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13830) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (231), (13742), (13749),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792), (13828), (13830), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #486.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13831) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13831) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13832) all_56_5 = e3 & op(e2, e1) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13637), (13832), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #710.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13833) all_56_10 = e3 & op(e2, e0) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13833) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13834) all_56_10 = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13835) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13835) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13836) all_56_0 = e0 & op(e3, e3) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13836) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13837) all_56_0 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13838) op(e3, e3) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (231), (233),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (13733), (13825), (13828), (13837),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13838), (function-axioms) are inconsistent by
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2383.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13839) all_56_1 = e0 & op(e3, e2) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (13813), (13839), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13840) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13840) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13841) all_56_4 = e0 & op(e3, e1) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (13749), (13792), (13806),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13824), (13828), (13841), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13842) all_56_9 = e0 & op(e3, e0) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13842) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13843) op(e3, e0) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (42), (159), (160),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (221), (231), (241), (13650), (13712),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13723), (13735), (13742), (13749), (13792),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13793), (13807), (13812), (13828), (13829),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13834), (13843), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #482.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13844) all_56_7 = e0 & op(e1, e2) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13814), (13844), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2865.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13845) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13845) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13846) all_56_8 = e0 & op(e1, e1) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13846) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13847) all_56_8 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13643), (13847) are inconsistent by
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2740.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13848) all_56_11 = e0 & op(e1, e0) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13848) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13849) all_56_11 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13762), (13849) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13850) e2 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13741), (13850) imply:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13851) all_56_3 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (13733), (13821), (13851),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3299.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13852) all_56_3 = e1 & op(e2, e2) = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13852) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13853) op(e2, e2) = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13742), (13853), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3425.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13854) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13854) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13855) all_56_5 = e1 & op(e2, e1) = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13821), (13855) are inconsistent by
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13856) all_56_10 = e1 & op(e2, e0) = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13711), (13856), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13857) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13857) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13858) all_56_8 = e0 & op(e1, e1) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13858) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13859) all_56_8 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13643), (13859) are inconsistent by
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2740.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13860) all_56_14 = e0 & op(e0, e1) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13860) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13861) op(e0, e1) = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (13758), (13861), (function-axioms)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #480.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13862) all_56_9 = e1 & op(e3, e0) = e1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13710), (13862), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13863) all_56_3 = e3 & op(e2, e2) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13863) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13864) op(e2, e2) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13742), (13864), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13865) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13865) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13866) all_56_7 = e3 & op(e1, e2) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13635), (13866), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13867) all_56_13 = e3 & op(e0, e2) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13867) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13868) op(e0, e2) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13774), (13781), (13785), (13786), (13789),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13796), (13868), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #479.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13869) all_56_13 = e3 & op(e0, e2) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13869) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13870) op(e0, e2) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13871) all_54_13 = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13781), (13789), (13871) are inconsistent by
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3068.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13872) ~ (all_54_13 = e3)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13873) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13774), (13781), (13785), (13786), (13789),
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13870), (13873), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #479.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13874) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13874) gives:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13875) all_56_14 = e3 & op(e0, e1) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (13638), (13875), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #478.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13876) all_56_15 = e3 & op(e0, e0) = e3
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (13648), (13876), (function-axioms) are
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #477.
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13877) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13877) implies:
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13878) ~ (all_34_1 = e2)
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13879) op(e0, e1) = all_34_1
% 255.73/50.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13758), (13878), (13879), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3061.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | (13880) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13880) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | (13881) ~ (all_20_1 = e3)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | (13882) op(e0, e1) = all_20_1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_20_1,
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (13758), (13882) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | (13883) all_20_1 = e2
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13769) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13884) ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0 &
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13884) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13885) ~ (all_34_0 = e3)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13886) op(e0, e1) = all_34_1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13887) op(e0, all_34_1) = all_34_0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (13758), (13886) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13888) all_34_1 = e2
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13887), (13888) imply:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13889) op(e0, e2) = all_34_0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e2, e0, simplifying with (158), (13889)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13890) all_52_7 = all_34_0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (13890) imply:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13891) all_54_13 = all_34_0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (13890) imply:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13892) ~ (all_52_3 = all_34_0)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13766), (13890) imply:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13893) ~ (all_34_0 = e2)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13709), (13890) imply:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (13894) ~ (all_34_0 = e1)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13895) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13895) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13896) all_56_12 = e3 & op(e0, e3) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13896) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13897) all_56_12 = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13898) op(e0, e3) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13899) all_54_13 = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13885), (13891), (13899) are inconsistent by
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3020.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13900) ~ (all_54_13 = e3)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13901) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13901) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13902) all_54_13 = e2
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13891), (13893), (13902) are inconsistent by
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3019.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13903) ~ (all_54_13 = e2)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13904) all_54_13 = e1 | all_54_13 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13905) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13905) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13906) all_56_1 = e3 & op(e3, e2) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13906) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13907) op(e3, e2) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13908) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13742), (13907), (13908),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #476.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13909) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13909) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13910) all_56_7 = e1 & op(e1, e2) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13910) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13911) op(e1, e2) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13912) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13912) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13913) all_56_6 = e0 & op(e1, e3) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13913) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13914) all_56_6 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13915) op(e1, e3) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13916) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13916) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13917) all_56_0 = e1 & op(e3, e3) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13917) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13918) op(e3, e3) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13749), (13918), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3400.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13919) all_56_2 = e1 & op(e2, e3) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13919) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13920) all_56_2 = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13921) op(e2, e3) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13922) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (231), (13742), (13749),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13897), (13914), (13922), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #486.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13923) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13923) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13924) all_56_5 = e3 & op(e2, e1) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13637), (13924), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #710.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13925) all_56_10 = e3 & op(e2, e0) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13925) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13926) all_56_10 = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13927) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13749), (13907), (13927),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #487.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13928) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13928) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13929) all_56_4 = e1 & op(e3, e1) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13929) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13930) all_56_4 = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13931) op(e3, e1) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13932) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13932) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13933) all_56_0 = e0 & op(e3, e3) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13933) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13934) all_56_0 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13935) op(e3, e3) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (231), (233),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (13733), (13914), (13921), (13934),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13935), (function-axioms) are inconsistent by
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2383.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13936) all_56_1 = e0 & op(e3, e2) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13936) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13937) op(e3, e2) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13907), (13937), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13938) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13938) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13939) all_56_4 = e0 & op(e3, e1) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (13749), (13897), (13914),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13920), (13930), (13939), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13940) all_56_9 = e0 & op(e3, e0) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13940) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13941) op(e3, e0) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13904) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13942) all_54_13 = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13891), (13894), (13942) are inconsistent by
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3016.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13943) all_54_13 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13891), (13943) imply:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13944) all_34_0 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13944) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13945) all_34_0 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13892), (13945) imply:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13946) ~ (all_52_3 = e0)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13885), (13945) imply:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13947) ~ (e3 = e0)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13893), (13945) imply:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13948) ~ (e2 = e0)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13894), (13945) imply:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13949) ~ (e1 = e0)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (42), (159), (160),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (221), (231), (241), (13650), (13712),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13723), (13735), (13742), (13749), (13897),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13898), (13914), (13915), (13926), (13931),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13941), (13946), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #482.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13950) all_56_9 = e1 & op(e3, e0) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13710), (13950), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13951) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13951) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13952) all_56_6 = e1 & op(e1, e3) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13952) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13953) op(e1, e3) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13915), (13953), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13954) all_56_12 = e1 & op(e0, e3) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13708), (13954), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3077.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13955) all_56_7 = e0 & op(e1, e2) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13955) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13956) op(e1, e2) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13911), (13956), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #475.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13957) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (13643), (13762), (13957) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #474.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13958) all_56_13 = e1 & op(e0, e2) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13958) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13959) op(e0, e2) = e1
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (13709), (13959), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3152.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13960) all_56_3 = e3 & op(e2, e2) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13960) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13961) op(e2, e2) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13742), (13961), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3346.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13962) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13962) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13963) all_56_7 = e3 & op(e1, e2) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13635), (13963), (function-axioms) are
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13964) all_56_13 = e3 & op(e0, e2) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13964) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13965) all_56_13 = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13966) op(e0, e2) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (157), (206), (208),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13722), (13897), (13898), (13965), (13966),
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #471.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13967) all_56_13 = e3 & op(e0, e2) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13967) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13968) op(e0, e2) = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13969) all_54_13 = e3
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13885), (13891), (13969) are inconsistent by
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3020.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13970) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13971) all_56_15 = e0 & op(e0, e0) = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13971) implies:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13972) all_56_15 = e0
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13722), (13972) are inconsistent by
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2474.
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13973) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 255.73/50.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13973) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13974) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13974) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13975) all_56_12 = e0 & op(e0, e3) = e0
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13975) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13976) op(e0, e3) = e0
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13891), (13892), (13893), (13894),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13970), (13976), (function-axioms) are
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2653.
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13977) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (157), (13758), (13968), (13977),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #473.
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13978) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13978) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13979) all_56_14 = e3 & op(e0, e1) = e3
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13979) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13980) op(e0, e1) = e3
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13881), (13882), (13886), (13980),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2651.
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13981) all_56_15 = e3 & op(e0, e0) = e3
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (13648), (13981), (function-axioms) are
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #477.
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (13982) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13982) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (13983) ~ (all_34_1 = e2)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (13984) op(e0, e1) = all_34_1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13758), (13983), (13984), (function-axioms) are
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3061.
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | (13985) all_56_15 = e2 & op(e0, e0) = e2
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13985) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | (13986) all_56_15 = e2
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13722), (13986) are inconsistent by
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3014.
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | (13987) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 255.73/50.44 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 255.73/50.44 | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (13734), (13735), (13987),
% 255.73/50.44 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.44 | | | | | | | | | | | | | | | | | #3013.
% 255.73/50.44 | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | (13988) all_54_5 = e1 | all_54_5 = e0
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | REF_CLOSE: (271), (13650), (13725), (13988) are inconsistent
% 255.73/50.44 | | | | | | | | | | | | | | | | by sub-proof #3433.
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | (13989) all_22_2 = e1
% 255.73/50.44 | | | | | | | | | | | | | | (13990) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 255.73/50.44 | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 255.73/50.44 | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 255.73/50.44 | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 255.73/50.44 | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | COMBINE_EQS: (326), (13989) imply:
% 255.73/50.44 | | | | | | | | | | | | | | (13991) all_8_2 = e1
% 255.73/50.44 | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | SIMP: (13991) implies:
% 255.73/50.44 | | | | | | | | | | | | | | (13992) all_8_2 = e1
% 255.73/50.44 | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | COMBINE_EQS: (313), (13992) imply:
% 255.73/50.44 | | | | | | | | | | | | | | (13993) all_30_2 = e1
% 255.73/50.44 | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | REDUCE: (42), (13992) imply:
% 255.73/50.44 | | | | | | | | | | | | | | (13994) op(e2, e2) = e1
% 255.73/50.44 | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 255.73/50.44 | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | (13995) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 255.73/50.44 | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | BETA: splitting (13995) gives:
% 255.73/50.44 | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | (13996) all_56_0 = e1 & op(e3, e3) = e1
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (13646), (13996), (function-axioms) are
% 255.73/50.44 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3012.
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | (13997) all_56_2 = e1 & op(e2, e3) = e1
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (221), (223),
% 255.73/50.44 | | | | | | | | | | | | | | | | (224), (13650), (13994), (13997),
% 255.73/50.44 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.44 | | | | | | | | | | | | | | | | #3009.
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | (13998) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 255.73/50.44 | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 255.73/50.44 | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | BETA: splitting (13998) gives:
% 255.73/50.44 | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | (13999) all_56_6 = e1 & op(e1, e3) = e1
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | ALPHA: (13999) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | (14000) all_56_6 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | (14001) op(e1, e3) = e1
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | (14002) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (45), (225),
% 255.73/50.44 | | | | | | | | | | | | | | | | | (227), (228), (13646), (13650), (13994), (14002),
% 255.73/50.44 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.44 | | | | | | | | | | | | | | | | | #2477.
% 255.73/50.44 | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | (14003) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | BETA: splitting (14003) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14004) all_56_4 = e1 & op(e3, e1) = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | ALPHA: (14004) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14005) all_56_4 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14006) op(e3, e1) = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 255.73/50.44 | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (14001) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14007) all_52_2 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 255.73/50.44 | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (14006) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14008) all_52_8 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | REDUCE: (144), (14007) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14009) ~ (all_52_3 = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | REDUCE: (143), (14007) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14010) ~ (all_52_6 = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | SIMP: (14010) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14011) ~ (all_52_6 = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | REDUCE: (141), (14007) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14012) ~ (all_52_14 = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | REDUCE: (134), (14008) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14013) ~ (all_52_4 = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | REDUCE: (123), (14008) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14014) ~ (all_52_9 = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | SIMP: (14014) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14015) ~ (all_52_9 = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | REDUCE: (120), (14008) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14016) ~ (all_52_12 = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | REDUCE: (348), (14008) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | (14017) ~ (all_10_2 = e1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | (14018) ~ (all_46_2 = e3)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | REDUCE: (13633), (14018) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | (14019) $false
% 255.73/50.44 | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | CLOSE: (14019) is inconsistent.
% 255.73/50.44 | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | (14020) ( ~ (all_46_0 = e0) & op(e1, all_46_1) = all_46_0
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 255.73/50.44 | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (14020) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | (14021) ~ (all_46_0 = e0) & op(e1, all_46_1) = all_46_0 &
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_46_1 & $i(all_46_0) &
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | ALPHA: (14021) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | (14022) ~ (all_46_0 = e0)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | (14023) op(e1, e3) = all_46_1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | (14024) op(e1, all_46_1) = all_46_0
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13632) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14025) ~ (all_6_0 = e2) & op(e1, all_6_1) = all_6_0 &
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14025) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14026) ~ (all_6_0 = e2)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14027) op(e1, e3) = all_6_1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14028) op(e1, all_6_1) = all_6_0
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (14001), (14023) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14029) all_46_1 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | all_46_1, e3, e1, simplifying with (14023),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14027) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14030) all_46_1 = all_6_1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14029), (14030) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14031) all_6_1 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | SIMP: (14031) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14032) all_6_1 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14024), (14029) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14033) op(e1, e1) = all_46_0
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14028), (14032) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14034) op(e1, e1) = all_6_0
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_46_0,
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13644), (14033) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14035) all_46_0 = e3
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_0,
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | all_46_0, e1, e1, simplifying with (14033),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14034) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14036) all_46_0 = all_6_0
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14035), (14036) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14037) all_6_0 = e3
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | SIMP: (14037) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14038) all_6_0 = e3
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (42), (45), (67), (76), (79),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (82), (110), (112), (113), (117), (118), (126),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (140), (145), (157),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (168), (170), (191), (192), (193), (195), (197),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (198), (201), (203), (204), (206), (208), (209),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (215), (221), (222), (223),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (231), (232), (235), (236), (238), (241), (251),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (252), (253), (261), (263), (264), (273), (275),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (282), (316), (323), (340), (344), (346), (350),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (13632), (13635), (13637), (13638), (13639),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (13643), (13646), (13648), (13650), (13652),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (13707), (13708), (13709), (13710), (13711),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (13712), (13722), (13723), (13990), (13993),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (13994), (14000), (14001), (14005), (14006),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14011), (14013), (14015), (14020), (14026),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14038), (function-axioms) are inconsistent by
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | sub-proof #444.
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14039) ~ (all_6_1 = e0) & op(e1, e3) = all_6_1 &
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | $i(all_6_1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14039) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14040) ~ (all_6_1 = e0)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14041) op(e1, e3) = all_6_1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (14001), (14023) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14042) all_46_1 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | all_46_1, e3, e1, simplifying with (14023),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14041) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14043) all_46_1 = all_6_1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14042), (14043) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14044) all_6_1 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | SIMP: (14044) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14045) all_6_1 = e1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14024), (14042) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14046) op(e1, e1) = all_46_0
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_46_0,
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13644), (14046) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14047) all_46_0 = e3
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (14048) ~ (all_24_2 = e2)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (14048) imply:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (14049) ~ (all_10_2 = e2)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (113), (135), (158), (160), (162), (164),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (170), (204), (224), (228),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (241), (282), (340), (346), (13635), (13637),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (13646), (13652), (13711), (13712), (13723),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (13994), (14006), (14011), (14049),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | #469.
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (14050) all_24_2 = e2
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (14051) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (42), (45), (76), (79),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (82), (110), (112), (113), (117), (118), (126),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (140), (145), (157),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (168), (170), (191), (192), (193), (195), (197),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (198), (201), (203), (206), (208), (209), (211),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (212), (213), (215), (221), (222), (223), (224),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (232), (235), (236), (238), (241), (251), (252),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (253), (261), (263), (264), (273), (275), (316),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (323), (344), (346), (350), (13632), (13635),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (13637), (13638), (13639), (13643), (13646),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (13648), (13650), (13652), (13707), (13708),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (13709), (13710), (13711), (13712), (13722),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (13723), (13990), (13993), (13994), (14000),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (14001), (14005), (14006), (14011), (14013),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (14015), (14020), (14040), (14041), (14050),
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | (14051), (function-axioms) are inconsistent by
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | | sub-proof #443.
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | (14052) ~ (all_46_1 = e2) & op(e1, e3) = all_46_1 &
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | ALPHA: (14052) implies:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | (14053) op(e1, e3) = all_46_1
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13632) gives:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | (14054) ~ (all_6_0 = e2) & op(e1, all_6_1) = all_6_0 &
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 255.73/50.44 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14054) implies:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14055) ~ (all_6_0 = e2)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14056) op(e1, e3) = all_6_1
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14057) op(e1, all_6_1) = all_6_0
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (14001), (14053) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14058) all_46_1 = e1
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | all_46_1, e3, e1, simplifying with (14053),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14056) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14059) all_46_1 = all_6_1
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14058), (14059) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14060) all_6_1 = e1
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | SIMP: (14060) implies:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14061) all_6_1 = e1
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14057), (14061) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14062) op(e1, e1) = all_6_0
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_6_0,
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13644), (14062) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14063) all_6_0 = e3
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (42), (45), (67), (76), (79),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (82), (110), (112), (113), (117), (118), (126),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (140), (145), (157),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (168), (170), (191), (192), (193), (195), (197),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (198), (201), (203), (204), (206), (208), (209),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (215), (221), (222), (223),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (231), (232), (235), (236), (238), (241), (251),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (252), (253), (261), (263), (264), (273), (275),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (282), (316), (323), (340), (344), (346), (350),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (13632), (13635), (13637), (13638), (13639),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (13643), (13646), (13648), (13650), (13652),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (13707), (13708), (13709), (13710), (13711),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (13712), (13722), (13723), (13990), (13993),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (13994), (14000), (14001), (14005), (14006),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14011), (14013), (14015), (14020), (14055),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14063), (function-axioms) are inconsistent by
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | sub-proof #444.
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14064) ~ (all_6_1 = e0) & op(e1, e3) = all_6_1 &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | $i(all_6_1)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14064) implies:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14065) ~ (all_6_1 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14066) op(e1, e3) = all_6_1
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (14001), (14053) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14067) all_46_1 = e1
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | all_46_1, e3, e1, simplifying with (14053),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14066) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14068) all_46_1 = all_6_1
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14067), (14068) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14069) all_6_1 = e1
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | SIMP: (14069) implies:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14070) all_6_1 = e1
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (14071) ~ (all_24_2 = e2)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (14071) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (14072) ~ (all_10_2 = e2)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (113), (135), (158), (160), (162), (164),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (170), (204), (224), (228),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (241), (282), (340), (346), (13635), (13637),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (13646), (13652), (13711), (13712), (13723),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (13994), (14006), (14011), (14072),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | #469.
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (14073) all_24_2 = e2
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (14074) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (42), (45), (76), (79),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (82), (110), (112), (113), (117), (118), (126),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (128), (133), (135), (136), (140), (145), (157),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (168), (170), (191), (192), (193), (195), (197),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (198), (201), (203), (206), (208), (209), (211),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (212), (213), (215), (221), (222), (223), (224),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (232), (235), (236), (238), (241), (251), (252),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (253), (261), (263), (264), (273), (275), (316),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (323), (344), (346), (350), (13632), (13635),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (13637), (13638), (13639), (13643), (13646),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (13648), (13650), (13652), (13707), (13708),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (13709), (13710), (13711), (13712), (13722),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (13723), (13990), (13993), (13994), (14000),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (14001), (14005), (14006), (14011), (14013),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (14015), (14020), (14065), (14066), (14073),
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (14074), (function-axioms) are inconsistent by
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | sub-proof #443.
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | (14075) all_56_9 = e1 & op(e3, e0) = e1
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13710), (14075), (function-axioms) are
% 255.73/50.45 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3036.
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | (14076) all_56_12 = e1 & op(e0, e3) = e1
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13708), (14076), (function-axioms) are
% 255.73/50.45 | | | | | | | | | | | | | | | | inconsistent by sub-proof #3077.
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | (14077) all_16_2 = e0
% 255.73/50.45 | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | COMBINE_EQS: (331), (14077) imply:
% 255.73/50.45 | | | | | | | | | | (14078) all_10_2 = e0
% 255.73/50.45 | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | REDUCE: (344), (14078) imply:
% 255.73/50.45 | | | | | | | | | | (14079) ~ (all_52_3 = e0)
% 255.73/50.45 | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | REDUCE: (346), (14078) imply:
% 255.73/50.45 | | | | | | | | | | (14080) ~ (all_52_4 = e0)
% 255.73/50.45 | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | REDUCE: (348), (14078) imply:
% 255.73/50.45 | | | | | | | | | | (14081) ~ (all_52_8 = e0)
% 255.73/50.45 | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | REDUCE: (350), (14078) imply:
% 255.73/50.45 | | | | | | | | | | (14082) ~ (all_52_12 = e0)
% 255.73/50.45 | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | BETA: splitting (230) gives:
% 255.73/50.45 | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | (14083) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 255.73/50.45 | | | | | | | | | | | & op(e3, e2) = e0)
% 255.73/50.45 | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | BETA: splitting (14083) gives:
% 255.73/50.45 | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | (14084) all_56_0 = e0 & op(e3, e3) = e0
% 255.73/50.45 | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | ALPHA: (14084) implies:
% 255.73/50.45 | | | | | | | | | | | | (14085) all_56_0 = e0
% 255.73/50.45 | | | | | | | | | | | | (14086) op(e3, e3) = e0
% 255.73/50.45 | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | BETA: splitting (61) gives:
% 255.73/50.45 | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | (14087) ~ (all_20_2 = e1)
% 255.73/50.45 | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | REDUCE: (322), (14087) imply:
% 255.73/50.45 | | | | | | | | | | | | | (14088) ~ (all_4_2 = e1)
% 255.73/50.45 | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 255.73/50.45 | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | (14089) all_54_15 = e3
% 255.73/50.45 | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | REF_CLOSE: (249), (13648), (14089) are inconsistent by
% 255.73/50.45 | | | | | | | | | | | | | | sub-proof #3475.
% 255.73/50.45 | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | (14090) ~ (all_54_15 = e3)
% 255.73/50.45 | | | | | | | | | | | | | | (14091) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 255.73/50.45 | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | BETA: splitting (14091) gives:
% 255.73/50.45 | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | (14092) all_54_15 = e2
% 255.73/50.45 | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (14092) are inconsistent by
% 255.73/50.45 | | | | | | | | | | | | | | | sub-proof #3474.
% 255.73/50.45 | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | (14093) all_54_15 = e1 | all_54_15 = e0
% 255.73/50.45 | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | BETA: splitting (14093) gives:
% 255.73/50.45 | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | (14094) all_54_15 = e1
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | REF_CLOSE: (249), (14088), (14094) are inconsistent by
% 255.73/50.45 | | | | | | | | | | | | | | | | sub-proof #3473.
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | (14095) all_54_15 = e0
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (14095) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | (14096) all_4_2 = e0
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | SIMP: (14096) implies:
% 255.73/50.45 | | | | | | | | | | | | | | | | (14097) all_4_2 = e0
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | REDUCE: (364), (14097) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | (14098) ~ (all_52_7 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | REDUCE: (371), (14097) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | (14099) ~ (all_52_11 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | REDUCE: (13648), (14097) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | (14100) ~ (e3 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | REDUCE: (14088), (14097) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | (14101) ~ (e1 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | REDUCE: (36), (14097) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | (14102) op(e0, e0) = e0
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | (14103) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | BETA: splitting (14103) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | (14104) all_56_1 = e0 & op(e3, e2) = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (14080), (14104), (function-axioms) are
% 255.73/50.45 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | (14105) all_56_3 = e0 & op(e2, e2) = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (13650), (14105), (function-axioms) are
% 255.73/50.45 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | End of split
% 255.73/50.45 | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | (14106) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 255.73/50.45 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | BETA: splitting (14106) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | (14107) all_56_7 = e0 & op(e1, e2) = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | ALPHA: (14107) implies:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | (14108) op(e1, e2) = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | (14109) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (14109) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14110) all_56_4 = e0 & op(e3, e1) = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14081), (14110), (function-axioms) are
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14111) all_56_5 = e0 & op(e2, e1) = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | ALPHA: (14111) implies:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14112) op(e2, e1) = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (14108) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14113) all_52_6 = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (14112) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14114) all_52_9 = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14114) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14115) ~ (all_52_1 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (14113) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14116) ~ (all_52_2 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14113) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14117) ~ (all_52_7 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (14113) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14118) ~ (all_52_14 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | SIMP: (14118) implies:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14119) ~ (all_52_14 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (14114) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14120) ~ (all_52_11 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (14114) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14121) ~ (all_52_13 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | SIMP: (14121) implies:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14122) ~ (all_52_13 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (14114) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | (14123) ~ (all_8_2 = e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14124) ~ (all_22_2 = e1)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | REDUCE: (326), (14124) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | (14125) ~ (all_8_2 = e1)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (14126) all_54_5 = e3
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (13645), (14126) are inconsistent by
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | sub-proof #3472.
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | (14127) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14127) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | (14128) all_54_5 = e2
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (14128) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | (14129) all_8_2 = e2
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14129) implies:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | (14130) all_8_2 = e2
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (14130) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | (14131) ~ (all_52_1 = e2)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (14130) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | (14132) ~ (all_52_13 = e2)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (14130) imply:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | (14133) op(e2, e2) = e2
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | (14134) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14134) gives:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | (14135) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 255.73/50.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13644), (14131), (14135),
% 255.73/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 255.73/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | #489.
% 255.73/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 255.73/50.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 255.73/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (14136) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14108), (14133), (14136), (function-axioms)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #442.
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14137) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14137) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (14138) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (169), (13636), (14112), (14138),
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | #441.
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (14139) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (159), (164), (14079), (14098),
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (14099), (14102), (14132), (14139),
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | #3456.
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | (14140) all_54_5 = e1 | all_54_5 = e0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (13650), (14125), (14140) are inconsistent
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3433.
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | (14141) all_22_2 = e1
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | (14142) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (14141) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | (14143) all_8_2 = e1
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | SIMP: (14143) implies:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | (14144) all_8_2 = e1
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (14144) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | (14145) all_30_2 = e1
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (14144) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | (14146) ~ (all_52_1 = e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (14144) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | (14147) ~ (all_52_13 = e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13645), (14144) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | (14148) ~ (e3 = e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (14144) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | (14149) op(e2, e2) = e1
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | (14150) ~ (all_30_2 = e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14145), (14150) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | (14151) $false
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14151) is inconsistent.
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | (14152) ( ~ (all_30_0 = e0) & op(e2, all_30_1) = all_30_0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14142) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | (14153) ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14153) implies:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | (14154) ~ (all_22_0 = e3)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | (14155) op(e2, e1) = all_22_1
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | (14156) op(e2, all_22_1) = all_22_0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_22_1,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (14112), (14155) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | (14157) all_22_1 = e0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14156), (14157) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | (14158) op(e2, e0) = all_22_0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14152) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14159) ~ (all_30_0 = e0) & op(e2, all_30_1) = all_30_0 &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14159) implies:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14160) op(e2, e1) = all_30_1
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14161) op(e2, all_30_1) = all_30_0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e0, e2, simplifying with (164), (14158)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14162) all_52_13 = all_22_0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (14112), (14160) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14163) all_30_1 = e0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (14162) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14164) all_54_7 = all_22_0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (14162) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14165) ~ (all_52_1 = all_22_0)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (14162) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14166) ~ (all_52_14 = all_22_0)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14166) implies:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14167) ~ (all_52_14 = all_22_0)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14147), (14162) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14168) ~ (all_22_0 = e1)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14122), (14162) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | (14169) ~ (all_22_0 = e0)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (14170) all_54_7 = e3
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14164), (14170) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (14171) all_22_0 = e3
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14154), (14171) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (14172) $false
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14172) is inconsistent.
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (14173) ~ (all_54_7 = e3)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | (14174) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14174) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (14175) all_54_7 = e2
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14164), (14175) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (14176) all_22_0 = e2
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14165), (14176) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (14177) ~ (all_52_1 = e2)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14167), (14176) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (14178) ~ (all_52_14 = e2)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14154), (14176) imply:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (14179) ~ (e3 = e2)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14180) all_54_11 = e3
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (13639), (14180) are inconsistent by
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2814.
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14181) ~ (all_54_11 = e3)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14182) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14183) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14183) gives:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14184) all_56_9 = e3 & op(e3, e0) = e3
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14184) implies:
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14185) all_56_9 = e3
% 256.02/50.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (45), (126),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (144), (148), (149), (157), (158), (159),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (167), (192), (196), (200), (225),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (232), (241), (252), (253), (262),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (13639), (13646), (13650), (14079),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14098), (14099), (14102), (14112), (14115),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14116), (14119), (14146), (14149), (14177),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14178), (14182), (14185), (function-axioms) are
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #440.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14186) all_56_10 = e3 & op(e2, e0) = e3
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14186) implies:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14187) op(e2, e0) = e3
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14112), (14154), (14155), (14156), (14160),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14161), (14187), (function-axioms) are
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14188) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (13639), (14102), (14188),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2180.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (14189) all_54_7 = e1 | all_54_7 = e0
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (14122), (14147), (14189) are inconsistent
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2795.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14190) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14190) implies:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14191) ~ (all_30_1 = e3)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14192) op(e2, e1) = all_30_1
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e0, e2, simplifying with (164), (14158)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14193) all_52_13 = all_22_0
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (14112), (14192) gives:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14194) all_30_1 = e0
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (14193) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14195) all_54_7 = all_22_0
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (14193) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14196) ~ (all_52_1 = all_22_0)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (14193) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14197) ~ (all_52_14 = all_22_0)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14197) implies:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14198) ~ (all_52_14 = all_22_0)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14147), (14193) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14199) ~ (all_22_0 = e1)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14122), (14193) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | (14200) ~ (all_22_0 = e0)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | (14201) all_54_7 = e3
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14195), (14201) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | (14202) all_22_0 = e3
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14154), (14202) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | (14203) $false
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14203) is inconsistent.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | (14204) ~ (all_54_7 = e3)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | (14205) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14205) gives:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (14206) all_54_7 = e2
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14195), (14206) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (14207) all_22_0 = e2
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14196), (14207) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (14208) ~ (all_52_1 = e2)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14198), (14207) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (14209) ~ (all_52_14 = e2)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14154), (14207) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (14210) ~ (e3 = e2)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14211) all_54_11 = e3
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (13639), (14211) are inconsistent by
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2814.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14212) ~ (all_54_11 = e3)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14213) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14214) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14214) gives:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14215) all_56_9 = e3 & op(e3, e0) = e3
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14215) implies:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14216) all_56_9 = e3
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (45), (126),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (144), (148), (149), (157), (158), (159),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (167), (192), (196), (200), (225),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (232), (241), (252), (253), (262),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (13639), (13646), (13650), (14079),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14098), (14099), (14102), (14112), (14115),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14116), (14119), (14146), (14149), (14208),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14209), (14213), (14216), (function-axioms) are
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #440.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14217) all_56_10 = e3 & op(e2, e0) = e3
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14217) implies:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14218) op(e2, e0) = e3
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14112), (14152), (14154), (14155), (14156),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14218), (function-axioms) are inconsistent by
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #902.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14219) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (13639), (14102), (14219),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2180.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (14220) all_54_7 = e1 | all_54_7 = e0
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (14122), (14147), (14220) are inconsistent
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2795.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | (14221) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14221) implies:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | (14222) ~ (all_22_1 = e0)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | (14223) op(e2, e1) = all_22_1
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14112), (14222), (14223), (function-axioms) are
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | (14224) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 256.02/50.47 | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (13643), (14099), (14224),
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.02/50.47 | | | | | | | | | | | | | | | | | | | #439.
% 256.02/50.47 | | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | (14225) all_56_13 = e0 & op(e0, e2) = e0
% 256.02/50.47 | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | ALPHA: (14225) implies:
% 256.02/50.47 | | | | | | | | | | | | | | | | | | (14226) op(e0, e2) = e0
% 256.02/50.47 | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14098), (14226), (function-axioms) are
% 256.02/50.47 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3460.
% 256.02/50.47 | | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | End of split
% 256.02/50.47 | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | (14227) all_20_2 = e1
% 256.02/50.47 | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | COMBINE_EQS: (322), (14227) imply:
% 256.02/50.47 | | | | | | | | | | | | | (14228) all_4_2 = e1
% 256.02/50.47 | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | SIMP: (14228) implies:
% 256.02/50.47 | | | | | | | | | | | | | (14229) all_4_2 = e1
% 256.02/50.47 | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | REDUCE: (371), (14229) imply:
% 256.02/50.47 | | | | | | | | | | | | | (14230) ~ (all_52_11 = e1)
% 256.02/50.47 | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | REDUCE: (372), (14229) imply:
% 256.02/50.47 | | | | | | | | | | | | | (14231) ~ (all_52_12 = e1)
% 256.02/50.47 | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | REDUCE: (374), (14229) imply:
% 256.02/50.47 | | | | | | | | | | | | | (14232) ~ (all_52_14 = e1)
% 256.02/50.47 | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | REDUCE: (36), (14229) imply:
% 256.02/50.47 | | | | | | | | | | | | | (14233) op(e0, e0) = e1
% 256.02/50.47 | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | BETA: splitting (64) gives:
% 256.02/50.47 | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | Case 1:
% 256.02/50.47 | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | (14234) ~ (all_22_2 = e1)
% 256.02/50.47 | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | REDUCE: (326), (14234) imply:
% 256.02/50.47 | | | | | | | | | | | | | | (14235) ~ (all_8_2 = e1)
% 256.02/50.47 | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 256.02/50.47 | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | Case 1:
% 256.02/50.47 | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | (14236) all_54_5 = e3
% 256.02/50.47 | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | COMBINE_EQS: (271), (14236) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | (14237) all_8_2 = e3
% 256.02/50.47 | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | REDUCE: (13645), (14237) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | (14238) $false
% 256.02/50.47 | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | CLOSE: (14238) is inconsistent.
% 256.02/50.47 | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | Case 2:
% 256.02/50.47 | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | (14239) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 256.02/50.47 | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | BETA: splitting (14239) gives:
% 256.02/50.47 | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | Case 1:
% 256.02/50.47 | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | (14240) all_54_5 = e2
% 256.02/50.47 | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (14240) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | (14241) all_8_2 = e2
% 256.02/50.47 | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | REDUCE: (351), (14241) imply:
% 256.02/50.47 | | | | | | | | | | | | | | | | (14242) ~ (all_52_1 = e2)
% 256.02/50.47 | | | | | | | | | | | | | | | |
% 256.02/50.47 | | | | | | | | | | | | | | | | REDUCE: (360), (14241) imply:
% 256.08/50.47 | | | | | | | | | | | | | | | | (14243) ~ (all_52_9 = e2)
% 256.08/50.47 | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | REDUCE: (362), (14241) imply:
% 256.08/50.47 | | | | | | | | | | | | | | | | (14244) ~ (all_52_13 = e2)
% 256.08/50.47 | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | REDUCE: (42), (14241) imply:
% 256.08/50.47 | | | | | | | | | | | | | | | | (14245) op(e2, e2) = e2
% 256.08/50.47 | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 256.08/50.47 | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.47 | | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | | (14246) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 256.08/50.47 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 256.08/50.47 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 256.08/50.47 | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.08/50.47 | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 256.08/50.47 | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 256.08/50.47 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 256.08/50.47 | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 256.08/50.47 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 256.08/50.47 | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 256.08/50.47 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 256.08/50.47 | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 256.08/50.47 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 256.08/50.47 | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 256.08/50.47 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 256.08/50.47 | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 256.08/50.47 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 256.08/50.47 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 256.08/50.47 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 256.08/50.47 | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 256.08/50.47 | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 256.08/50.47 | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 256.08/50.47 | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 256.08/50.47 | | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | | BETA: splitting (14246) gives:
% 256.08/50.47 | | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.47 | | | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | | | (14247) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 256.08/50.47 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 256.08/50.47 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 256.08/50.47 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.08/50.47 | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 256.08/50.47 | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 256.08/50.47 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 256.08/50.47 | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 256.08/50.47 | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 256.08/50.47 | | | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13644), (14242), (14247),
% 256.08/50.47 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.08/50.47 | | | | | | | | | | | | | | | | | | #489.
% 256.08/50.47 | | | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.47 | | | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | | | (14248) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 256.08/50.47 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 256.08/50.47 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 256.08/50.47 | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 256.08/50.47 | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 256.08/50.47 | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 256.08/50.47 | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.08/50.47 | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 256.08/50.47 | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 256.08/50.47 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 256.08/50.47 | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 256.08/50.47 | | | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (14245), (14248), (function-axioms) are
% 256.08/50.47 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3445.
% 256.08/50.47 | | | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | | End of split
% 256.08/50.47 | | | | | | | | | | | | | | | | |
% 256.08/50.47 | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.47 | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | (14249) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 256.08/50.48 | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 256.08/50.48 | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 256.08/50.48 | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 256.08/50.48 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 256.08/50.48 | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 256.08/50.48 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 256.08/50.48 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 256.08/50.48 | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 256.08/50.48 | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 256.08/50.48 | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.08/50.48 | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 256.08/50.48 | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 256.08/50.48 | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 256.08/50.48 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 256.08/50.48 | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 256.08/50.48 | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 256.08/50.48 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 256.08/50.48 | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 256.08/50.48 | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 256.08/50.48 | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | BETA: splitting (14249) gives:
% 256.08/50.48 | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.48 | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (14250) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 256.08/50.48 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 256.08/50.48 | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (13636), (14243), (14250),
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.08/50.48 | | | | | | | | | | | | | | | | | | #3464.
% 256.08/50.48 | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.48 | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (14251) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 256.08/50.48 | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 256.08/50.48 | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 256.08/50.48 | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 256.08/50.48 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 256.08/50.48 | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | BETA: splitting (14251) gives:
% 256.08/50.48 | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.48 | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | (14252) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14086), (14252), (function-axioms) are
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2766.
% 256.08/50.48 | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.48 | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | (14253) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 256.08/50.48 | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | BETA: splitting (14253) gives:
% 256.08/50.48 | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (14254) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | ALPHA: (14254) implies:
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (14255) op(e2, e0) = e2
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14244), (14255), (function-axioms) are
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (14256) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | ALPHA: (14256) implies:
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (14257) op(e0, e0) = all_57_31
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (14258) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14258) gives:
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.48 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (14259) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14079), (14245), (14259),
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | #3442.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (14260) (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) & op(e1,
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_5 & op(e1, e2) = all_57_13 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = all_57_29
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_5) & $i(all_57_13)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_21) & $i(all_57_29)) | (all_57_29 =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e3) & ~ (all_57_15 = e2) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 & op(e0,
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_21) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14232), (14233), (14257), (14260),
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | #3072.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.49 | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.49 | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | End of split
% 256.08/50.49 | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | End of split
% 256.08/50.49 | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | (14261) all_54_5 = e1 | all_54_5 = e0
% 256.08/50.49 | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | REF_CLOSE: (271), (13650), (14235), (14261) are inconsistent
% 256.08/50.49 | | | | | | | | | | | | | | | | by sub-proof #3433.
% 256.08/50.49 | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | End of split
% 256.08/50.49 | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | End of split
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | (14262) all_22_2 = e1
% 256.08/50.49 | | | | | | | | | | | | | | (14263) ( ~ (all_22_0 = e3) & op(e2, all_22_1) = all_22_0
% 256.08/50.49 | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 256.08/50.49 | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 256.08/50.49 | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | COMBINE_EQS: (326), (14262) imply:
% 256.08/50.49 | | | | | | | | | | | | | | (14264) all_8_2 = e1
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | SIMP: (14264) implies:
% 256.08/50.49 | | | | | | | | | | | | | | (14265) all_8_2 = e1
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | COMBINE_EQS: (313), (14265) imply:
% 256.08/50.49 | | | | | | | | | | | | | | (14266) all_30_2 = e1
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | REDUCE: (354), (14265) imply:
% 256.08/50.49 | | | | | | | | | | | | | | (14267) ~ (all_52_4 = e1)
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | REDUCE: (356), (14265) imply:
% 256.08/50.49 | | | | | | | | | | | | | | (14268) ~ (all_52_6 = e1)
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | REDUCE: (360), (14265) imply:
% 256.08/50.49 | | | | | | | | | | | | | | (14269) ~ (all_52_9 = e1)
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | REDUCE: (13645), (14265) imply:
% 256.08/50.49 | | | | | | | | | | | | | | (14270) ~ (e3 = e1)
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | REDUCE: (42), (14265) imply:
% 256.08/50.49 | | | | | | | | | | | | | | (14271) op(e2, e2) = e1
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 256.08/50.49 | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | (14272) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 256.08/50.49 | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 256.08/50.49 | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | BETA: splitting (14272) gives:
% 256.08/50.49 | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | (14273) all_56_4 = e1 & op(e3, e1) = e1
% 256.08/50.49 | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | ALPHA: (14273) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | (14274) all_56_4 = e1
% 256.08/50.49 | | | | | | | | | | | | | | | | (14275) op(e3, e1) = e1
% 256.08/50.49 | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | (14276) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 256.08/50.49 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 256.08/50.49 | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | BETA: splitting (14276) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | (14277) all_56_6 = e1 & op(e1, e3) = e1
% 256.08/50.49 | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | ALPHA: (14277) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | (14278) all_56_6 = e1
% 256.08/50.49 | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | (14279) ~ (all_30_2 = e1)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | REDUCE: (14266), (14279) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | (14280) $false
% 256.08/50.49 | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | CLOSE: (14280) is inconsistent.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | (14281) ( ~ (all_30_0 = e0) & op(e2, all_30_1) = all_30_0
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 256.08/50.49 | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | (14282) all_54_11 = e3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (13639), (14282) are inconsistent by
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | sub-proof #2814.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | (14283) ~ (all_54_11 = e3)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | (14284) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (14285) all_54_3 = e3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (14285) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (14286) all_52_12 = e3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | SIMP: (14286) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (14287) all_52_12 = e3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (14287) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (14288) ~ (all_52_4 = e3)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (14287) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (14289) ~ (all_52_13 = e3)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | SIMP: (14289) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | (14290) ~ (all_52_13 = e3)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | (14291) all_54_1 = e3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (14288), (14291) are inconsistent by
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2977.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | (14292) ~ (all_54_1 = e3)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | (14293) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | (14294) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14294) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | (14295) all_56_2 = e3 & op(e2, e3) = e3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14295) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | (14296) op(e2, e3) = e3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14293) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | (14297) all_54_1 = e2
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14297) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | (14298) all_52_4 = e2
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14298) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | (14299) all_52_4 = e2
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (14299) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | (14300) ~ (all_52_6 = e2)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14300) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | (14301) ~ (all_52_6 = e2)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14288), (14299) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | (14302) ~ (e3 = e2)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (14303) all_54_9 = e3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (13635), (14303) are inconsistent by
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2980.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (14304) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14304) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14305) all_54_9 = e2
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (14301), (14305) are inconsistent by
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2979.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14306) all_54_9 = e1 | all_54_9 = e0
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14306) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14307) all_54_9 = e1
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (14268), (14307) are inconsistent by
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2978.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14308) all_54_9 = e0
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (14308) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14309) all_52_6 = e0
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14309) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14310) all_52_6 = e0
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14310) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14311) ~ (all_52_7 = e0)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14311) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14312) ~ (all_52_7 = e0)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (14310) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14313) ~ (all_52_14 = e0)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14313) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14314) ~ (all_52_14 = e0)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14268), (14310) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14315) ~ (e1 = e0)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (14310) imply:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14316) op(e1, e2) = e0
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14317) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14317) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14275), (14296), (14318), (function-axioms)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #438.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14319) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14319) gives:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14320) all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) = all_57_3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & $i(all_57_1) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14320) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14321) ~ (all_57_3 = e3)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14322) op(e2, e3) = all_57_3
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14296), (14321), (14322), (function-axioms) are
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2449.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14323) all_57_13 = e1 & ~ (all_57_3 = e3) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & ~ (all_57_27 = e0) & op(e2,
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_21 &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_27)
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14323) implies:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14324) op(e1, e2) = e1
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14316), (14324), (function-axioms) are
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #475.
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14325) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14325) gives:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14326) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14271), (14275), (14326), (function-axioms)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2502.
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14327) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14327) gives:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14328) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14086), (14328), (function-axioms) are
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2766.
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14329) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14329) gives:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14330) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14330) implies:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14331) op(e2, e0) = e2
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14284) gives:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14332) all_54_11 = e2
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (14332) imply:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14333) all_52_14 = e2
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14333) implies:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14334) all_52_14 = e2
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (14334) imply:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14335) ~ (all_52_13 = e2)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14331), (14335), (function-axioms) are
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3462.
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14336) all_54_11 = e1 | all_54_11 = e0
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (14232), (14314), (14336) are inconsistent
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2689.
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14337) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (160), (14079), (14232), (14233),
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14312), (14337), (function-axioms) are
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2969.
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | (14338) all_54_1 = e1 | all_54_1 = e0
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (14080), (14267), (14338) are inconsistent
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2974.
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | (14339) all_56_3 = e3 & op(e2, e2) = e3
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14339) implies:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | (14340) op(e2, e2) = e3
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14271), (14340), (function-axioms) are
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | (14341) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14341) gives:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | (14342) all_56_5 = e3 & op(e2, e1) = e3
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13637), (14342), (function-axioms) are
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #710.
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | (14343) all_56_10 = e3 & op(e2, e0) = e3
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14290), (14343), (function-axioms) are
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | (14344) ~ (all_54_3 = e3)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | (14345) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (14344) imply:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | (14346) ~ (all_52_12 = e3)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14345) gives:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | (14347) all_54_3 = e2
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (14347) imply:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | (14348) all_52_12 = e2
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14348) implies:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | (14349) all_52_12 = e2
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (14349) imply:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | (14350) ~ (all_52_4 = e2)
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.50 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | (14351) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14351) gives:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | (14352) all_56_9 = e3 & op(e3, e0) = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14352) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | (14353) op(e3, e0) = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (203), (275), (14080), (14267),
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | (14350), (14353), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2661.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | (14354) all_56_10 = e3 & op(e2, e0) = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14354) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | (14355) all_56_10 = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | (14356) op(e2, e0) = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | (14357) all_54_1 = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14357) imply:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | (14358) all_52_4 = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (14358) imply:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | (14359) ~ (all_52_6 = e3)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (14358) imply:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | (14360) ~ (all_52_7 = e3)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14360) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | (14361) ~ (all_52_7 = e3)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (14362) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14362) gives:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14363) all_56_1 = e3 & op(e3, e2) = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14363) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14364) all_56_1 = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14365) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (168), (236), (14086),
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14274), (14346), (14365), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1303.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14366) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14366) gives:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14367) all_56_4 = e2 & op(e3, e1) = e2
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14367) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14368) all_56_4 = e2
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14274), (14368) are inconsistent by
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2958.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14369) all_56_9 = e2 & op(e3, e0) = e2
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14369) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14370) all_56_9 = e2
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14371) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14371) gives:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14372) all_56_2 = e0 & op(e2, e3) = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14372) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14373) all_56_2 = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (14086),
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14278), (14373), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3239.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14374) all_56_3 = e0 & op(e2, e2) = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (13650), (14374), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3428.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14375) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14375) gives:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14376) all_56_5 = e0 & op(e2, e1) = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14263), (14281), (14356), (14376),
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #900.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14377) all_56_10 = e0 & op(e2, e0) = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14377) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14378) all_56_10 = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14355), (14378) imply:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14379) e3 = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14364), (14379) imply:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14380) all_56_1 = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (168), (232), (236), (14085),
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14086), (14346), (14370), (14380),
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1609.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14381) all_56_3 = e3 & op(e2, e2) = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14381) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14382) op(e2, e2) = e3
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14271), (14382), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3431.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (14383) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (13635), (14361), (14383),
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | | #454.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | (14384) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (14080), (14267), (14350), (14384) are
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2662.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | (14385) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (160), (13639), (13648), (14385),
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | | #447.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | (14386) all_54_3 = e1 | all_54_3 = e0
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (14082), (14231), (14386) are inconsistent
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2189.
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | (14387) all_56_7 = e1 & op(e1, e2) = e1
% 256.08/50.51 | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | ALPHA: (14387) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | | | (14388) op(e1, e2) = e1
% 256.08/50.51 | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (14268), (14388), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3411.
% 256.08/50.51 | | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | (14389) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 256.08/50.51 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 256.08/50.51 | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (13644), (14232), (14389),
% 256.08/50.51 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.08/50.51 | | | | | | | | | | | | | | | | | #436.
% 256.08/50.51 | | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | (14390) all_56_5 = e1 & op(e2, e1) = e1
% 256.08/50.51 | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | ALPHA: (14390) implies:
% 256.08/50.51 | | | | | | | | | | | | | | | | (14391) op(e2, e1) = e1
% 256.08/50.51 | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14269), (14391), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | | | | | | inconsistent by sub-proof #740.
% 256.08/50.51 | | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | (14392) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 256.08/50.51 | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 256.08/50.51 | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (13644), (14230), (14392),
% 256.08/50.51 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.08/50.51 | | | | | | | | | | | | | | | #435.
% 256.08/50.51 | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | (14393) all_56_1 = e0 & op(e3, e2) = e0
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | REF_CLOSE: (170), (14080), (14393), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | | inconsistent by sub-proof #2674.
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | (14394) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 256.08/50.51 | | | | | | | | | | | & op(e3, e0) = e0)
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | BETA: splitting (14394) gives:
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | (14395) all_56_4 = e0 & op(e3, e1) = e0
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | REF_CLOSE: (169), (14081), (14395), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | (14396) all_56_9 = e0 & op(e3, e0) = e0
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | REF_CLOSE: (168), (14082), (14396), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | | inconsistent by sub-proof #3331.
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | End of split
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | (14397) all_14_2 = e0
% 256.08/50.51 | | | | | | | | | (14398) ( ~ (all_14_0 = e3) & op(e2, all_14_1) = all_14_0 &
% 256.08/50.51 | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 256.08/50.51 | | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e1) & op(e2, e0)
% 256.08/50.51 | | | | | | | | | = all_14_1 & $i(all_14_1))
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | COMBINE_EQS: (333), (14397) imply:
% 256.08/50.51 | | | | | | | | | (14399) all_8_2 = e0
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | SIMP: (14399) implies:
% 256.08/50.51 | | | | | | | | | (14400) all_8_2 = e0
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | COMBINE_EQS: (295), (14400) imply:
% 256.08/50.51 | | | | | | | | | (14401) all_48_2 = e0
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | REDUCE: (351), (14400) imply:
% 256.08/50.51 | | | | | | | | | (14402) ~ (all_52_1 = e0)
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | REDUCE: (354), (14400) imply:
% 256.08/50.51 | | | | | | | | | (14403) ~ (all_52_4 = e0)
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | REDUCE: (356), (14400) imply:
% 256.08/50.51 | | | | | | | | | (14404) ~ (all_52_6 = e0)
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | REDUCE: (358), (14400) imply:
% 256.08/50.51 | | | | | | | | | (14405) ~ (all_52_7 = e0)
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | REDUCE: (360), (14400) imply:
% 256.08/50.51 | | | | | | | | | (14406) ~ (all_52_9 = e0)
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | REDUCE: (362), (14400) imply:
% 256.08/50.51 | | | | | | | | | (14407) ~ (all_52_13 = e0)
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | REDUCE: (13645), (14400) imply:
% 256.08/50.51 | | | | | | | | | (14408) ~ (e3 = e0)
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | BETA: splitting (225) gives:
% 256.08/50.51 | | | | | | | | |
% 256.08/50.51 | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | (14409) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 256.08/50.51 | | | | | | | | | | & op(e2, e2) = e0)
% 256.08/50.51 | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | BETA: splitting (14409) gives:
% 256.08/50.51 | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | (14410) all_56_1 = e0 & op(e3, e2) = e0
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | REF_CLOSE: (170), (14403), (14410), (function-axioms) are
% 256.08/50.51 | | | | | | | | | | | inconsistent by sub-proof #2674.
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | (14411) all_56_3 = e0 & op(e2, e2) = e0
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | ALPHA: (14411) implies:
% 256.08/50.51 | | | | | | | | | | | (14412) all_56_3 = e0
% 256.08/50.51 | | | | | | | | | | | (14413) op(e2, e2) = e0
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | BETA: splitting (55) gives:
% 256.08/50.51 | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | (14414) ~ (all_16_2 = e0)
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | REDUCE: (331), (14414) imply:
% 256.08/50.51 | | | | | | | | | | | | (14415) ~ (all_10_2 = e0)
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | BETA: splitting (61) gives:
% 256.08/50.51 | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | (14416) ~ (all_20_2 = e1)
% 256.08/50.51 | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | REDUCE: (322), (14416) imply:
% 256.08/50.51 | | | | | | | | | | | | | (14417) ~ (all_4_2 = e1)
% 256.08/50.51 | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 256.08/50.51 | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | (14418) all_54_15 = e3
% 256.08/50.51 | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | REF_CLOSE: (249), (13648), (14418) are inconsistent by
% 256.08/50.51 | | | | | | | | | | | | | | sub-proof #3475.
% 256.08/50.51 | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | (14419) ~ (all_54_15 = e3)
% 256.08/50.51 | | | | | | | | | | | | | | (14420) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 256.08/50.51 | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | BETA: splitting (14420) gives:
% 256.08/50.51 | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | (14421) all_54_15 = e2
% 256.08/50.51 | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (14421) are inconsistent by
% 256.08/50.51 | | | | | | | | | | | | | | | sub-proof #3474.
% 256.08/50.51 | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | Case 2:
% 256.08/50.51 | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | (14422) ~ (all_54_15 = e2)
% 256.08/50.51 | | | | | | | | | | | | | | | (14423) all_54_15 = e1 | all_54_15 = e0
% 256.08/50.51 | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | BETA: splitting (14423) gives:
% 256.08/50.51 | | | | | | | | | | | | | | |
% 256.08/50.51 | | | | | | | | | | | | | | | Case 1:
% 256.08/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | (14424) all_54_15 = e1
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | REF_CLOSE: (249), (14417), (14424) are inconsistent by
% 256.26/50.51 | | | | | | | | | | | | | | | | sub-proof #3473.
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | Case 2:
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | (14425) all_54_15 = e0
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (14425) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | (14426) all_4_2 = e0
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | SIMP: (14426) implies:
% 256.26/50.51 | | | | | | | | | | | | | | | | (14427) all_4_2 = e0
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | REDUCE: (371), (14427) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | (14428) ~ (all_52_11 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | REDUCE: (374), (14427) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | (14429) ~ (all_52_14 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | REDUCE: (375), (14427) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | (14430) ~ (e2 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | REDUCE: (14417), (14427) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | (14431) ~ (e1 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | REDUCE: (36), (14427) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | (14432) op(e0, e0) = e0
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 256.26/50.51 | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.51 | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | (14433) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 256.26/50.51 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | BETA: splitting (14433) gives:
% 256.26/50.51 | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.51 | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | (14434) all_56_6 = e0 & op(e1, e3) = e0
% 256.26/50.51 | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | ALPHA: (14434) implies:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | (14435) all_56_6 = e0
% 256.26/50.51 | | | | | | | | | | | | | | | | | | (14436) op(e1, e3) = e0
% 256.26/50.51 | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 256.26/50.51 | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | (14437) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (14437) gives:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14438) all_56_4 = e0 & op(e3, e1) = e0
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | ALPHA: (14438) implies:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14439) all_56_4 = e0
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14440) op(e3, e1) = e0
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (14436) gives:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14441) all_52_2 = e0
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (14440) gives:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14442) all_52_8 = e0
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (14441) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14443) ~ (all_52_3 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | SIMP: (14443) implies:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14444) ~ (all_52_3 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (14441) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14445) ~ (all_52_14 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (14442) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14446) ~ (all_52_11 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (14442) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14447) ~ (all_52_12 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | SIMP: (14447) implies:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14448) ~ (all_52_12 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (14442) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | (14449) ~ (all_10_2 = e0)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | (14450) ~ (all_46_2 = e3)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13633), (14450) imply:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | (14451) $false
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | CLOSE: (14451) is inconsistent.
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | (14452) ( ~ (all_46_0 = e0) & op(e1, all_46_1) = all_46_0
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13632) gives:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | | (14453) ~ (all_6_0 = e2) & op(e1, all_6_1) = all_6_0 &
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.51 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14453) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | (14454) ~ (all_6_0 = e2)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | (14455) op(e1, e3) = all_6_1
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | (14456) op(e1, all_6_1) = all_6_0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_6_1,
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (14436), (14455) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | (14457) all_6_1 = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14456), (14457) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | (14458) op(e1, e0) = all_6_0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14452) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14459) ~ (all_46_0 = e0) & op(e1, all_46_1) = all_46_0 &
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_46_1 & $i(all_46_0) &
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14459) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14460) op(e1, e3) = all_46_1
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | all_6_0, e0, e1, simplifying with (160), (14458)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14461) all_52_14 = all_6_0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (14436), (14460) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14462) all_46_1 = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (14461) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14463) all_54_11 = all_6_0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (14461) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14464) ~ (all_52_6 = all_6_0)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (14461) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14465) ~ (all_52_12 = all_6_0)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13639), (14461) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14466) ~ (all_6_0 = e3)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14429), (14461) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14467) ~ (all_6_0 = e0)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | (14468) all_54_11 = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14463), (14466), (14468) are inconsistent by
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #434.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | (14469) ~ (all_54_11 = e3)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | (14470) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14470) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | (14471) all_54_11 = e2
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14454), (14463), (14471) are inconsistent by
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | (14472) ~ (all_54_11 = e2)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | (14473) all_54_11 = e1 | all_54_11 = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14473) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14474) all_54_11 = e1
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14463), (14474) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14475) all_6_0 = e1
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14475) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14476) all_6_0 = e1
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14464), (14476) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14477) ~ (all_52_6 = e1)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14465), (14476) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14478) ~ (all_52_12 = e1)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14466), (14476) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14479) ~ (e3 = e1)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14480) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14480) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14481) all_56_6 = e2 & op(e1, e3) = e2
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14435), (14481) are inconsistent by
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2711.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14482) all_56_7 = e2 & op(e1, e2) = e2
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (42), (45), (67), (113), (133), (140),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (157), (158), (159), (162), (163), (164),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (192), (201), (204), (228),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (241), (252), (273), (282), (323), (340),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344), (346), (350), (13635), (13645), (13646),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14403), (14405), (14413), (14415), (14428),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14432), (14436), (14439), (14444), (14448),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14477), (14478), (14482), (function-axioms) are
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #431.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14483) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13643), (14454), (14458), (14483),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | #430.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14484) all_54_11 = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14463), (14467), (14484) are inconsistent by
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #429.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14485) ~ (all_46_1 = e2) & op(e1, e3) = all_46_1 &
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14485) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14486) ~ (all_46_1 = e2)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14487) op(e1, e3) = all_46_1
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | all_6_0, e0, e1, simplifying with (160), (14458)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14488) all_52_14 = all_6_0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (14436), (14487) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14489) all_46_1 = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (14488) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14490) all_54_11 = all_6_0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (14488) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14491) ~ (all_52_6 = all_6_0)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (14488) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14492) ~ (all_52_12 = all_6_0)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13639), (14488) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14493) ~ (all_6_0 = e3)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14429), (14488) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | (14494) ~ (all_6_0 = e0)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | (14495) all_54_11 = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14490), (14493), (14495) are inconsistent by
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #434.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | (14496) ~ (all_54_11 = e3)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | (14497) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14497) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | (14498) all_54_11 = e2
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14454), (14490), (14498) are inconsistent by
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | (14499) ~ (all_54_11 = e2)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | (14500) all_54_11 = e1 | all_54_11 = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14500) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14501) all_54_11 = e1
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14490), (14501) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14502) all_6_0 = e1
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14502) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14503) all_6_0 = e1
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14491), (14503) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14504) ~ (all_52_6 = e1)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14492), (14503) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14505) ~ (all_52_12 = e1)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14493), (14503) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14506) ~ (e3 = e1)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14507) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14507) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14508) all_56_6 = e2 & op(e1, e3) = e2
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14508) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14509) op(e1, e3) = e2
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13632), (14486), (14487), (14509),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #427.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14510) all_56_7 = e2 & op(e1, e2) = e2
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (42), (45), (67), (113), (133), (140),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (157), (158), (159), (162), (163), (164),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (192), (201), (204), (228),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (241), (252), (273), (282), (323), (340),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344), (346), (350), (13635), (13645), (13646),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14403), (14405), (14413), (14415), (14428),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14432), (14436), (14439), (14444), (14448),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14504), (14505), (14510), (function-axioms) are
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #431.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14511) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13643), (14454), (14458), (14511),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | #430.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14512) all_54_11 = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14490), (14494), (14512) are inconsistent by
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #429.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | (14513) ~ (all_6_1 = e0) & op(e1, e3) = all_6_1 &
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | $i(all_6_1)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14513) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | (14514) ~ (all_6_1 = e0)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | (14515) op(e1, e3) = all_6_1
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14436), (14452), (14514), (14515),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | | #461.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | (14516) all_56_5 = e0 & op(e2, e1) = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | ALPHA: (14516) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | (14517) op(e2, e1) = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14406), (14517), (function-axioms) are
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2782.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | (14518) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (13643), (14428), (14518),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | #439.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | (14519) all_56_7 = e0 & op(e1, e2) = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | ALPHA: (14519) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | (14520) all_56_7 = e0
% 256.26/50.52 | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | (14412), (14520) are inconsistent by sub-proof
% 256.26/50.52 | | | | | | | | | | | | | | | | | | #3252.
% 256.26/50.52 | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | (14521) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 256.26/50.52 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (13643), (14429), (14521),
% 256.26/50.52 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.26/50.52 | | | | | | | | | | | | | | | | | #426.
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | End of split
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | (14522) all_20_2 = e1
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | COMBINE_EQS: (322), (14522) imply:
% 256.26/50.52 | | | | | | | | | | | | | (14523) all_4_2 = e1
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | SIMP: (14523) implies:
% 256.26/50.52 | | | | | | | | | | | | | (14524) all_4_2 = e1
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | COMBINE_EQS: (311), (14524) imply:
% 256.26/50.52 | | | | | | | | | | | | | (14525) all_34_2 = e1
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | REDUCE: (353), (14524) imply:
% 256.26/50.52 | | | | | | | | | | | | | (14526) ~ (all_52_3 = e1)
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | REDUCE: (364), (14524) imply:
% 256.26/50.52 | | | | | | | | | | | | | (14527) ~ (all_52_7 = e1)
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | REDUCE: (371), (14524) imply:
% 256.26/50.52 | | | | | | | | | | | | | (14528) ~ (all_52_11 = e1)
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | REDUCE: (372), (14524) imply:
% 256.26/50.52 | | | | | | | | | | | | | (14529) ~ (all_52_12 = e1)
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | REDUCE: (373), (14524) imply:
% 256.26/50.52 | | | | | | | | | | | | | (14530) ~ (all_52_13 = e1)
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | REDUCE: (374), (14524) imply:
% 256.26/50.52 | | | | | | | | | | | | | (14531) ~ (all_52_14 = e1)
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | REDUCE: (13648), (14524) imply:
% 256.26/50.52 | | | | | | | | | | | | | (14532) ~ (e3 = e1)
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | BETA: splitting (207) gives:
% 256.26/50.52 | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | (14533) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 256.26/50.52 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 256.26/50.52 | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (14526), (14527), (14533),
% 256.26/50.52 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.26/50.52 | | | | | | | | | | | | | | #3076.
% 256.26/50.52 | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | (14534) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 256.26/50.52 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 256.26/50.52 | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | BETA: splitting (14534) gives:
% 256.26/50.52 | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | (14535) all_56_14 = e1 & op(e0, e1) = e1
% 256.26/50.52 | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | REF_CLOSE: (157), (14528), (14535), (function-axioms) are
% 256.26/50.52 | | | | | | | | | | | | | | | inconsistent by sub-proof #3075.
% 256.26/50.52 | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | (14536) all_56_15 = e1 & op(e0, e0) = e1
% 256.26/50.52 | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | ALPHA: (14536) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | (14537) all_56_15 = e1
% 256.26/50.52 | | | | | | | | | | | | | | | (14538) op(e0, e0) = e1
% 256.26/50.52 | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 256.26/50.52 | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | (14539) ~ (all_24_2 = e2)
% 256.26/50.52 | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | REDUCE: (323), (14539) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | (14540) ~ (all_10_2 = e2)
% 256.26/50.52 | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | (14541) all_54_0 = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (14541) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | (14542) all_10_2 = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | REDUCE: (346), (14542) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | (14543) ~ (all_52_4 = e3)
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | REDUCE: (350), (14542) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | (14544) ~ (all_52_12 = e3)
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | REDUCE: (45), (14542) imply:
% 256.26/50.52 | | | | | | | | | | | | | | | | | (14545) op(e3, e3) = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | (14546) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 256.26/50.52 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 256.26/50.52 | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | BETA: splitting (14546) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | (14547) all_56_9 = e3 & op(e3, e0) = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | ALPHA: (14547) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | (14548) op(e3, e0) = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14544), (14548), (function-axioms) are
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | (14549) all_56_10 = e3 & op(e2, e0) = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | ALPHA: (14549) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | (14550) all_56_10 = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | (14551) op(e2, e0) = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | (14552) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (170), (13645), (14543), (14552),
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | #425.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | (14553) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14553) gives:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | (14554) all_56_7 = e3 & op(e1, e2) = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13635), (14554), (function-axioms) are
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | (14555) all_56_13 = e3 & op(e0, e2) = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14555) implies:
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | | (14556) all_56_13 = e3
% 256.26/50.52 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (14551) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | (14557) all_52_13 = e3
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (14557) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | (14558) ~ (all_52_1 = e3)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | (14559) ~ (all_48_2 = e0)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14401), (14559) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | (14560) $false
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14560) is inconsistent.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | (14561) ( ~ (all_48_0 = e1) & op(e2, all_48_1) = all_48_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14398) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | (14562) ~ (all_14_0 = e3) & op(e2, all_14_1) = all_14_0 &
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14562) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | (14563) op(e2, e0) = all_14_1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | (14564) op(e2, all_14_1) = all_14_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_14_1,
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (14551), (14563) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | (14565) all_14_1 = e3
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14564), (14565) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | (14566) op(e2, e3) = all_14_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14561) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14567) ~ (all_48_0 = e1) & op(e2, all_48_1) = all_48_0 &
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14567) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14568) ~ (all_48_0 = e1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14569) op(e2, e0) = all_48_1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14570) op(e2, all_48_1) = all_48_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (14551), (14569) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14571) all_48_1 = e3
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | all_14_0, e3, e2, simplifying with (167), (14566)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14572) all_52_1 = all_14_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (14572) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14573) all_54_4 = all_14_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14572) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14574) ~ (all_52_9 = all_14_0)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14574) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14575) ~ (all_52_9 = all_14_0)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14558), (14572) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14576) ~ (all_14_0 = e3)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14402), (14572) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14577) ~ (all_14_0 = e0)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14570), (14571) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14578) op(e2, e3) = all_48_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_0,
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e3, e2, simplifying with (14566),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14578) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14579) all_48_0 = all_14_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14568), (14579) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14580) ~ (all_14_0 = e1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14581) all_54_4 = e3
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14573), (14581) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14582) all_14_0 = e3
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14582) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14583) all_14_0 = e3
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14576), (14583) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14584) $false
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14584) is inconsistent.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14585) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (14586) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14586) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14587) all_56_2 = e1 & op(e2, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14587) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14588) op(e2, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14566), (14573), (14577), (14580), (14585),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14588), (function-axioms) are inconsistent by
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2117.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14589) all_56_3 = e1 & op(e2, e2) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14589) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14590) all_56_3 = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14412), (14590) are inconsistent by
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3393.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (14591) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14591) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14592) all_56_5 = e1 & op(e2, e1) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14592) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14593) op(e2, e1) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14585) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14594) all_54_4 = e2
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14573), (14594) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14595) all_14_0 = e2
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14595) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14596) all_14_0 = e2
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14575), (14596) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14597) ~ (all_52_9 = e2)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (165), (168), (169), (241), (13636),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14405), (14413), (14531), (14538), (14544),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14545), (14593), (14597), (function-axioms) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #424.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14598) all_54_4 = e1 | all_54_4 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14573), (14577), (14580), (14598) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2118.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14599) all_56_10 = e1 & op(e2, e0) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14530), (14599), (function-axioms) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #905.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14600) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14398), (14551), (14600), (function-axioms) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #423.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | (14601) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14601) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | (14602) ~ (all_14_1 = e1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | (14603) op(e2, e0) = all_14_1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_14_1,
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (14551), (14603) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | (14604) all_14_1 = e3
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14561) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14605) ~ (all_48_0 = e1) & op(e2, all_48_1) = all_48_0 &
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14605) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14606) ~ (all_48_0 = e1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14607) op(e2, e0) = all_48_1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14608) op(e2, all_48_1) = all_48_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (14551), (14607) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14609) all_48_1 = e3
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14608), (14609) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14610) op(e2, e3) = all_48_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e3, e2, simplifying with (167), (14610)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14611) all_52_1 = all_48_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (14611) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14612) all_54_4 = all_48_0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14611) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14613) ~ (all_52_9 = all_48_0)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14613) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14614) ~ (all_52_9 = all_48_0)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14558), (14611) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14615) ~ (all_48_0 = e3)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14402), (14611) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14616) ~ (all_48_0 = e0)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14617) all_54_4 = e3
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14612), (14617) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14618) all_48_0 = e3
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14615), (14618) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14619) $false
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14619) is inconsistent.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14620) ~ (all_54_4 = e3)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14621) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14621) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (14622) all_54_4 = e2
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14612), (14622) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (14623) all_48_0 = e2
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14614), (14623) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (14624) ~ (all_52_9 = e2)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14615), (14623) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (14625) ~ (e3 = e2)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14626) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14626) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14627) all_56_0 = e1 & op(e3, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14627) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14628) op(e3, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14545), (14628), (function-axioms) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2944.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14629) all_56_2 = e1 & op(e2, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14629) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14630) op(e2, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14606), (14610), (14612), (14616), (14621),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14630), (function-axioms) are inconsistent by
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2088.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14631) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14631) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14632) all_56_6 = e1 & op(e1, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14632) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14633) op(e1, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14634) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14634) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14635) all_56_6 = e0 & op(e1, e3) = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14635) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14636) op(e1, e3) = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14633), (14636), (function-axioms) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14637) all_56_7 = e0 & op(e1, e2) = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14637) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14638) all_56_7 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14412), (14556), (14638) are inconsistent by
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2926.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14639) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14639) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14640) all_56_8 = e0 & op(e1, e1) = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14640) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14641) all_56_8 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13643), (14641) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14642) e3 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14642) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14643) e3 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14550), (14643) imply:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14644) all_56_10 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (170),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (14403), (14404),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14405), (14644), (function-axioms) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #765.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14645) all_56_11 = e0 & op(e1, e0) = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14645) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14646) all_56_11 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14647) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14647) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14648) all_56_2 = e1 & op(e2, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14648) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14649) op(e2, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14606), (14610), (14612), (14616), (14621),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14649), (function-axioms) are inconsistent by
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2088.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14650) all_56_3 = e1 & op(e2, e2) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14650) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14651) all_56_3 = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14412), (14651) are inconsistent by
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3393.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14652) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14652) gives:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14653) all_56_5 = e1 & op(e2, e1) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14653) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14654) op(e2, e1) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (165), (168), (169), (241), (13636),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14405), (14413), (14531), (14538), (14544),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14545), (14624), (14654), (function-axioms) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #424.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14655) all_56_10 = e1 & op(e2, e0) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14655) implies:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14656) all_56_10 = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (211), (212), (14537),
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14646), (14656) are inconsistent by sub-proof
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2221.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14657) all_56_12 = e1 & op(e0, e3) = e1
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14526), (14657), (function-axioms) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3077.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (14658) all_54_4 = e1 | all_54_4 = e0
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14606), (14612), (14616), (14658) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2089.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | (14659) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14398), (14551), (14659), (function-axioms) are
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #423.
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | | End of split
% 256.26/50.53 | | | | | | | | | | | | | | | | | |
% 256.26/50.53 | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.53 | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | (14660) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 256.26/50.54 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 256.26/50.54 | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (160), (13639), (13648), (14660),
% 256.26/50.54 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.26/50.54 | | | | | | | | | | | | | | | | | | #447.
% 256.26/50.54 | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | End of split
% 256.26/50.54 | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.54 | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | (14661) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 256.26/50.54 | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (13646), (14415), (14540), (14661) are
% 256.26/50.54 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3454.
% 256.26/50.54 | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | End of split
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | Case 2:
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | (14662) all_24_2 = e2
% 256.26/50.54 | | | | | | | | | | | | | | | | (14663) ( ~ (all_24_0 = e0) & op(e3, all_24_1) = all_24_0
% 256.26/50.54 | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 256.26/50.54 | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 256.26/50.54 | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (14662) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | (14664) all_10_2 = e2
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | SIMP: (14664) implies:
% 256.26/50.54 | | | | | | | | | | | | | | | | (14665) all_10_2 = e2
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (14665) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | (14666) all_32_2 = e2
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | REDUCE: (340), (14665) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | (14667) ~ (all_52_1 = e2)
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | REDUCE: (342), (14665) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | (14668) ~ (all_52_2 = e2)
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | REDUCE: (344), (14665) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | (14669) ~ (all_52_3 = e2)
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | REDUCE: (350), (14665) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | (14670) ~ (all_52_12 = e2)
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | REDUCE: (45), (14665) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | (14671) op(e3, e3) = e2
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 256.26/50.54 | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.54 | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | (14672) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 256.26/50.54 | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 256.26/50.54 | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | BETA: splitting (14672) gives:
% 256.26/50.54 | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.54 | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | (14673) all_56_0 = e2 & op(e3, e3) = e2
% 256.26/50.54 | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | ALPHA: (14673) implies:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | (14674) all_56_0 = e2
% 256.26/50.54 | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 256.26/50.54 | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | (14675) ~ (all_32_2 = e2)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | REDUCE: (14666), (14675) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | (14676) $false
% 256.26/50.54 | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | CLOSE: (14676) is inconsistent.
% 256.26/50.54 | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | (14677) ( ~ (all_32_0 = e1) & op(e3, all_32_1) = all_32_0
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 256.26/50.54 | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | (14678) ~ (all_34_2 = e1)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | REDUCE: (14525), (14678) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | (14679) $false
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | CLOSE: (14679) is inconsistent.
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | (14680) ( ~ (all_34_0 = e3) & op(e0, all_34_1) = all_34_0
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | (14681) ~ (all_46_2 = e3)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13633), (14681) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | (14682) $false
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | CLOSE: (14682) is inconsistent.
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | (14683) ( ~ (all_46_0 = e0) & op(e1, all_46_1) = all_46_0
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | (14684) all_54_6 = e3
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (13637), (14684) are inconsistent by
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2704.
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | (14685) ~ (all_54_6 = e3)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | (14686) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | (14687) all_54_9 = e3
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (13635), (14687) are inconsistent by
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2980.
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | (14688) ~ (all_54_9 = e3)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | (14689) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | (14690) all_54_7 = e3
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (14690) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | (14691) all_52_13 = e3
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14691) implies:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | (14692) all_52_13 = e3
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (14692) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | (14693) ~ (all_52_1 = e3)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (14692) imply:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | (14694) ~ (all_52_12 = e3)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | (14695) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 256.26/50.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (235),
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | (14412), (14671), (14674), (14695),
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | #2251.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | (14696) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14696) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14697) all_56_5 = e2 & op(e2, e1) = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14697) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14698) all_56_5 = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14699) all_54_4 = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (14693), (14699) are inconsistent by
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3359.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14700) ~ (all_54_4 = e3)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14701) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14701) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14702) all_54_4 = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (14667), (14702) are inconsistent by
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3355.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14703) ~ (all_54_4 = e2)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14704) all_54_4 = e1 | all_54_4 = e0
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14704) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14705) all_54_4 = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (14705) imply:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14706) all_52_1 = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14706) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14707) all_52_1 = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (14707) imply:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14708) ~ (all_52_2 = e1)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14708) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14709) ~ (all_52_2 = e1)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14667), (14707) imply:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14710) ~ (e2 = e1)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14711) all_54_8 = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (13634), (14711) are inconsistent by
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2703.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14712) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14713) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14713) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14714) all_56_9 = e2 & op(e3, e0) = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14670), (14714), (function-axioms) are
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3452.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14715) all_56_10 = e2 & op(e2, e0) = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14715) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14716) all_56_10 = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (14412),
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14698), (14716) are inconsistent by sub-proof
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2305.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14717) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14717) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14718) all_56_11 = e2 & op(e1, e0) = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14718) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14719) op(e1, e0) = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14720) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14720) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14721) all_56_6 = e1 & op(e1, e3) = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14721) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14722) op(e1, e3) = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14709), (14722), (function-axioms) are
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3447.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14723) all_56_7 = e1 & op(e1, e2) = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14723) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14724) all_56_7 = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14725) op(e1, e2) = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (141), (160), (213),
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (226), (227), (228), (262), (13632),
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13643), (14412), (14668), (14683), (14709),
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14712), (14724), (14725), (function-axioms) are
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14726) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14726) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14727) all_56_8 = e1 & op(e1, e1) = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14727) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14728) op(e1, e1) = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13644), (14728), (function-axioms) are
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #437.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14729) all_56_11 = e1 & op(e1, e0) = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14729) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14730) op(e1, e0) = e1
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14719), (14730), (function-axioms) are
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3109.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14731) all_56_15 = e2 & op(e0, e0) = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14731) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14732) all_56_15 = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14537), (14732) are inconsistent by
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3014.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14733) all_54_4 = e0
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (14402), (14733) are inconsistent by
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2877.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14734) all_56_10 = e2 & op(e2, e0) = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14734) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14735) all_56_10 = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14736) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14736) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14737) all_56_0 = e3 & op(e3, e3) = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14737) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14738) op(e3, e3) = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14671), (14738), (function-axioms) are
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3330.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14739) all_56_1 = e3 & op(e3, e2) = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14739) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14740) all_56_1 = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14741) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14741) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14742) all_56_2 = e3 & op(e2, e3) = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (14693), (14742), (function-axioms) are
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #837.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14743) all_56_3 = e3 & op(e2, e2) = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (13645), (14743), (function-axioms) are
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #432.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14744) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14744) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14745) all_56_5 = e3 & op(e2, e1) = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13637), (14745), (function-axioms) are
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #710.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14746) all_56_10 = e3 & op(e2, e0) = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14746) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14747) all_56_10 = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14735), (14747) imply:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14748) e3 = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14748) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14749) e3 = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14740), (14749) imply:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14750) all_56_1 = e2
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (14529), (14671), (14750),
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #626.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14751) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (13636), (14694), (14751),
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2887.
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | (14752) ~ (all_54_7 = e3)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | (14753) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (14752) imply:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | (14754) ~ (all_52_13 = e3)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | (14755) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14755) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14756) all_56_9 = e3 & op(e3, e0) = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14756) implies:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14757) all_56_9 = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14758) op(e3, e0) = e3
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 256.36/50.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14759) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (14403), (14671), (14759),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2317.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14760) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14760) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14761) all_56_4 = e0 & op(e3, e1) = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14761) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14762) all_56_4 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14753) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14763) all_54_7 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (14763) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14764) all_52_13 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14764) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14765) all_52_13 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (14765) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14766) ~ (all_52_9 = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (14765) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14767) ~ (all_52_14 = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14767) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14768) ~ (all_52_14 = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14754), (14765) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14769) ~ (e3 = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14770) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (235),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14412), (14671), (14674), (14770),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2251.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14771) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14771) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14772) all_56_5 = e2 & op(e2, e1) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14772) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14773) op(e2, e1) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14766), (14773), (function-axioms) are
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3465.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14774) all_56_10 = e2 & op(e2, e0) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14774) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14775) all_56_10 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14776) all_54_11 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (13639), (14776) are inconsistent by
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2814.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14777) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14777) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14778) all_54_11 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (253), (14768), (14778) are inconsistent by
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2813.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14779) ~ (all_54_11 = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14780) all_54_11 = e1 | all_54_11 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14781) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14781) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14782) all_56_4 = e1 & op(e3, e1) = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14762), (14782) are inconsistent by
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14783) all_56_5 = e1 & op(e2, e1) = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14783) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14784) all_56_5 = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14785) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14785) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14786) all_56_4 = e2 & op(e3, e1) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14786) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14787) all_56_4 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (236),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14671), (14757), (14787), (function-axioms) are
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14788) all_56_5 = e2 & op(e2, e1) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14788) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14789) all_56_5 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (14412),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14775), (14789) are inconsistent by sub-proof
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2305.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14790) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14790) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14791) all_56_8 = e2 & op(e1, e1) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13643), (14791) are inconsistent by
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #488.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14792) all_56_14 = e2 & op(e0, e1) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14792) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14793) op(e0, e1) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14686) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14794) all_54_6 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (14766), (14794) are inconsistent by
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3130.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14795) ~ (all_54_6 = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14796) all_54_6 = e1 | all_54_6 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14796) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14797) all_54_6 = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (14797) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14798) all_52_9 = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14798) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14799) all_52_9 = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14799) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14800) ~ (all_52_1 = e1)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14766), (14799) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14801) ~ (e2 = e1)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (14799) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14802) op(e2, e1) = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14803) all_54_4 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (14803) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14804) all_52_1 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14804) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14805) all_52_1 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (14805) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14806) ~ (all_52_2 = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (14805) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14807) ~ (all_52_3 = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14807) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14808) ~ (all_52_3 = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14809) all_54_12 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (14808), (14809) are inconsistent by
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3005.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14810) ~ (all_54_12 = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14811) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14812) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14812) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14813) all_56_6 = e2 & op(e1, e3) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14813) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14814) all_56_6 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14815) op(e1, e3) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14816) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14816) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14817) all_56_6 = e1 & op(e1, e3) = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14817) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14818) op(e1, e3) = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14815), (14818), (function-axioms) are
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2139.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14819) all_56_7 = e1 & op(e1, e2) = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14819) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14820) op(e1, e2) = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14821) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14821) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14822) all_56_0 = e3 & op(e3, e3) = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14822) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14823) op(e3, e3) = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14671), (14823), (function-axioms) are
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3330.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14824) all_56_2 = e3 & op(e2, e3) = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14824) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14825) all_56_2 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14780) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14826) all_54_11 = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (14826) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14827) all_52_14 = e1
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14531), (14827) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14828) $false
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14828) is inconsistent.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14829) all_54_11 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (14829) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14830) all_52_14 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (14830) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14831) ~ (all_52_12 = e0)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14768), (14830) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14832) ~ (e2 = e0)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14531), (14830) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14833) ~ (e1 = e0)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14834) all_54_3 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (14834) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14835) all_52_12 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14835) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14836) all_52_12 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (14836) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14837) ~ (all_52_4 = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14838) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14838) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14839) all_56_1 = e2 & op(e3, e2) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14839) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14840) all_56_1 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (14529), (14671), (14840),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #626.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14841) all_56_3 = e2 & op(e2, e2) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14841) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14842) all_56_3 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14412), (14842) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14843) e2 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14843) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14844) e2 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14775), (14844) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14845) all_56_10 = e0
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (170),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (14403), (14404),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14405), (14845), (function-axioms) are
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #765.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14846) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14846) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14847) all_56_7 = e2 & op(e1, e2) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14847) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14848) all_56_7 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (112), (133),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (158), (159), (162), (163), (165),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (196), (201), (221), (222),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (228), (229), (231), (235),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (242), (252), (253), (261), (262), (273),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13632), (13634), (13635), (13637), (13644),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13645), (14404), (14412), (14526), (14527),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14529), (14531), (14538), (14663), (14667),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14668), (14669), (14670), (14671), (14674),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14677), (14680), (14683), (14689), (14762),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14768), (14775), (14780), (14784), (14793),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14802), (14808), (14811), (14848),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #415.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14849) all_56_13 = e2 & op(e0, e2) = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14849) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14850) all_56_13 = e2
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14851) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (221), (222),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (14775), (14825), (14837), (14851),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2444.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14852) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14852) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14853) all_56_7 = e3 & op(e1, e2) = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14853) implies:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14854) op(e1, e2) = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14820), (14854), (function-axioms) are
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3119.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14855) all_56_13 = e3 & op(e0, e2) = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (235),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14671), (14674), (14825), (14850), (14855),
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1068.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14856) ~ (all_54_3 = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (14856) imply:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14857) ~ (all_52_12 = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14758), (14857), (function-axioms) are
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3135.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14858) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14858) gives:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14859) all_56_6 = e3 & op(e1, e3) = e3
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13634), (14859), (function-axioms) are
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14860) all_56_12 = e3 & op(e0, e3) = e3
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14860) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14861) op(e0, e3) = e3
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (235),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14671), (14814), (14861), (function-axioms) are
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #465.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14862) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (13644), (14531), (14862),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #436.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14863) all_56_7 = e2 & op(e1, e2) = e2
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14863) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14864) all_56_7 = e2
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (112), (133),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (158), (159), (162), (163), (165),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (196), (201), (221), (222),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (228), (229), (231), (235),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (242), (252), (253), (261), (262), (273),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13632), (13634), (13635), (13637), (13644),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13645), (14404), (14412), (14526), (14527),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14529), (14531), (14538), (14663), (14667),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14668), (14669), (14670), (14671), (14674),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14677), (14680), (14683), (14689), (14762),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14768), (14775), (14780), (14784), (14793),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14802), (14808), (14811), (14864),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #415.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14865) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14865) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14866) all_56_8 = e2 & op(e1, e1) = e2
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13643), (14866) are inconsistent by
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #488.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14867) all_56_11 = e2 & op(e1, e0) = e2
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14867) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14868) all_56_11 = e2
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14869) op(e1, e0) = e2
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14870) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14870) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14871) all_56_6 = e0 & op(e1, e3) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14871) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14872) op(e1, e3) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13632), (14683), (14869), (14872),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #460.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14873) all_56_7 = e0 & op(e1, e2) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14873) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14874) all_56_7 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14412), (14874) are inconsistent by sub-proof
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3252.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14875) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14875) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14876) all_56_8 = e0 & op(e1, e1) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13643), (14876) are inconsistent by
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1874.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14877) all_56_11 = e0 & op(e1, e0) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14877) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14878) all_56_11 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14868), (14878) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14879) e2 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14775), (14879) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14880) all_56_10 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (170),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (14403), (14404),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14405), (14880), (function-axioms) are
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #765.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14881) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (14402), (14667), (14800), (14881) are
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2680.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14882) all_54_6 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (14406), (14882) are inconsistent by
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3128.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14883) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (13644), (14528), (14883),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #435.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14884) all_54_7 = e1 | all_54_7 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (14407), (14530), (14884) are inconsistent
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2795.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14885) all_56_9 = e0 & op(e3, e0) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14885) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14886) op(e3, e0) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14758), (14886), (function-axioms) are
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #872.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (14887) all_56_10 = e3 & op(e2, e0) = e3
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14754), (14887), (function-axioms) are
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3007.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14888) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (160), (13639), (13648), (14888),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | #447.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14889) all_56_1 = e2 & op(e3, e2) = e2
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | ALPHA: (14889) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14890) all_56_1 = e2
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (236), (14529), (14671), (14890),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.56 | | | | | | | | | | | | | | | | | | #626.
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | (14891) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 256.36/50.56 | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 256.36/50.56 | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 256.36/50.56 | | | | | | | | | | | | | | | | | (236), (14529), (14670), (14671), (14891),
% 256.36/50.56 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.56 | | | | | | | | | | | | | | | | | #625.
% 256.36/50.56 | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | End of split
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | (14892) all_16_2 = e0
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | COMBINE_EQS: (331), (14892) imply:
% 256.36/50.56 | | | | | | | | | | | | (14893) all_10_2 = e0
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | SIMP: (14893) implies:
% 256.36/50.56 | | | | | | | | | | | | (14894) all_10_2 = e0
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | COMBINE_EQS: (284), (14894) imply:
% 256.36/50.56 | | | | | | | | | | | | (14895) all_50_2 = e0
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | REDUCE: (342), (14894) imply:
% 256.36/50.56 | | | | | | | | | | | | (14896) ~ (all_52_2 = e0)
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | REDUCE: (344), (14894) imply:
% 256.36/50.56 | | | | | | | | | | | | (14897) ~ (all_52_3 = e0)
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | REDUCE: (348), (14894) imply:
% 256.36/50.56 | | | | | | | | | | | | (14898) ~ (all_52_8 = e0)
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | REDUCE: (13646), (14894) imply:
% 256.36/50.56 | | | | | | | | | | | | (14899) ~ (e1 = e0)
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | BETA: splitting (229) gives:
% 256.36/50.56 | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | (14900) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 256.36/50.56 | | | | | | | | | | | | | & op(e2, e3) = e0)
% 256.36/50.56 | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | BETA: splitting (14900) gives:
% 256.36/50.56 | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | (14901) all_56_0 = e0 & op(e3, e3) = e0
% 256.36/50.56 | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | ALPHA: (14901) implies:
% 256.36/50.56 | | | | | | | | | | | | | | (14902) all_56_0 = e0
% 256.36/50.56 | | | | | | | | | | | | | | (14903) op(e3, e3) = e0
% 256.36/50.56 | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 256.36/50.56 | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | (14904) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 256.36/50.56 | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (14406), (14898), (14904),
% 256.36/50.56 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.56 | | | | | | | | | | | | | | | #2224.
% 256.36/50.56 | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | (14905) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 256.36/50.56 | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 256.36/50.56 | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | BETA: splitting (14905) gives:
% 256.36/50.56 | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | (14906) all_56_8 = e0 & op(e1, e1) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13643), (14906) are inconsistent by
% 256.36/50.56 | | | | | | | | | | | | | | | | sub-proof #1874.
% 256.36/50.56 | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | (14907) all_56_14 = e0 & op(e0, e1) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | ALPHA: (14907) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | (14908) all_56_14 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | (14909) op(e0, e1) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | (14910) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 256.36/50.56 | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (226), (227),
% 256.36/50.56 | | | | | | | | | | | | | | | | | (228), (14412), (14896), (14910),
% 256.36/50.56 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.56 | | | | | | | | | | | | | | | | | #2272.
% 256.36/50.56 | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | (14911) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 256.36/50.56 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 256.36/50.56 | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | BETA: splitting (14911) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14912) all_56_8 = e0 & op(e1, e1) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13643), (14912) are inconsistent by
% 256.36/50.56 | | | | | | | | | | | | | | | | | | sub-proof #1874.
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14913) all_56_11 = e0 & op(e1, e0) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | ALPHA: (14913) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14914) all_56_11 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14915) op(e1, e0) = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 256.36/50.56 | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (14909) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14916) all_52_11 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 256.36/50.56 | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (14915) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14917) all_52_14 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | REDUCE: (112), (14917) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14918) ~ (all_52_12 = e0)
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | REDUCE: (374), (14917) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14919) ~ (all_4_2 = e0)
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | SIMP: (14919) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | (14920) ~ (all_4_2 = e0)
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | (14921) all_54_15 = e3
% 256.36/50.56 | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (13648), (14921) are inconsistent by
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | sub-proof #3475.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | (14922) ~ (all_54_15 = e3)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | (14923) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (14923) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | (14924) all_54_15 = e2
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (375), (14924) are inconsistent by
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | sub-proof #3474.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | (14925) ~ (all_54_15 = e2)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | (14926) all_54_15 = e1 | all_54_15 = e0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14926) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | (14927) all_54_15 = e1
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (14927) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | (14928) all_4_2 = e1
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | SIMP: (14928) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | (14929) all_4_2 = e1
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (14929) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | (14930) ~ (all_52_3 = e1)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (14929) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | (14931) ~ (all_52_7 = e1)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (14929) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | (14932) ~ (all_52_12 = e1)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13648), (14929) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | (14933) ~ (e3 = e1)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (14929) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | (14934) ~ (e2 = e1)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | (14935) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (168),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | (207), (211), (212), (222), (223), (224), (14412),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | (14908), (14914), (14930), (14931), (14932),
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | (14935), (function-axioms) are inconsistent by
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2220.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | (14936) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14936) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | (14937) all_56_11 = e1 & op(e1, e0) = e1
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14937) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | (14938) op(e1, e0) = e1
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14915), (14938), (function-axioms) are
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #450.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | (14939) all_56_15 = e1 & op(e0, e0) = e1
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14939) implies:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | (14940) all_56_15 = e1
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | (14941) ~ (all_48_2 = e0)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14401), (14941) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | (14942) $false
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14942) is inconsistent.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | (14943) ( ~ (all_48_0 = e1) & op(e2, all_48_1) = all_48_0
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14944) ~ (all_50_2 = e0)
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14895), (14944) imply:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14945) $false
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14945) is inconsistent.
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | (14946) ( ~ (all_50_0 = e1) & op(e3, all_50_1) = all_50_0
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (14947) all_54_9 = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (13635), (14947) are inconsistent by
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2980.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (14948) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14949) all_54_2 = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (13636), (14949) are inconsistent by
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2837.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14950) ~ (all_54_2 = e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14951) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14952) all_54_13 = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (14952) imply:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14953) all_52_7 = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (14953) imply:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14954) ~ (all_52_3 = e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (14953) imply:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14955) ~ (all_52_4 = e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14956) all_54_12 = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (14956) imply:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14957) all_52_3 = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14954), (14957) imply:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14958) $false
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14958) is inconsistent.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14959) ~ (all_54_12 = e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14960) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14961) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (14903), (14955), (14961),
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2934.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14962) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14962) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14963) all_56_4 = e3 & op(e3, e1) = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14963) implies:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14964) op(e3, e1) = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13636), (14964), (function-axioms) are
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3466.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14965) all_56_9 = e3 & op(e3, e0) = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14965) implies:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14966) op(e3, e0) = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14967) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14967) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14968) all_56_9 = e2 & op(e3, e0) = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14968) implies:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14969) op(e3, e0) = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14966), (14969), (function-axioms) are
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #679.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14970) all_56_10 = e2 & op(e2, e0) = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14970) implies:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14971) all_56_10 = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14972) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14972) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14973) all_56_12 = e2 & op(e0, e3) = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14973) implies:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14974) all_56_12 = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14975) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14975) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14976) all_56_0 = e3 & op(e3, e3) = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14976) implies:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14977) op(e3, e3) = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14903), (14977), (function-axioms) are
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3246.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14978) all_56_2 = e3 & op(e2, e3) = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14978) implies:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14979) op(e2, e3) = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14960) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14980) all_54_12 = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (14980) imply:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14981) all_52_3 = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14981) implies:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14982) all_52_3 = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (14982) imply:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14983) ~ (all_52_1 = e2)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14954), (14982) imply:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14984) ~ (e3 = e2)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14985) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14985) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14986) all_56_6 = e2 & op(e1, e3) = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14986) implies:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14987) all_56_6 = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (14902),
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14903), (14974), (14987), (function-axioms) are
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2719.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14988) all_56_7 = e2 & op(e1, e2) = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14988) implies:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14989) op(e1, e2) = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14990) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25)) | (all_57_9 = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e2) & ~ (all_57_3 = e3) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e3, e3) = all_57_1 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e3) = all_57_3 & op(e2,
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e1) = all_57_19 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_1) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_13 = e1 & ~ (all_57_3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_21 = e2) & ~ (all_57_27 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e3) = all_57_3 & op(e2, e2) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & op(e2, e1) = all_57_19 & op(e2, e0)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e2) = e1 & op(e1, e1) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_3) & $i(all_57_11) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_21) & $i(all_57_27))
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14990) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14991) (all_57_3 = e2 & ~ (all_57_1 = e3) & ~ (all_57_9
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_11 = e3) & ~ (all_57_17 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & op(e3, e3) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e2, e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, e2) = all_57_11 & $i(all_57_1) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_11) & $i(all_57_17) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)) | (all_57_5 = e1 & ~ (all_57_1 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 = e1)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_21 = e3) & ~ (all_57_25 = e0) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_25
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & op(e1, e1) = all_57_21 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_25))
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13644), (14983), (14991),
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #489.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14992) (all_57_9 = e3 & ~ (all_57_1 = e2) & ~ (all_57_3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_11 = e2) & ~ (all_57_19 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_27 = e0) & op(e3, e3) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = e3 & op(e2, e3) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2, e1) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_3) & $i(all_57_11) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_13 = e1
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_21 = e2) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e2, e3) = all_57_3 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e1, e2) = e1 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & $i(all_57_3) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_21) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14979), (14992), (function-axioms) are
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2448.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14993) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_25 = e3 & ~ (all_57_1
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_23 = e1) & ~ (all_57_31 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e3) = all_57_1 & op(e3, e0) = e3
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & op(e0, e0) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_1) & $i(all_57_7) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_23) & $i(all_57_31)) |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14993) gives:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14994) (all_57_17 = e3 & ~ (all_57_1 = e1) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & op(e3,
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e1) = e3 & op(e1, e3)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_5 & op(e1, e2) = all_57_13 & op(e1, e1)
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_21 & op(e1, e0) = all_57_29 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_5) & $i(all_57_13) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_19 = e2
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e3) & ~ (all_57_11 = e1) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & op(e2, e2) = all_57_11 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e3) = all_57_5 & op(e1,
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_13 & op(e1, e1) = all_57_21 &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_5) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_13) & $i(all_57_21) &
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14989), (14994), (function-axioms) are
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2069.
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14995) (all_57_25 = e3 & ~ (all_57_1 = e0) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e3,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & op(e3, e0) = e3 & op(e0, e3)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_7) & $i(all_57_15) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (all_57_27 = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e3) & ~ (all_57_11 = e0) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_23 = e1) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e2, e2) = all_57_11 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e3) = all_57_7 & op(e0,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_15 & op(e0, e1) = all_57_23 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_7) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)) | (op(e0, e0) = all_57_31 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_7 = e0 & ~ (all_57_1 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_9 = e2) & ~ (all_57_17 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_25 = e0) & ~ (all_57_31
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e3) = all_57_1 & op(e3, e2)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e3, e1) = all_57_17 & op(e3,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_25 & op(e0, e3) = e0 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1) & $i(all_57_9) & $i(all_57_17)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_25)) | (all_57_15 = e0 & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19 & op(e2, e0) = all_57_27 & op(e0,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3) & $i(all_57_11) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_27)) | (all_57_23
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_5 = e3) & ~ (all_57_13 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e1) & ~ (all_57_29
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e1) & op(e1, e3) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e1, e2) = all_57_13 & op(e1,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = all_57_29 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_5) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_29 = e1 & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e3) & ~ (all_57_15 = e2) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0) & ~ (all_57_23 = e1) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e0) & op(e1, e1) = all_57_21 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e3) = all_57_7 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_15 & op(e0, e1) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))))
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14995) gives:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14996) all_57_25 = e3 & ~ (all_57_1 = e0) & ~ (all_57_7
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & ~ (all_57_23 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e0) & op(e3, e3) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e0) = e3 & op(e0, e3) = all_57_7
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_15 & op(e0, e1) = all_57_23
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_31 & $i(all_57_1) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_15) & $i(all_57_23) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14903), (14996), (function-axioms) are
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2766.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14997) (all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e0) = all_57_31 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_11) & $i(all_57_15) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_31)) | (op(e0, e0) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_7 = e0 & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3) & ~ (all_57_9 = e2) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_25 = e0) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e3, e3) = all_57_1 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1) & $i(all_57_9) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_3 = e3) & ~ (all_57_11 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_19 = e1) & ~ (all_57_27
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_31 = e2) & op(e2, e3) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e2, e2) = all_57_11 & op(e2,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_19 & op(e2, e0) = all_57_27 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_3) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e3) & ~ (all_57_13 = e2) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e1) & ~ (all_57_29 = e0) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e1, e3) = all_57_5 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_13 & op(e1, e1) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = all_57_29 & op(e0,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_5) & $i(all_57_13) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_29)) | (all_57_29
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e3) & ~ (all_57_15 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_21 = e0) & ~ (all_57_23
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_31 = e0) & op(e1, e1) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e1, e0) = e1 & op(e0, e3) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_23 & $i(all_57_7) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))))
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14997) gives:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14998) all_57_27 = e2 & ~ (all_57_7 = e3) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_15 = e2) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e2,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_11 & op(e2, e0) = e2 & op(e0, e3) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e0) = all_57_31 & $i(all_57_7)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_11) & $i(all_57_15) & $i(all_57_23) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14998) implies:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14999) ~ (all_57_11 = e0)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15000) op(e2, e2) = all_57_11
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14413), (14999), (15000), (function-axioms) are
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15001) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e0 & ~ (all_57_1 = e3) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_17 = e1) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & ~ (all_57_31 = e3) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_1 & op(e3, e2) = all_57_9
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e3) = e0 & $i(all_57_1) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_17) & $i(all_57_25))
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ~ (all_57_3 = e3) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & ~ (all_57_19 = e1) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & ~ (all_57_31 = e2) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_3 & op(e2, e2) = all_57_11
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_57_19 & op(e2, e0) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 & op(e0, e2) = e0 & $i(all_57_3) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_19) & $i(all_57_27))
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e0 & ~ (all_57_5 = e3) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_21 = e1) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e0) & ~ (all_57_31 = e1) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_5 & op(e1, e2) = all_57_13
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_21 & op(e1, e0) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29))
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_21 & op(e1, e0) = e1 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_7 & op(e0, e2) = all_57_15
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_57_23 & $i(all_57_7) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_21) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)))
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15001) implies:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15002) (all_57_7 = e0 & ~ (all_57_1 = e3) & ~ (all_57_9
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_17 = e1) & ~ (all_57_25 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_31 = e3) & op(e3, e3) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, e2) = all_57_9 & op(e3, e1) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_25 & op(e0, e3)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & $i(all_57_1) & $i(all_57_9) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_25)) | (all_57_15 = e0
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_11 = e2) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e1) & ~ (all_57_27 = e0) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e2, e3) = all_57_3 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_11 & op(e2, e1) = all_57_19
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_57_27 & op(e0, e2) = e0 &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_11) & $i(all_57_19) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_23 = e0 & ~ (all_57_5
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_21 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_29 = e0) & ~ (all_57_31 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_57_5 & op(e1, e2) =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e1, e1) = all_57_21 & op(e1, e0)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_29 & op(e0, e1) = e0 & $i(all_57_5) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_21) & $i(all_57_29)) |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1 & ~ (all_57_7 = e3) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & ~ (all_57_21 = e0) & ~
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & ~ (all_57_31 = e0) & op(e1,
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_21 & op(e1, e0) = e1 & op(e0, e3)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e2) = all_57_15 & op(e0, e1)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & $i(all_57_7) & $i(all_57_15) &
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_23))
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (14897), (14915), (14979), (15002),
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #412.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15003) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15003) gives:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15004) all_56_8 = e2 & op(e1, e1) = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13643), (15004) are inconsistent by
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #488.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15005) all_56_11 = e2 & op(e1, e0) = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15005) implies:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15006) all_56_11 = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14914), (15006) imply:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15007) e2 = e0
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14971), (15007) imply:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15008) all_56_10 = e0
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (170),
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (14403), (14404),
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14405), (15008), (function-axioms) are
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #765.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15009) all_54_12 = e1 | all_54_12 = e0
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (252), (14897), (14930), (15009) are inconsistent
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3002.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15010) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15010) gives:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15011) all_56_6 = e3 & op(e1, e3) = e3
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13634), (15011), (function-axioms) are
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15012) all_56_12 = e3 & op(e0, e3) = e3
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14974), (15012) are inconsistent by
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2756.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15013) all_56_13 = e2 & op(e0, e2) = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15013) implies:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15014) op(e0, e2) = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (158), (252), (14897), (14930), (14960),
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15014), (function-axioms) are inconsistent by
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3001.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15015) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15015) gives:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15016) all_56_14 = e2 & op(e0, e1) = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15016) implies:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15017) op(e0, e1) = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (14909), (15017), (function-axioms)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #480.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15018) all_56_15 = e2 & op(e0, e0) = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15018) implies:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15019) all_56_15 = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14940), (15019) imply:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15020) e2 = e1
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (211), (212), (14914),
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14940), (14971), (15020) are inconsistent by
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #449.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15021) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15021) gives:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15022) all_56_11 = e2 & op(e1, e0) = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14914), (15022) are inconsistent by
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2339.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15023) all_56_15 = e2 & op(e0, e0) = e2
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14940), (15023) are inconsistent by
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3000.
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15024) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15024) gives:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15025) all_54_13 = e2
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (15025) imply:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15026) all_52_7 = e2
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (15026) imply:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15027) ~ (all_52_3 = e2)
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (15026) imply:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15028) ~ (all_52_4 = e2)
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (15026) imply:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15029) ~ (all_52_6 = e2)
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15030) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15030) gives:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15031) all_56_12 = e2 & op(e0, e3) = e2
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (15027), (15031), (function-axioms) are
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3401.
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15032) all_56_13 = e2 & op(e0, e2) = e2
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15032) implies:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15033) all_56_13 = e2
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15034) op(e0, e2) = e2
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15035) all_54_12 = e3
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (15035) imply:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15036) all_52_3 = e3
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15036) implies:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15037) all_52_3 = e3
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (15037) imply:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15038) ~ (all_52_1 = e3)
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15039) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 256.36/50.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | &